
Time bar (total: 4.7s)
| 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)
| 641.0ms | 8 256× | 0 | valid |
ival-cos: 172.0ms (36.7% of total)ival-sin: 153.0ms (32.7% of total)ival-mult: 101.0ms (21.6% of total)ival-add: 33.0ms (7% 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 (35.8% of total)ival-cos: 9.0ms (32.2% of total)ival-mult: 6.0ms (21.5% of total)ival-add: 2.0ms (7.2% 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 | 79 | 81 |
| 2 | 139 | 81 |
| 3 | 307 | 81 |
| 4 | 458 | 81 |
| 5 | 688 | 81 |
| 6 | 861 | 81 |
| 7 | 947 | 81 |
| 8 | 1025 | 81 |
| 9 | 1091 | 81 |
| 10 | 1105 | 81 |
| 11 | 1110 | 81 |
| 12 | 1112 | 81 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 16 | 9 |
| 0 | 16 | 8 |
| 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 (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 | 128 | (+.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 | 16 | 24 |
| 0 | 16 | 23 |
| 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 (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 | 0.00390625 | (+.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-add: 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 |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(cos y) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | x | @ | inf | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | y | @ | inf | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | z | @ | 0 | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | x | @ | -inf | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 240 |
| 1 | 295 | 236 |
| 2 | 891 | 230 |
| 3 | 2075 | 224 |
| 4 | 3736 | 224 |
| 5 | 6393 | 224 |
| 0 | 8811 | 195 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(cos y) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
| Outputs |
|---|
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
x |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(+ x (* -1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(*.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 (*.f64 y y) 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)) 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 (pow.f64 y #s(literal 5 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)) |
(cos y) |
(cos.f64 y) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 29 | 19 |
| 2 | 185 | 19 |
| 3 | 1836 | 19 |
| 0 | 8386 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.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 (neg.f64 z) (sin.f64 y) (*.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 (pow.f64 (/.f64 (fma.f64 (-.f64 (*.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 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 9 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #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 (/.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) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.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 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.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 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (neg.f64 (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 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.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 (neg.f64 z) (sin.f64 y) (*.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 (-.f64 (*.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 (sin.f64 y) z) #s(literal 9 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 9 binary64))) (fma.f64 (-.f64 (*.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 (neg.f64 z) (sin.f64 y) (*.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 (neg.f64 z) (sin.f64 y) (*.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 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))) |
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(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (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 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (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 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (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 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (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)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (*.f64 (fma.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))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (*.f64 (fma.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)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (+.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))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (+.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)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 (*.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 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 (*.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 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 (*.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 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (+.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 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (+.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 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (+.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)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)) (+.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)))) (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 6 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 (*.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 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 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 (*.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 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (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 (cos.f64 y) x) (*.f64 (neg.f64 z) (sin.f64 y))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (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 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) |
(*.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 #s(literal -1 binary64) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (sin.f64 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z))) |
Compiled 7 649 to 562 computations (92.7% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 182 | 12 | 194 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 183 | 12 | 195 |
| Status | Accuracy | Program |
|---|---|---|
| 80.5% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) | |
| ▶ | 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| 58.1% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (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))) | |
| 58.7% | (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) | |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
| 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))) |
| 58.6% | (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) | |
| ▶ | 57.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
| 57.6% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) | |
| ▶ | 58.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| 45.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
Compiled 454 to 304 computations (33% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) | |
| cost-diff | 7168 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.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 | 128 | (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) | |
| cost-diff | 0 | (fma.f64 z y x) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) x) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 182 |
| 0 | 50 | 176 |
| 1 | 72 | 176 |
| 2 | 95 | 176 |
| 3 | 188 | 176 |
| 4 | 342 | 176 |
| 5 | 421 | 176 |
| 6 | 517 | 176 |
| 7 | 534 | 176 |
| 8 | 585 | 176 |
| 0 | 585 | 175 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
y |
z |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(fma.f64 z y x) |
z |
y |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
#s(literal -1/6 binary64) |
(*.f64 z y) |
z |
y |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
(+.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 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
y |
z |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(literal -1 binary64) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(sin.f64 y) |
y |
z |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(fma.f64 z y x) |
z |
y |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.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 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(sin.f64 y) |
y |
z |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
#s(literal -1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.06640625 | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) | |
| accuracy | 0.09375 | (*.f64 (cos.f64 y) x) | |
| accuracy | 0.1640625 | (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) | |
| accuracy | 0.23046875 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) | |
| accuracy | 0.00390625 | (+.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 | 0.01953125 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) | |
| accuracy | 0.03125 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) | |
| accuracy | 0.1640625 | (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) | |
| accuracy | 27.001084559902512 | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) | |
| accuracy | 0 | (fma.f64 z y x) | |
| accuracy | 26.38165742913939 | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.06640625 | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) | |
| accuracy | 0.09375 | (*.f64 (cos.f64 y) x) |
| 54.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 351 to 58 computations (83.5% saved)
ival-mult: 13.0ms (34.4% of total)ival-add: 6.0ms (15.9% of total)ival-sin: 5.0ms (13.2% of total)const: 4.0ms (10.6% of total)ival-cos: 4.0ms (10.6% of total)ival-pow: 4.0ms (10.6% of total)ival-div: 2.0ms (5.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(fma.f64 z y x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
(+.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 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
| Outputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* y z) |
(+ x (* y z)) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(+ z (* -1/6 (* (pow y 2) z))) |
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z)))) |
(* -1/6 (* y z)) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(/ 1 (* z (sin y))) |
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(+ (* x (- (/ (* 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)))) (* -1 (/ (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)) x))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(* -1/2 (* x y)) |
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))) |
(* -1/2 x) |
(* x (- (* -1/6 (/ (* y z) x)) 1/2)) |
(/ 1 (* x (cos y))) |
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) |
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) |
(* -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))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -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)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
z |
(+ z (* -1/2 (* x y))) |
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))) |
(* 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 (/ (* y z) (pow x 2))) (/ 1 x)) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
(sin y) |
(cos y) |
(* y (+ z (/ x y))) |
(* -1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2)))))) |
(* -1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* y (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z))) |
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) |
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ y (/ x z))) |
(* y (* z (+ 1 (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ x z)) (* -1/6 y))) |
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* 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))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1))) |
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z))))) |
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z)) |
(* -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))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | inf | ((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* 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)) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1)) |
| 3.0ms | x | @ | inf | ((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* 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)) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1)) |
| 2.0ms | x | @ | 0 | ((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* 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)) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1)) |
| 2.0ms | z | @ | -inf | ((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* 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)) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1)) |
| 2.0ms | y | @ | inf | ((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* 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)) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 427 | 1739 |
| 1 | 1434 | 1667 |
| 2 | 4961 | 1639 |
| 0 | 8621 | 1534 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* y z) |
(+ x (* y z)) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(+ z (* -1/6 (* (pow y 2) z))) |
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z)))) |
(* -1/6 (* y z)) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(/ 1 (* z (sin y))) |
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(+ (* x (- (/ (* 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)))) (* -1 (/ (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)) x))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(* -1/2 (* x y)) |
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))) |
(* -1/2 x) |
(* x (- (* -1/6 (/ (* y z) x)) 1/2)) |
(/ 1 (* x (cos y))) |
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) |
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) |
(* -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))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -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)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
z |
(+ z (* -1/2 (* x y))) |
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))) |
(* 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 (/ (* y z) (pow x 2))) (/ 1 x)) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
(sin y) |
(cos y) |
(* y (+ z (/ x y))) |
(* -1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2)))))) |
(* -1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* y (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z))) |
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) |
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ y (/ x z))) |
(* y (* z (+ 1 (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ x z)) (* -1/6 y))) |
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* 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))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1))) |
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z))))) |
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z)) |
(* -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))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
| Outputs |
|---|
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* y z) |
(*.f64 z y) |
(+ x (* y z)) |
(fma.f64 z y x) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x) |
(+ z (* -1/6 (* (pow y 2) z))) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) |
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) |
(* -1/6 (* y z)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 z y)) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) |
(/ 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)))) |
(/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 x (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z) |
(+ (* x (- (/ (* 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 (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 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 z) z))) 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)))) (* -1 (/ (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 (fma.f64 (neg.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #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 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 z) z))) x (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
x |
(* x (+ 1 (/ (* y z) x))) |
(fma.f64 (/.f64 (*.f64 z y) x) x x) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) x)) x x) |
(* -1/2 (* x y)) |
(*.f64 (*.f64 x y) #s(literal -1/2 binary64)) |
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (*.f64 y (/.f64 (*.f64 z y) x)) #s(literal -1/6 binary64) (/.f64 z x))) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* x (- (* -1/6 (/ (* y z) x)) 1/2)) |
(*.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) x) |
(/ 1 (* x (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) |
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y)))) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 z y) 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 (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) x))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) x) x (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) |
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x) #s(literal 1/2 binary64))) |
(* -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 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(* -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)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z (/.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 z z) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x))) x))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(+ x (* -1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) y) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x y) y) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (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)) |
z |
(+ z (* -1/2 (* x y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) |
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) y) y (*.f64 #s(literal -1/6 binary64) z)) (*.f64 z y)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x)) |
(fma.f64 (/.f64 (neg.f64 z) x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
(fma.f64 (fma.f64 (fma.f64 z (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 (/.f64 (neg.f64 z) x) x)) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 (/.f64 (/.f64 z x) x) #s(literal 1/3 binary64) (/.f64 (fma.f64 z (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (/.f64 z x) #s(literal 3 binary64))) x)) (fma.f64 z (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 (/.f64 (neg.f64 z) x) x)) y (/.f64 #s(literal 1 binary64) x)) |
(sin y) |
(sin.f64 y) |
(cos y) |
(cos.f64 y) |
(* y (+ z (/ x y))) |
(*.f64 (+.f64 (/.f64 x y) z) y) |
(* -1/6 (* (pow y 3) z)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal -1/6 binary64)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y)))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2)))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (+.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 z (*.f64 y y)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1/6 (* (pow y 2) z)) |
(*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64)) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) y) y) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y)))) y) y) |
(* y (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) y) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(*.f64 (+.f64 (/.f64 x y) z) y) |
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (+.f64 (/.f64 x y) z) y)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y))) y) y) |
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) y) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x) |
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) |
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x))) x) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) z (/.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (+ y (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* y (* z (+ 1 (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x y) y) z) #s(literal -1/2 binary64) (+.f64 (/.f64 x z) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))) z) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) |
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z) |
(* z (+ (* -1/2 (/ x z)) (* -1/6 y))) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z) |
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 x (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) z) (pow.f64 (sin.f64 y) #s(literal 3 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))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) z) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (*.f64 z y)) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (neg.f64 z))) (neg.f64 z)) |
(* -1 (* z (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 z)) |
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1))) |
(*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 z)) |
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z))))) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z) |
(* -1 (/ (- (/ (* 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 (/ (- (* -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 (neg.f64 (cos.f64 y)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (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 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x (/.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) z))) z))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 138 |
| 0 | 50 | 132 |
| 1 | 179 | 132 |
| 2 | 1164 | 132 |
| 0 | 8253 | 131 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(fma.f64 z y x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
(+.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 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
| Outputs |
|---|
(*.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 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 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #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)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #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 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 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (*.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 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 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.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 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))))) |
(*.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)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.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 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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))) (pow.f64 (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #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 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(*.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) (pow.f64 (fma.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 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.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 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1 binary64)) |
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(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #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 z (sin.f64 y)) (*.f64 x (cos.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)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) |
(*.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 (-.f64 (*.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 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) |
(*.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 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.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 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.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)) (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) |
(*.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)) (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64))) |
(*.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (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))) |
(*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (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))) |
(*.f64 (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (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))) |
(*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (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))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(pow.f64 (pow.f64 (fma.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 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 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 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 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 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 3 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 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) #s(literal 2 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 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) #s(literal 3 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 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (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 (neg.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (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 (neg.f64 (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (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 (neg.f64 (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (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 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.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 (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal -1 binary64)) |
(/.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(-.f64 (/.f64 (*.f64 x (cos.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 (*.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 (/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) |
(-.f64 (/.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 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) |
(-.f64 (/.f64 (*.f64 z (sin.f64 y)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (*.f64 x (cos.f64 y)) (-.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 0 binary64) (/.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal -1/2 binary64) (*.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) |
Compiled 20 832 to 2 034 computations (90.2% saved)
29 alts after pruning (27 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 529 | 25 | 554 |
| Fresh | 5 | 2 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 537 | 29 | 566 |
| Status | Accuracy | Program |
|---|---|---|
| 80.5% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| 83.4% | (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 50.0% | (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| 50.0% | (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) | |
| 58.6% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) | |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
| 39.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)))) | |
| 39.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 x (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z))) | |
| 56.0% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) | |
| 40.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 68.1% | (+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| 57.9% | (+.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))) | |
| 48.5% | (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) | |
| 57.6% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)) | |
| 91.6% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) | |
| ▶ | 87.2% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
| 45.5% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z)) | |
| ▶ | 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 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y 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) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 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)) |
| 38.3% | #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)) | |
| ✓ | 58.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z 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 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)))) | |
| 58.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 z y) x)) | |
| 38.3% | #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))) | |
| 57.6% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))) | |
| 46.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) | |
| ▶ | 22.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
Compiled 1 252 to 865 computations (30.9% saved)
| 1× | egg-herbie |
Found 19 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 (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) | |
| cost-diff | 704 | (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z)) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | (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) | |
| 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 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (+ (* z y) x) (*.f64 z y)) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.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 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 327 |
| 0 | 76 | 299 |
| 1 | 122 | 299 |
| 2 | 189 | 299 |
| 3 | 363 | 299 |
| 4 | 649 | 297 |
| 5 | 890 | 297 |
| 6 | 1213 | 297 |
| 7 | 2133 | 297 |
| 8 | 2792 | 297 |
| 9 | 2939 | 297 |
| 10 | 3357 | 297 |
| 11 | 3926 | 297 |
| 12 | 4216 | 297 |
| 13 | 4646 | 297 |
| 14 | 6388 | 297 |
| 15 | 7530 | 297 |
| 16 | 7922 | 297 |
| 0 | 8177 | 295 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
z |
(sin.f64 y) |
y |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#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)) |
(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 (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
#s(literal -1/6 binary64) |
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 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z)) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 z y) |
z |
y |
#s(literal -1/6 binary64) |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
x |
(sin.f64 y) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) 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 (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
#s(approx (+ (* z y) x) (*.f64 y z)) |
(*.f64 z y) |
(*.f64 y 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 (*.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 (*.f64 #s(literal -1/6 binary64) (*.f64 y z)) y)) y x)) |
(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) |
(fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y z)) y)) y x) |
#s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) |
#s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y z)) y)) |
(*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y z)) y) |
(*.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
#s(literal -1/6 binary64) |
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 (*.f64 z y) #s(literal -1/6 binary64) (*.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 y z) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z))) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z)) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
#s(literal -1/6 binary64) |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
x |
(sin.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) | |
| accuracy | 0.1015625 | (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) | |
| accuracy | 0.125 | (/.f64 (cos.f64 y) z) | |
| accuracy | 8.134327249010662 | (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) | |
| accuracy | 0.1640625 | (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) | |
| accuracy | 0.16796875 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z))) | |
| accuracy | 0.6604363436471633 | (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z)) | |
| accuracy | 27.001084559902512 | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) | |
| accuracy | 0.171875 | (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64)) | |
| accuracy | 6.8534857758075844 | (*.f64 (*.f64 y y) z) | |
| accuracy | 27.001084559902512 | #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)) | |
| accuracy | 41.89008468559357 | #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 26.38165742913939 | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) | |
| accuracy | 30.01819665387674 | #s(approx (+ (* z y) x) (*.f64 z y)) | |
| accuracy | 0.06640625 | (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) | |
| accuracy | 0.09375 | (*.f64 x (cos.f64 y)) | |
| accuracy | 0.1640625 | (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) | |
| accuracy | 0.23046875 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
| 87.0ms | 256× | 0 | valid |
Compiled 587 to 92 computations (84.3% saved)
ival-mult: 27.0ms (42.1% of total)ival-add: 13.0ms (20.3% 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)const: 4.0ms (6.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(sin.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
(*.f64 z y) |
#s(approx (+ (* 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)) |
(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 (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z)) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(*.f64 x (cos.f64 y)) |
(*.f64 (*.f64 y y) z) |
(fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
| Outputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(/ 1 (* z (sin y))) |
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(+ (* x (- (/ (* 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)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(* y z) |
(+ x (* y z)) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(+ z (* -1/6 (* (pow y 2) z))) |
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z)))) |
(/ 1 (+ z (* -1/6 (* (pow y 2) z)))) |
(+ (* 1/2 (/ (* x y) (pow (+ z (* -1/6 (* (pow y 2) z))) 2))) (/ 1 (+ z (* -1/6 (* (pow y 2) z))))) |
(+ (* x (- (* 1/4 (/ (* x (pow y 2)) (pow (+ z (* -1/6 (* (pow y 2) z))) 3))) (* -1/2 (/ y (pow (+ z (* -1/6 (* (pow y 2) z))) 2))))) (/ 1 (+ z (* -1/6 (* (pow y 2) z))))) |
(+ (* x (- (* x (- (* 1/8 (/ (* x (pow y 3)) (pow (+ z (* -1/6 (* (pow y 2) z))) 4))) (* -1/4 (/ (pow y 2) (pow (+ z (* -1/6 (* (pow y 2) z))) 3))))) (* -1/2 (/ y (pow (+ z (* -1/6 (* (pow y 2) z))) 2))))) (/ 1 (+ z (* -1/6 (* (pow y 2) z))))) |
(sin y) |
(+ (sin y) (/ (* x (cos y)) z)) |
(* x (cos y)) |
(* -1/6 (* y z)) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(/ 1 (* x (cos y))) |
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(* -1/2 (* x y)) |
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))) |
(/ -2 (* x y)) |
(/ (- (* -4 (/ (+ z (* -1/6 (* (pow y 2) z))) (* x (pow y 2)))) (* 2 (/ 1 y))) x) |
(/ (- (* -8 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 2) (* (pow x 2) (pow y 3)))) (+ (* 4 (/ (+ z (* -1/6 (* (pow y 2) z))) (* x (pow y 2)))) (* 2 (/ 1 y)))) x) |
(/ (- (* -16 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 3) (* (pow x 3) (pow y 4)))) (+ (* 4 (/ (+ z (* -1/6 (* (pow y 2) z))) (* x (pow y 2)))) (+ (* 8 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 2) (* (pow x 2) (pow y 3)))) (* 2 (/ 1 y))))) x) |
(/ (* x (cos y)) z) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(* -1/2 x) |
(* x (- (* -1/6 (/ (* y z) x)) 1/2)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -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))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -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)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) |
(* -1 (/ (+ (* 4 (/ (+ z (* -1/6 (* (pow y 2) z))) (* x (pow y 2)))) (* 2 (/ 1 y))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -8 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 2) (* x (pow y 3)))) (* 4 (/ (+ z (* -1/6 (* (pow y 2) z))) (pow y 2)))) x)) (* 2 (/ 1 y))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 3) (* x (pow y 4)))) (* -8 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 2) (pow y 3)))) x)) (* 4 (/ (+ z (* -1/6 (* (pow y 2) z))) (pow y 2)))) x)) (* 2 (/ 1 y))) x)) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(/ 1 x) |
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x)) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
z |
(+ z (* -1/2 (* x y))) |
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))) |
(* -1/6 (* (pow y 2) z)) |
(/ 1 z) |
(+ (* 1/2 (/ (* x y) (pow z 2))) (/ 1 z)) |
(+ (* y (- (* y (- (* 1/6 (/ 1 z)) (* -1/4 (/ (pow x 2) (pow z 3))))) (* -1/2 (/ x (pow z 2))))) (/ 1 z)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/2 (/ (* x (- (* 1/6 (/ 1 z)) (* -1/4 (/ (pow x 2) (pow z 3))))) z)) (* -1/12 (/ x (pow z 2)))))) (* 1/6 (/ 1 z))) (* -1/4 (/ (pow x 2) (pow z 3))))) (* -1/2 (/ x (pow z 2))))) (/ 1 z)) |
(/ x z) |
(+ y (/ x z)) |
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z)) |
(+ (* -1/2 (/ (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)))))) |
(* (pow y 2) z) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(* y (+ z (/ x y))) |
(* -1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2)))))) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(/ -6 (* (pow y 2) z)) |
(/ (- (* 18 (/ x (* y (pow z 2)))) (* 6 (/ 1 z))) (pow y 2)) |
(/ (- (* -1 (/ (+ (* 36 (/ 1 z)) (* 54 (/ (pow x 2) (pow z 3)))) (pow y 2))) (+ (* -18 (/ x (* y (pow z 2)))) (* 6 (/ 1 z)))) (pow y 2)) |
(/ (- (* -1 (/ (+ (* -108 (/ x (pow z 2))) (* -3 (/ (* x (+ (* 54 (/ (pow x 2) (pow z 3))) (* 36 (/ 1 z)))) z))) (pow y 3))) (+ (* -18 (/ x (* y (pow z 2)))) (+ (* 54 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (+ (* 6 (/ 1 z)) (* 36 (/ 1 (* (pow y 2) z))))))) (pow y 2)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ (cos y) z) |
(* y (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z))) |
(/ (- (* -1 (/ (- (+ (* 54 (/ (pow x 2) (* y (pow z 3)))) (/ 36 (* y z))) (* 18 (/ x (pow z 2)))) y)) (* 6 (/ 1 z))) (pow y 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 3 (/ (* x (+ (* 54 (/ (pow x 2) (pow z 3))) (* 36 (/ 1 z)))) (* y z))) (* 108 (/ 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 2)) |
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) |
(- (* -4 (/ (* z (+ 1 (* -1/6 (pow y 2)))) (* (pow x 2) (pow y 2)))) (* 2 (/ 1 (* x y)))) |
(- (* z (- (* -8 (/ (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)) (* (pow x 3) (pow y 3)))) (* 4 (/ (+ 1 (* -1/6 (pow y 2))) (* (pow x 2) (pow y 2)))))) (* 2 (/ 1 (* x y)))) |
(- (* z (- (* z (- (* -16 (/ (* z (pow (+ 1 (* -1/6 (pow y 2))) 3)) (* (pow x 4) (pow y 4)))) (* 8 (/ (pow (+ 1 (* -1/6 (pow y 2))) 2) (* (pow x 3) (pow y 3)))))) (* 4 (/ (+ 1 (* -1/6 (pow y 2))) (* (pow x 2) (pow y 2)))))) (* 2 (/ 1 (* x y)))) |
(/ (+ (* x (cos y)) (* z (sin y))) z) |
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* 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))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(* z (+ y (/ x z))) |
(* y (* z (+ 1 (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))) |
(/ 1 (* z (+ 1 (* -1/6 (pow y 2))))) |
(/ (+ (* 1/2 (/ (* x y) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/6 (pow y 2))))) z) |
(/ (- (+ (* 1/4 (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 (* -1/6 (pow y 2))) 3)))) (/ 1 (+ 1 (* -1/6 (pow y 2))))) (* -1/2 (/ (* x y) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2))))) z) |
(/ (- (+ (* 1/8 (/ (* (pow x 3) (pow y 3)) (* (pow z 3) (pow (+ 1 (* -1/6 (pow y 2))) 4)))) (/ 1 (+ 1 (* -1/6 (pow y 2))))) (+ (* -1/2 (/ (* x y) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (* -1/4 (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 (* -1/6 (pow y 2))) 3)))))) z) |
(* z (+ (* -1/2 (/ x z)) (* -1/6 y))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z)) |
(* -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))) (/ (* (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 y) (* -1 (/ x z))))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1))) |
(/ -1 (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1 (/ (+ (* -1/2 (/ (* x y) (* z (pow (- (* 1/6 (pow y 2)) 1) 2)))) (/ 1 (- (* 1/6 (pow y 2)) 1))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/4 (/ (* (pow x 2) (pow y 2)) (* z (pow (- (* 1/6 (pow y 2)) 1) 3)))) (* -1/2 (/ (* x y) (pow (- (* 1/6 (pow y 2)) 1) 2)))) z)) (/ 1 (- (* 1/6 (pow y 2)) 1))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1/8 (/ (* (pow x 3) (pow y 3)) (* z (pow (- (* 1/6 (pow y 2)) 1) 4)))) (* -1/4 (/ (* (pow x 2) (pow y 2)) (pow (- (* 1/6 (pow y 2)) 1) 3)))) z)) (* -1/2 (/ (* x y) (pow (- (* 1/6 (pow y 2)) 1) 2)))) z)) (/ 1 (- (* 1/6 (pow y 2)) 1))) z)) |
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | -inf | ((/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (/ 1 (+ (* z (sin y)) (* x (cos y)))) (+ (* z (sin y)) (* x (cos y))) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* 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) z) -1/6) (/ 1 (/ 1 (+ (* (+ (* (* z y) -1/6) (* -1/2 x)) y) z))) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ 1 (/ 1 (+ (* (+ (* (* z y) -1/6) (* -1/2 x)) y) z))) y) x) (/ 1 (+ (* (+ (* (* z y) -1/6) (* -1/2 x)) y) z)) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (sin y) z) (* (cos y) x)) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (* x (cos y)) (* (* y y) z) (+ (* (* z y) -1/6) (* -1/2 x))) |
| 4.0ms | z | @ | inf | ((/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (/ 1 (+ (* z (sin y)) (* x (cos y)))) (+ (* z (sin y)) (* x (cos y))) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* 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) z) -1/6) (/ 1 (/ 1 (+ (* (+ (* (* z y) -1/6) (* -1/2 x)) y) z))) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ 1 (/ 1 (+ (* (+ (* (* z y) -1/6) (* -1/2 x)) y) z))) y) x) (/ 1 (+ (* (+ (* (* z y) -1/6) (* -1/2 x)) y) z)) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (sin y) z) (* (cos y) x)) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (* x (cos y)) (* (* y y) z) (+ (* (* z y) -1/6) (* -1/2 x))) |
| 4.0ms | y | @ | inf | ((/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (/ 1 (+ (* z (sin y)) (* x (cos y)))) (+ (* z (sin y)) (* x (cos y))) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* 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) z) -1/6) (/ 1 (/ 1 (+ (* (+ (* (* z y) -1/6) (* -1/2 x)) y) z))) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ 1 (/ 1 (+ (* (+ (* (* z y) -1/6) (* -1/2 x)) y) z))) y) x) (/ 1 (+ (* (+ (* (* z y) -1/6) (* -1/2 x)) y) z)) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (sin y) z) (* (cos y) x)) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (* x (cos y)) (* (* y y) z) (+ (* (* z y) -1/6) (* -1/2 x))) |
| 4.0ms | y | @ | -inf | ((/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (/ 1 (+ (* z (sin y)) (* x (cos y)))) (+ (* z (sin y)) (* x (cos y))) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* 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) z) -1/6) (/ 1 (/ 1 (+ (* (+ (* (* z y) -1/6) (* -1/2 x)) y) z))) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ 1 (/ 1 (+ (* (+ (* (* z y) -1/6) (* -1/2 x)) y) z))) y) x) (/ 1 (+ (* (+ (* (* z y) -1/6) (* -1/2 x)) y) z)) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (sin y) z) (* (cos y) x)) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (* x (cos y)) (* (* y y) z) (+ (* (* z y) -1/6) (* -1/2 x))) |
| 4.0ms | z | @ | 0 | ((/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (/ 1 (+ (* z (sin y)) (* x (cos y)))) (+ (* z (sin y)) (* x (cos y))) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* 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) z) -1/6) (/ 1 (/ 1 (+ (* (+ (* (* z y) -1/6) (* -1/2 x)) y) z))) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ 1 (/ 1 (+ (* (+ (* (* z y) -1/6) (* -1/2 x)) y) z))) y) x) (/ 1 (+ (* (+ (* (* z y) -1/6) (* -1/2 x)) y) z)) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (sin y) z) (* (cos y) x)) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (* x (cos y)) (* (* y y) z) (+ (* (* z y) -1/6) (* -1/2 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 699 | 3073 |
| 1 | 2285 | 2997 |
| 0 | 8143 | 2792 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(/ 1 (* z (sin y))) |
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(+ (* x (- (/ (* 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)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(* y z) |
(+ x (* y z)) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(+ z (* -1/6 (* (pow y 2) z))) |
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z)))) |
(/ 1 (+ z (* -1/6 (* (pow y 2) z)))) |
(+ (* 1/2 (/ (* x y) (pow (+ z (* -1/6 (* (pow y 2) z))) 2))) (/ 1 (+ z (* -1/6 (* (pow y 2) z))))) |
(+ (* x (- (* 1/4 (/ (* x (pow y 2)) (pow (+ z (* -1/6 (* (pow y 2) z))) 3))) (* -1/2 (/ y (pow (+ z (* -1/6 (* (pow y 2) z))) 2))))) (/ 1 (+ z (* -1/6 (* (pow y 2) z))))) |
(+ (* x (- (* x (- (* 1/8 (/ (* x (pow y 3)) (pow (+ z (* -1/6 (* (pow y 2) z))) 4))) (* -1/4 (/ (pow y 2) (pow (+ z (* -1/6 (* (pow y 2) z))) 3))))) (* -1/2 (/ y (pow (+ z (* -1/6 (* (pow y 2) z))) 2))))) (/ 1 (+ z (* -1/6 (* (pow y 2) z))))) |
(sin y) |
(+ (sin y) (/ (* x (cos y)) z)) |
(* x (cos y)) |
(* -1/6 (* y z)) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(/ 1 (* x (cos y))) |
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(* -1/2 (* x y)) |
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))) |
(/ -2 (* x y)) |
(/ (- (* -4 (/ (+ z (* -1/6 (* (pow y 2) z))) (* x (pow y 2)))) (* 2 (/ 1 y))) x) |
(/ (- (* -8 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 2) (* (pow x 2) (pow y 3)))) (+ (* 4 (/ (+ z (* -1/6 (* (pow y 2) z))) (* x (pow y 2)))) (* 2 (/ 1 y)))) x) |
(/ (- (* -16 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 3) (* (pow x 3) (pow y 4)))) (+ (* 4 (/ (+ z (* -1/6 (* (pow y 2) z))) (* x (pow y 2)))) (+ (* 8 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 2) (* (pow x 2) (pow y 3)))) (* 2 (/ 1 y))))) x) |
(/ (* x (cos y)) z) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(* -1/2 x) |
(* x (- (* -1/6 (/ (* y z) x)) 1/2)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -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))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -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)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) |
(* -1 (/ (+ (* 4 (/ (+ z (* -1/6 (* (pow y 2) z))) (* x (pow y 2)))) (* 2 (/ 1 y))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -8 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 2) (* x (pow y 3)))) (* 4 (/ (+ z (* -1/6 (* (pow y 2) z))) (pow y 2)))) x)) (* 2 (/ 1 y))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 3) (* x (pow y 4)))) (* -8 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 2) (pow y 3)))) x)) (* 4 (/ (+ z (* -1/6 (* (pow y 2) z))) (pow y 2)))) x)) (* 2 (/ 1 y))) x)) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(/ 1 x) |
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x)) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
z |
(+ z (* -1/2 (* x y))) |
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))) |
(* -1/6 (* (pow y 2) z)) |
(/ 1 z) |
(+ (* 1/2 (/ (* x y) (pow z 2))) (/ 1 z)) |
(+ (* y (- (* y (- (* 1/6 (/ 1 z)) (* -1/4 (/ (pow x 2) (pow z 3))))) (* -1/2 (/ x (pow z 2))))) (/ 1 z)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/2 (/ (* x (- (* 1/6 (/ 1 z)) (* -1/4 (/ (pow x 2) (pow z 3))))) z)) (* -1/12 (/ x (pow z 2)))))) (* 1/6 (/ 1 z))) (* -1/4 (/ (pow x 2) (pow z 3))))) (* -1/2 (/ x (pow z 2))))) (/ 1 z)) |
(/ x z) |
(+ y (/ x z)) |
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z)) |
(+ (* -1/2 (/ (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)))))) |
(* (pow y 2) z) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(* y (+ z (/ x y))) |
(* -1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2)))))) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(/ -6 (* (pow y 2) z)) |
(/ (- (* 18 (/ x (* y (pow z 2)))) (* 6 (/ 1 z))) (pow y 2)) |
(/ (- (* -1 (/ (+ (* 36 (/ 1 z)) (* 54 (/ (pow x 2) (pow z 3)))) (pow y 2))) (+ (* -18 (/ x (* y (pow z 2)))) (* 6 (/ 1 z)))) (pow y 2)) |
(/ (- (* -1 (/ (+ (* -108 (/ x (pow z 2))) (* -3 (/ (* x (+ (* 54 (/ (pow x 2) (pow z 3))) (* 36 (/ 1 z)))) z))) (pow y 3))) (+ (* -18 (/ x (* y (pow z 2)))) (+ (* 54 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (+ (* 6 (/ 1 z)) (* 36 (/ 1 (* (pow y 2) z))))))) (pow y 2)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ (cos y) z) |
(* y (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z))) |
(/ (- (* -1 (/ (- (+ (* 54 (/ (pow x 2) (* y (pow z 3)))) (/ 36 (* y z))) (* 18 (/ x (pow z 2)))) y)) (* 6 (/ 1 z))) (pow y 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 3 (/ (* x (+ (* 54 (/ (pow x 2) (pow z 3))) (* 36 (/ 1 z)))) (* y z))) (* 108 (/ 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 2)) |
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) |
(- (* -4 (/ (* z (+ 1 (* -1/6 (pow y 2)))) (* (pow x 2) (pow y 2)))) (* 2 (/ 1 (* x y)))) |
(- (* z (- (* -8 (/ (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)) (* (pow x 3) (pow y 3)))) (* 4 (/ (+ 1 (* -1/6 (pow y 2))) (* (pow x 2) (pow y 2)))))) (* 2 (/ 1 (* x y)))) |
(- (* z (- (* z (- (* -16 (/ (* z (pow (+ 1 (* -1/6 (pow y 2))) 3)) (* (pow x 4) (pow y 4)))) (* 8 (/ (pow (+ 1 (* -1/6 (pow y 2))) 2) (* (pow x 3) (pow y 3)))))) (* 4 (/ (+ 1 (* -1/6 (pow y 2))) (* (pow x 2) (pow y 2)))))) (* 2 (/ 1 (* x y)))) |
(/ (+ (* x (cos y)) (* z (sin y))) z) |
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* 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))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(* z (+ y (/ x z))) |
(* y (* z (+ 1 (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))) |
(/ 1 (* z (+ 1 (* -1/6 (pow y 2))))) |
(/ (+ (* 1/2 (/ (* x y) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/6 (pow y 2))))) z) |
(/ (- (+ (* 1/4 (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 (* -1/6 (pow y 2))) 3)))) (/ 1 (+ 1 (* -1/6 (pow y 2))))) (* -1/2 (/ (* x y) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2))))) z) |
(/ (- (+ (* 1/8 (/ (* (pow x 3) (pow y 3)) (* (pow z 3) (pow (+ 1 (* -1/6 (pow y 2))) 4)))) (/ 1 (+ 1 (* -1/6 (pow y 2))))) (+ (* -1/2 (/ (* x y) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (* -1/4 (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 (* -1/6 (pow y 2))) 3)))))) z) |
(* z (+ (* -1/2 (/ x z)) (* -1/6 y))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z)) |
(* -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))) (/ (* (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 y) (* -1 (/ x z))))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1))) |
(/ -1 (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1 (/ (+ (* -1/2 (/ (* x y) (* z (pow (- (* 1/6 (pow y 2)) 1) 2)))) (/ 1 (- (* 1/6 (pow y 2)) 1))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/4 (/ (* (pow x 2) (pow y 2)) (* z (pow (- (* 1/6 (pow y 2)) 1) 3)))) (* -1/2 (/ (* x y) (pow (- (* 1/6 (pow y 2)) 1) 2)))) z)) (/ 1 (- (* 1/6 (pow y 2)) 1))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1/8 (/ (* (pow x 3) (pow y 3)) (* z (pow (- (* 1/6 (pow y 2)) 1) 4)))) (* -1/4 (/ (* (pow x 2) (pow y 2)) (pow (- (* 1/6 (pow y 2)) 1) 3)))) z)) (* -1/2 (/ (* x y) (pow (- (* 1/6 (pow y 2)) 1) 2)))) z)) (/ 1 (- (* 1/6 (pow y 2)) 1))) z)) |
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z))))) |
| Outputs |
|---|
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(/ 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)))) |
(fma.f64 (neg.f64 (/.f64 x (*.f64 z z))) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(+ (* x (- (/ (* 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 (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 (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))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (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 (fma.f64 (neg.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (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))) |
(* y z) |
(*.f64 y z) |
(+ x (* y z)) |
(fma.f64 y z x) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
(+ z (* -1/6 (* (pow y 2) z))) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) |
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z)))) |
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(/ 1 (+ z (* -1/6 (* (pow y 2) z)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) |
(+ (* 1/2 (/ (* x y) (pow (+ z (* -1/6 (* (pow y 2) z))) 2))) (/ 1 (+ z (* -1/6 (* (pow y 2) z))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y (pow.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z))) |
(+ (* x (- (* 1/4 (/ (* x (pow y 2)) (pow (+ z (* -1/6 (* (pow y 2) z))) 3))) (* -1/2 (/ y (pow (+ z (* -1/6 (* (pow y 2) z))) 2))))) (/ 1 (+ z (* -1/6 (* (pow y 2) z))))) |
(fma.f64 (fma.f64 (/.f64 y (pow.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x y) y) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) #s(literal 3 binary64)))) x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z))) |
(+ (* x (- (* x (- (* 1/8 (/ (* x (pow y 3)) (pow (+ z (* -1/6 (* (pow y 2) z))) 4))) (* -1/4 (/ (pow y 2) (pow (+ z (* -1/6 (* (pow y 2) z))) 3))))) (* -1/2 (/ y (pow (+ z (* -1/6 (* (pow y 2) z))) 2))))) (/ 1 (+ z (* -1/6 (* (pow y 2) z))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (pow.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) #s(literal 3 binary64)))) x (*.f64 (/.f64 y (pow.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) #s(literal 2 binary64))) #s(literal 1/2 binary64))) x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z))) |
(sin y) |
(sin.f64 y) |
(+ (sin y) (/ (* x (cos y)) z)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1/6 (* y z)) |
(*.f64 (*.f64 y z) #s(literal -1/6 binary64)) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(/ 1 (* x (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) |
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/.f64 (+.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 (neg.f64 z) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (fma.f64 (neg.f64 (*.f64 z (/.f64 (/.f64 z x) x))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x)))) x) |
x |
(* x (+ 1 (/ (* y z) x))) |
(fma.f64 (/.f64 (*.f64 y z) 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 (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) x)) x x) |
(* -1/2 (* x y)) |
(*.f64 (*.f64 x y) #s(literal -1/2 binary64)) |
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) #s(literal -1/6 binary64) (/.f64 z x))) x) |
(/ -2 (* x y)) |
(/.f64 #s(literal -2 binary64) (*.f64 x y)) |
(/ (- (* -4 (/ (+ z (* -1/6 (* (pow y 2) z))) (* x (pow y 2)))) (* 2 (/ 1 y))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (*.f64 y y)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) x) (/.f64 #s(literal -2 binary64) y)) x) |
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(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 3 (/ (* x (+ (* 54 (/ (pow x 2) (pow z 3))) (* 36 (/ 1 z)))) (* y z))) (* 108 (/ 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 2)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -18 binary64) (/.f64 x (*.f64 z z)) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 (fma.f64 #s(literal 54 binary64) (*.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 36 binary64) z)) (*.f64 y z)) (-.f64 (*.f64 #s(literal 108 binary64) (/.f64 (/.f64 x (*.f64 z z)) y)) (fma.f64 #s(literal 54 binary64) (*.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 36 binary64) z)))) (neg.f64 y))) y) #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) z)) (*.f64 y y)) |
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z))) |
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))) |
(fma.f64 (/.f64 (neg.f64 z) (*.f64 x x)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) z (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(- (* -4 (/ (* z (+ 1 (* -1/6 (pow y 2)))) (* (pow x 2) (pow y 2)))) (* 2 (/ 1 (* x y)))) |
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (*.f64 y y)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) x) (/.f64 #s(literal -2 binary64) y)) x) |
(- (* z (- (* -8 (/ (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)) (* (pow x 3) (pow y 3)))) (* 4 (/ (+ 1 (* -1/6 (pow y 2))) (* (pow x 2) (pow y 2)))))) (* 2 (/ 1 (* x y)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -4 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x y) y) x))) z (/.f64 #s(literal -2 binary64) (*.f64 x y))) |
(- (* z (- (* z (- (* -16 (/ (* z (pow (+ 1 (* -1/6 (pow y 2))) 3)) (* (pow x 4) (pow y 4)))) (* 8 (/ (pow (+ 1 (* -1/6 (pow y 2))) 2) (* (pow x 3) (pow y 3)))))) (* 4 (/ (+ 1 (* -1/6 (pow y 2))) (* (pow x 2) (pow y 2)))))) (* 2 (/ 1 (* x y)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -16 binary64) (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) z (/.f64 (*.f64 #s(literal -4 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x y) y) x))) z (/.f64 #s(literal -2 binary64) (*.f64 x y))) |
(/ (+ (* x (cos y)) (* z (sin y))) z) |
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) z) |
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z))) z) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) 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 (neg.f64 x) (/.f64 (cos.f64 y) (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))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 (neg.f64 (*.f64 x (/.f64 x (*.f64 z z)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z)))) z) |
(* z (+ y (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* y (* z (+ 1 (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y (/.f64 x z))) #s(literal -1/2 binary64) (+.f64 (/.f64 x z) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))) z) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) |
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) z) |
(/ 1 (* z (+ 1 (* -1/6 (pow y 2))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) |
(/ (+ (* 1/2 (/ (* x y) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/6 (pow y 2))))) z) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 y (/.f64 x z)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/ (- (+ (* 1/4 (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 (* -1/6 (pow y 2))) 3)))) (/ 1 (+ 1 (* -1/6 (pow y 2))))) (* -1/2 (/ (* x y) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2))))) z) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 y (/.f64 x z)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) y) x) z) z) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) z) |
(/ (- (+ (* 1/8 (/ (* (pow x 3) (pow y 3)) (* (pow z 3) (pow (+ 1 (* -1/6 (pow y 2))) 4)))) (/ 1 (+ 1 (* -1/6 (pow y 2))))) (+ (* -1/2 (/ (* x y) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (* -1/4 (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 (* -1/6 (pow y 2))) 3)))))) z) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))) (pow.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 y (/.f64 x z)) (*.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) y) x) z) z))))) 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 (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)))) |
(* -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 (/ (- (* -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 (fma.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 (neg.f64 x) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z) #s(literal -1 binary64) (/.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))) (/ (* (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 (fma.f64 (/.f64 (fma.f64 x (neg.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (fma.f64 (neg.f64 (*.f64 x x)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) z))) (neg.f64 z))) z) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z)) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(*.f64 (-.f64 (/.f64 x (neg.f64 z)) y) (neg.f64 z)) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(*.f64 (*.f64 (neg.f64 y) z) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) (neg.f64 z))) (neg.f64 z)) |
(* -1 (* z (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 z)) |
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1))) |
(*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 z)) |
(/ -1 (* z (- (* 1/6 (pow y 2)) 1))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) |
(* -1 (/ (+ (* -1/2 (/ (* x y) (* z (pow (- (* 1/6 (pow y 2)) 1) 2)))) (/ 1 (- (* 1/6 (pow y 2)) 1))) 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 y (/.f64 x z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/4 (/ (* (pow x 2) (pow y 2)) (* z (pow (- (* 1/6 (pow y 2)) 1) 3)))) (* -1/2 (/ (* x y) (pow (- (* 1/6 (pow y 2)) 1) 2)))) z)) (/ 1 (- (* 1/6 (pow y 2)) 1))) z)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x y) y) x) z))) z)) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1/8 (/ (* (pow x 3) (pow y 3)) (* z (pow (- (* 1/6 (pow y 2)) 1) 4)))) (* -1/4 (/ (* (pow x 2) (pow y 2)) (pow (- (* 1/6 (pow y 2)) 1) 3)))) z)) (* -1/2 (/ (* x y) (pow (- (* 1/6 (pow y 2)) 1) 2)))) z)) (/ 1 (- (* 1/6 (pow y 2)) 1))) z)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 (/.f64 y (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) #s(literal 2 binary64))) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) z)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y (/.f64 y (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) #s(literal 3 binary64)))))) (neg.f64 z))) 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 | 47 | 282 |
| 0 | 76 | 256 |
| 1 | 287 | 256 |
| 2 | 1604 | 256 |
| 0 | 8287 | 254 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(sin.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
(*.f64 z y) |
#s(approx (+ (* 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)) |
(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 (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z)) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(*.f64 x (cos.f64 y)) |
(*.f64 (*.f64 y y) z) |
(fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
| Outputs |
|---|
(*.f64 (/.f64 (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))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (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))))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 y z) #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 -1/216 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y z)) #s(literal -1/2 binary64)) x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 y z) #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 y z))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 y z) #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 -1/216 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y z)) #s(literal -1/2 binary64)) x)))) |
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 y z) #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 y z) #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 y z)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.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 y z))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.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)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.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 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)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) z) y (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (neg.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))))) |
(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 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) (*.f64 y z)))) (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.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 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.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 (*.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 #s(literal 1/36 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x))) (neg.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 -1/6 binary64) (*.f64 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))) |
Compiled 25 861 to 2 766 computations (89.3% saved)
37 alts after pruning (31 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 604 | 16 | 620 |
| Fresh | 7 | 15 | 22 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 612 | 37 | 649 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| 83.4% | (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 50.0% | (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| 50.0% | (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) | |
| ✓ | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
| 39.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 x (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z))) | |
| 56.0% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) | |
| 40.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 37.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (sin y)) (* x (cos y)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 z x) x) (/.f64 #s(literal 1 binary64) x)))) | |
| 68.1% | (+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| 57.9% | (+.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))) | |
| 48.5% | (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) | |
| 57.6% | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)) | |
| ▶ | 91.6% | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
| 45.5% | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (sin.f64 y) z)) | |
| 87.0% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))))) | |
| 52.2% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 3 binary64))) z)))) | |
| ✓ | 87.2% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
| ▶ | 87.2% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) z)) |
| 66.0% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y))) z)) | |
| 64.2% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (pow.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal -1 binary64)))) | |
| 43.6% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z)) | |
| 32.6% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z)) | |
| 38.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (* z y) -1/6) (* -1/2 x)) y) z)) (/.f64 #s(literal -2 binary64) (*.f64 x y)))) 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) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 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)) |
| 38.3% | #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)) | |
| ✓ | 58.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| ▶ | 57.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) 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 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)))) | |
| 38.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)))) | |
| ▶ | 58.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 z y) x)) |
| 38.3% | #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))) | |
| 57.6% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))) | |
| 46.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) | |
| 51.1% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))) | |
| ✓ | 22.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
Compiled 1 705 to 1 161 computations (31.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) z)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) | |
| cost-diff | 704 | (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) z) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z)) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) x)) | |
| cost-diff | 448 | (fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) x) | |
| cost-diff | 960 | (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 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) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) y x)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 z y) x)) | |
| cost-diff | 128 | (+.f64 (*.f64 z y) x) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) | |
| cost-diff | 704 | (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 348 |
| 0 | 83 | 334 |
| 1 | 136 | 331 |
| 2 | 224 | 328 |
| 3 | 510 | 324 |
| 4 | 1223 | 319 |
| 5 | 3623 | 319 |
| 6 | 6400 | 319 |
| 0 | 8063 | 306 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
z |
(cos.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 z y) x)) |
(+.f64 (*.f64 z y) x) |
(*.f64 z y) |
z |
y |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) y x)) |
(fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) y x) |
#s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) |
(*.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
#s(literal -1/6 binary64) |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) x) |
#s(literal -1 binary64) |
(/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) |
y |
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) |
#s(literal -1/6 binary64) |
(*.f64 y z) |
z |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) z)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) z) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) |
#s(literal 1 binary64) |
(/.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
y |
x |
(sin.f64 y) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
z |
(cos.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 z y) x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 y z x)) |
(+.f64 (*.f64 z y) x) |
(fma.f64 y z x) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) y x)) |
(fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) y x) |
#s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) |
(*.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
#s(literal -1/6 binary64) |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) x) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
#s(literal -1 binary64) |
(/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) |
(*.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) |
y |
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z)) |
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) 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)) |
#s(literal -1/6 binary64) |
(*.f64 y z) |
z |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) z)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) z) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) |
(/.f64 (cos.f64 y) z) |
#s(literal 1 binary64) |
(/.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
y |
x |
(sin.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.07421875 | (/.f64 z (cos.f64 y)) | |
| accuracy | 0.09375 | (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) | |
| accuracy | 0.1015625 | (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) | |
| accuracy | 8.134327249010662 | (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) z) | |
| accuracy | 0.1640625 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) | |
| accuracy | 0.16796875 | (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) | |
| accuracy | 0.6604363436471633 | (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z)) | |
| accuracy | 27.001084559902512 | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) x)) | |
| accuracy | 0.0625 | (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) | |
| accuracy | 6.8534857758075844 | (*.f64 (*.f64 y y) z) | |
| accuracy | 15.624075523640194 | #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) | |
| accuracy | 27.001084559902512 | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) y x)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.0078125 | (+.f64 (*.f64 z y) x) | |
| accuracy | 26.38165742913939 | #s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 z y) x)) | |
| accuracy | 0 | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) | |
| accuracy | 0.0859375 | (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) | |
| accuracy | 0.109375 | (/.f64 (sin.f64 y) x) | |
| accuracy | 5.315617438030311 | (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
| 100.0ms | 256× | 0 | valid |
Compiled 621 to 106 computations (82.9% saved)
ival-mult: 32.0ms (42.3% of total)ival-add: 16.0ms (21.2% of total)ival-div: 12.0ms (15.9% of total)ival-sin: 6.0ms (7.9% of total)ival-cos: 5.0ms (6.6% of total)const: 4.0ms (5.3% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
(+.f64 (*.f64 z y) x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 z y) x)) |
(*.f64 z y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) y x)) |
(fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) y x) |
#s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) |
(/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) |
(fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) x)) |
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) z) |
(/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) z)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) |
(*.f64 (*.f64 y y) z) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) |
(/.f64 z (cos.f64 y)) |
| Outputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(/ (* z (sin y)) x) |
(/ (+ (* x (cos y)) (* z (sin y))) x) |
(/ (sin y) x) |
(* y z) |
(+ x (* y z)) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(+ z (* -1/6 (* (pow y 2) z))) |
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z)))) |
(* -1 (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(+ (* -1 (* y (+ z (* -1/6 (* (pow y 2) z))))) (* 1/2 (* x (pow y 2)))) |
(/ -1 (+ z (* -1/6 (* (pow y 2) z)))) |
(- (* -1/2 (/ (* x y) (pow (+ z (* -1/6 (* (pow y 2) z))) 2))) (/ 1 (+ z (* -1/6 (* (pow y 2) z))))) |
(- (* x (- (* -1/4 (/ (* x (pow y 2)) (pow (+ z (* -1/6 (* (pow y 2) z))) 3))) (* 1/2 (/ y (pow (+ z (* -1/6 (* (pow y 2) z))) 2))))) (/ 1 (+ z (* -1/6 (* (pow y 2) z))))) |
(- (* x (- (* x (- (* -1/8 (/ (* x (pow y 3)) (pow (+ z (* -1/6 (* (pow y 2) z))) 4))) (* 1/4 (/ (pow y 2) (pow (+ z (* -1/6 (* (pow y 2) z))) 3))))) (* 1/2 (/ y (pow (+ z (* -1/6 (* (pow y 2) z))) 2))))) (/ 1 (+ z (* -1/6 (* (pow y 2) z))))) |
(sin y) |
(+ (sin y) (/ (* x (cos y)) z)) |
(* -1/6 (* y z)) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(* -1/2 (* x y)) |
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))) |
(* 1/2 (* x (pow y 2))) |
(* x (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2)))) |
(/ 2 (* x y)) |
(/ (+ (* 4 (/ (+ z (* -1/6 (* (pow y 2) z))) (* x (pow y 2)))) (* 2 (/ 1 y))) x) |
(/ (- (+ (* 8 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 2) (* (pow x 2) (pow y 3)))) (* 2 (/ 1 y))) (* -4 (/ (+ z (* -1/6 (* (pow y 2) z))) (* x (pow y 2))))) x) |
(/ (- (+ (* 16 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 3) (* (pow x 3) (pow y 4)))) (* 2 (/ 1 y))) (+ (* -8 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 2) (* (pow x 2) (pow y 3)))) (* -4 (/ (+ z (* -1/6 (* (pow y 2) z))) (* x (pow y 2)))))) x) |
(/ (* x (cos y)) z) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(* -1/2 x) |
(* x (- (* -1/6 (/ (* y z) x)) 1/2)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) |
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(* -1 (/ (- (* -4 (/ (+ z (* -1/6 (* (pow y 2) z))) (* x (pow y 2)))) (* 2 (/ 1 y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 2) (* x (pow y 3)))) (* -4 (/ (+ z (* -1/6 (* (pow y 2) z))) (pow y 2)))) x)) (* 2 (/ 1 y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 3) (* x (pow y 4)))) (* 8 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 2) (pow y 3)))) x)) (* -4 (/ (+ z (* -1/6 (* (pow y 2) z))) (pow y 2)))) x)) (* 2 (/ 1 y))) x)) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
1 |
(+ 1 (/ (* y z) x)) |
(+ 1 (* y (+ (* -1/2 y) (/ z x)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x)))) |
(/ 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))) |
z |
(+ z (* -1/2 (* x y))) |
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (* 1/2 (* x y)))) |
(* y (+ (* -1 z) (* y (+ (* 1/6 (* y z)) (* 1/2 x))))) |
(/ -1 z) |
(- (* -1/2 (/ (* x y) (pow z 2))) (/ 1 z)) |
(- (* y (- (* -1 (* y (+ (* 1/6 (/ 1 z)) (* 1/4 (/ (pow x 2) (pow z 3)))))) (* 1/2 (/ x (pow z 2))))) (/ 1 z)) |
(- (* y (- (* y (- (* -1 (* y (+ (* 1/12 (/ x (pow z 2))) (* 1/2 (/ (* x (+ (* 1/4 (/ (pow x 2) (pow z 3))) (* 1/6 (/ 1 z)))) z))))) (+ (* 1/6 (/ 1 z)) (* 1/4 (/ (pow x 2) (pow z 3)))))) (* 1/2 (/ x (pow z 2))))) (/ 1 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 z) |
(+ y (/ x z)) |
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z)) |
(* (pow y 2) z) |
(+ z (* 1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 z)))) |
(+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 z) (+ (* 1/48 z) (* 1/2 (+ (* -1/4 z) (* 1/24 z))))))) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 z)))) |
(* y (+ z (/ x y))) |
(* -1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2)))))) |
(* -1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2)))) |
(* 1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y)))) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(/ 6 (* (pow y 2) z)) |
(/ (+ (* -18 (/ x (* y (pow z 2)))) (* 6 (/ 1 z))) (pow y 2)) |
(/ (- (+ (* 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 2)) |
(/ (- (+ (* -1 (/ (+ (* 3 (/ (* x (- (* 36 (/ 1 z)) (* -54 (/ (pow x 2) (pow z 3))))) z)) (* 108 (/ 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 2)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ (cos y) z) |
(* y (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(/ z (cos y)) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z))) |
(* -1 (* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z)))) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (* 36 (/ 1 z)) (* -54 (/ (pow x 2) (pow z 3)))) y)) (* -18 (/ x (pow z 2)))) y)) (* 6 (/ 1 z))) (pow y 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ x (* y (pow z 2)))) (+ (* -3 (/ (* x (- (* 36 (/ 1 z)) (* -54 (/ (pow x 2) (pow z 3))))) (* y z))) (* 36 (/ 1 z)))) (* -54 (/ (pow x 2) (pow z 3)))) y)) (* -18 (/ x (pow z 2)))) y)) (* 6 (/ 1 z))) (pow y 2)) |
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(+ (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) (* 1/2 (* x (pow y 2)))) |
(+ (* 4 (/ (* z (+ 1 (* -1/6 (pow y 2)))) (* (pow x 2) (pow y 2)))) (* 2 (/ 1 (* x y)))) |
(+ (* z (- (* 8 (/ (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)) (* (pow x 3) (pow y 3)))) (* -4 (/ (+ 1 (* -1/6 (pow y 2))) (* (pow x 2) (pow y 2)))))) (* 2 (/ 1 (* x y)))) |
(+ (* z (- (* z (- (* 16 (/ (* z (pow (+ 1 (* -1/6 (pow y 2))) 3)) (* (pow x 4) (pow y 4)))) (* -8 (/ (pow (+ 1 (* -1/6 (pow y 2))) 2) (* (pow x 3) (pow y 3)))))) (* -4 (/ (+ 1 (* -1/6 (pow y 2))) (* (pow x 2) (pow y 2)))))) (* 2 (/ 1 (* x y)))) |
(/ (+ (* x (cos y)) (* z (sin y))) z) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ y (/ x z))) |
(* y (* z (+ 1 (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(* z (+ (* -1 (* y (+ 1 (* -1/6 (pow y 2))))) (* 1/2 (/ (* x (pow y 2)) z)))) |
(/ -1 (* z (+ 1 (* -1/6 (pow y 2))))) |
(/ (- (* -1/2 (/ (* x y) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/6 (pow y 2))))) z) |
(/ (- (* -1/4 (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 (* -1/6 (pow y 2))) 3)))) (+ (* 1/2 (/ (* x y) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/6 (pow y 2)))))) z) |
(/ (- (* -1/8 (/ (* (pow x 3) (pow y 3)) (* (pow z 3) (pow (+ 1 (* -1/6 (pow y 2))) 4)))) (+ (* 1/4 (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 (* -1/6 (pow y 2))) 3)))) (+ (* 1/2 (/ (* x y) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))) z) |
(* z (+ (* -1/2 (/ x z)) (* -1/6 y))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1/2 (/ (* x (pow y 2)) z))))) |
(/ 1 (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1 (/ (- (* 1/2 (/ (* x y) (* z (pow (- (* 1/6 (pow y 2)) 1) 2)))) (/ 1 (- (* 1/6 (pow y 2)) 1))) z)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (* (pow x 2) (pow y 2)) (* z (pow (- (* 1/6 (pow y 2)) 1) 3)))) (* 1/2 (/ (* x y) (pow (- (* 1/6 (pow y 2)) 1) 2)))) z)) (/ 1 (- (* 1/6 (pow y 2)) 1))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (* (pow x 3) (pow y 3)) (* z (pow (- (* 1/6 (pow y 2)) 1) 4)))) (* 1/4 (/ (* (pow x 2) (pow y 2)) (pow (- (* 1/6 (pow y 2)) 1) 3)))) z)) (* 1/2 (/ (* x y) (pow (- (* 1/6 (pow y 2)) 1) 2)))) z)) (/ 1 (- (* 1/6 (pow y 2)) 1))) z)) |
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | ((* (+ (* (/ (sin y) x) z) (cos y)) x) (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (+ (* z y) x) (+ (* x (cos y)) (* z (sin 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) (+ (* (* (* y y) z) -1/6) z) (/ y (/ -1 (+ (* (+ (* -1/6 (* y z)) (* -1/2 x)) y) z))) (+ (* -1 (/ y (/ -1 (+ (* (+ (* -1/6 (* y z)) (* -1/2 x)) y) z)))) x) (+ (* x (cos y)) (* z (sin y))) (/ -1 (+ (* (+ (* -1/6 (* y z)) (* -1/2 x)) y) z)) (* (+ (* (/ 1 (/ z (cos y))) x) (sin y)) z) (/ 1 (/ z (cos y))) (+ (* (sin y) z) (* (cos y) x)) (+ (* (/ 1 (/ z (cos y))) x) (sin y)) (* (* y y) z) (+ (* -1/6 (* y z)) (* -1/2 x)) (/ z (cos y))) |
| 5.0ms | z | @ | -inf | ((* (+ (* (/ (sin y) x) z) (cos y)) x) (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (+ (* z y) x) (+ (* x (cos y)) (* z (sin 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) (+ (* (* (* y y) z) -1/6) z) (/ y (/ -1 (+ (* (+ (* -1/6 (* y z)) (* -1/2 x)) y) z))) (+ (* -1 (/ y (/ -1 (+ (* (+ (* -1/6 (* y z)) (* -1/2 x)) y) z)))) x) (+ (* x (cos y)) (* z (sin y))) (/ -1 (+ (* (+ (* -1/6 (* y z)) (* -1/2 x)) y) z)) (* (+ (* (/ 1 (/ z (cos y))) x) (sin y)) z) (/ 1 (/ z (cos y))) (+ (* (sin y) z) (* (cos y) x)) (+ (* (/ 1 (/ z (cos y))) x) (sin y)) (* (* y y) z) (+ (* -1/6 (* y z)) (* -1/2 x)) (/ z (cos y))) |
| 4.0ms | y | @ | inf | ((* (+ (* (/ (sin y) x) z) (cos y)) x) (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (+ (* z y) x) (+ (* x (cos y)) (* z (sin 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) (+ (* (* (* y y) z) -1/6) z) (/ y (/ -1 (+ (* (+ (* -1/6 (* y z)) (* -1/2 x)) y) z))) (+ (* -1 (/ y (/ -1 (+ (* (+ (* -1/6 (* y z)) (* -1/2 x)) y) z)))) x) (+ (* x (cos y)) (* z (sin y))) (/ -1 (+ (* (+ (* -1/6 (* y z)) (* -1/2 x)) y) z)) (* (+ (* (/ 1 (/ z (cos y))) x) (sin y)) z) (/ 1 (/ z (cos y))) (+ (* (sin y) z) (* (cos y) x)) (+ (* (/ 1 (/ z (cos y))) x) (sin y)) (* (* y y) z) (+ (* -1/6 (* y z)) (* -1/2 x)) (/ z (cos y))) |
| 4.0ms | z | @ | inf | ((* (+ (* (/ (sin y) x) z) (cos y)) x) (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (+ (* z y) x) (+ (* x (cos y)) (* z (sin 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) (+ (* (* (* y y) z) -1/6) z) (/ y (/ -1 (+ (* (+ (* -1/6 (* y z)) (* -1/2 x)) y) z))) (+ (* -1 (/ y (/ -1 (+ (* (+ (* -1/6 (* y z)) (* -1/2 x)) y) z)))) x) (+ (* x (cos y)) (* z (sin y))) (/ -1 (+ (* (+ (* -1/6 (* y z)) (* -1/2 x)) y) z)) (* (+ (* (/ 1 (/ z (cos y))) x) (sin y)) z) (/ 1 (/ z (cos y))) (+ (* (sin y) z) (* (cos y) x)) (+ (* (/ 1 (/ z (cos y))) x) (sin y)) (* (* y y) z) (+ (* -1/6 (* y z)) (* -1/2 x)) (/ z (cos y))) |
| 4.0ms | y | @ | -inf | ((* (+ (* (/ (sin y) x) z) (cos y)) x) (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (+ (* z y) x) (+ (* x (cos y)) (* z (sin 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) (+ (* (* (* y y) z) -1/6) z) (/ y (/ -1 (+ (* (+ (* -1/6 (* y z)) (* -1/2 x)) y) z))) (+ (* -1 (/ y (/ -1 (+ (* (+ (* -1/6 (* y z)) (* -1/2 x)) y) z)))) x) (+ (* x (cos y)) (* z (sin y))) (/ -1 (+ (* (+ (* -1/6 (* y z)) (* -1/2 x)) y) z)) (* (+ (* (/ 1 (/ z (cos y))) x) (sin y)) z) (/ 1 (/ z (cos y))) (+ (* (sin y) z) (* (cos y) x)) (+ (* (/ 1 (/ z (cos y))) x) (sin y)) (* (* y y) z) (+ (* -1/6 (* y z)) (* -1/2 x)) (/ z (cos y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 597 | 2705 |
| 1 | 1993 | 2628 |
| 2 | 6924 | 2598 |
| 0 | 8312 | 2394 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(/ (* z (sin y)) x) |
(/ (+ (* x (cos y)) (* z (sin y))) x) |
(/ (sin y) x) |
(* y z) |
(+ x (* y z)) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(+ z (* -1/6 (* (pow y 2) z))) |
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z)))) |
(* -1 (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(+ (* -1 (* y (+ z (* -1/6 (* (pow y 2) z))))) (* 1/2 (* x (pow y 2)))) |
(/ -1 (+ z (* -1/6 (* (pow y 2) z)))) |
(- (* -1/2 (/ (* x y) (pow (+ z (* -1/6 (* (pow y 2) z))) 2))) (/ 1 (+ z (* -1/6 (* (pow y 2) z))))) |
(- (* x (- (* -1/4 (/ (* x (pow y 2)) (pow (+ z (* -1/6 (* (pow y 2) z))) 3))) (* 1/2 (/ y (pow (+ z (* -1/6 (* (pow y 2) z))) 2))))) (/ 1 (+ z (* -1/6 (* (pow y 2) z))))) |
(- (* x (- (* x (- (* -1/8 (/ (* x (pow y 3)) (pow (+ z (* -1/6 (* (pow y 2) z))) 4))) (* 1/4 (/ (pow y 2) (pow (+ z (* -1/6 (* (pow y 2) z))) 3))))) (* 1/2 (/ y (pow (+ z (* -1/6 (* (pow y 2) z))) 2))))) (/ 1 (+ z (* -1/6 (* (pow y 2) z))))) |
(sin y) |
(+ (sin y) (/ (* x (cos y)) z)) |
(* -1/6 (* y z)) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(* -1/2 (* x y)) |
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))) |
(* 1/2 (* x (pow y 2))) |
(* x (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2)))) |
(/ 2 (* x y)) |
(/ (+ (* 4 (/ (+ z (* -1/6 (* (pow y 2) z))) (* x (pow y 2)))) (* 2 (/ 1 y))) x) |
(/ (- (+ (* 8 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 2) (* (pow x 2) (pow y 3)))) (* 2 (/ 1 y))) (* -4 (/ (+ z (* -1/6 (* (pow y 2) z))) (* x (pow y 2))))) x) |
(/ (- (+ (* 16 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 3) (* (pow x 3) (pow y 4)))) (* 2 (/ 1 y))) (+ (* -8 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 2) (* (pow x 2) (pow y 3)))) (* -4 (/ (+ z (* -1/6 (* (pow y 2) z))) (* x (pow y 2)))))) x) |
(/ (* x (cos y)) z) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(* -1/2 x) |
(* x (- (* -1/6 (/ (* y z) x)) 1/2)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) |
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(* -1 (/ (- (* -4 (/ (+ z (* -1/6 (* (pow y 2) z))) (* x (pow y 2)))) (* 2 (/ 1 y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 2) (* x (pow y 3)))) (* -4 (/ (+ z (* -1/6 (* (pow y 2) z))) (pow y 2)))) x)) (* 2 (/ 1 y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 3) (* x (pow y 4)))) (* 8 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 2) (pow y 3)))) x)) (* -4 (/ (+ z (* -1/6 (* (pow y 2) z))) (pow y 2)))) x)) (* 2 (/ 1 y))) x)) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
1 |
(+ 1 (/ (* y z) x)) |
(+ 1 (* y (+ (* -1/2 y) (/ z x)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x)))) |
(/ 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))) |
z |
(+ z (* -1/2 (* x y))) |
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (* 1/2 (* x y)))) |
(* y (+ (* -1 z) (* y (+ (* 1/6 (* y z)) (* 1/2 x))))) |
(/ -1 z) |
(- (* -1/2 (/ (* x y) (pow z 2))) (/ 1 z)) |
(- (* y (- (* -1 (* y (+ (* 1/6 (/ 1 z)) (* 1/4 (/ (pow x 2) (pow z 3)))))) (* 1/2 (/ x (pow z 2))))) (/ 1 z)) |
(- (* y (- (* y (- (* -1 (* y (+ (* 1/12 (/ x (pow z 2))) (* 1/2 (/ (* x (+ (* 1/4 (/ (pow x 2) (pow z 3))) (* 1/6 (/ 1 z)))) z))))) (+ (* 1/6 (/ 1 z)) (* 1/4 (/ (pow x 2) (pow z 3)))))) (* 1/2 (/ x (pow z 2))))) (/ 1 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 z) |
(+ y (/ x z)) |
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z)) |
(* (pow y 2) z) |
(+ z (* 1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 z)))) |
(+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 z) (+ (* 1/48 z) (* 1/2 (+ (* -1/4 z) (* 1/24 z))))))) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 z)))) |
(* y (+ z (/ x y))) |
(* -1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2)))))) |
(* -1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2)))) |
(* 1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y)))) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(/ 6 (* (pow y 2) z)) |
(/ (+ (* -18 (/ x (* y (pow z 2)))) (* 6 (/ 1 z))) (pow y 2)) |
(/ (- (+ (* 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 2)) |
(/ (- (+ (* -1 (/ (+ (* 3 (/ (* x (- (* 36 (/ 1 z)) (* -54 (/ (pow x 2) (pow z 3))))) z)) (* 108 (/ 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 2)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ (cos y) z) |
(* y (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(/ z (cos y)) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z))) |
(* -1 (* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z)))) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (* 36 (/ 1 z)) (* -54 (/ (pow x 2) (pow z 3)))) y)) (* -18 (/ x (pow z 2)))) y)) (* 6 (/ 1 z))) (pow y 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ x (* y (pow z 2)))) (+ (* -3 (/ (* x (- (* 36 (/ 1 z)) (* -54 (/ (pow x 2) (pow z 3))))) (* y z))) (* 36 (/ 1 z)))) (* -54 (/ (pow x 2) (pow z 3)))) y)) (* -18 (/ x (pow z 2)))) y)) (* 6 (/ 1 z))) (pow y 2)) |
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(+ (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) (* 1/2 (* x (pow y 2)))) |
(+ (* 4 (/ (* z (+ 1 (* -1/6 (pow y 2)))) (* (pow x 2) (pow y 2)))) (* 2 (/ 1 (* x y)))) |
(+ (* z (- (* 8 (/ (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)) (* (pow x 3) (pow y 3)))) (* -4 (/ (+ 1 (* -1/6 (pow y 2))) (* (pow x 2) (pow y 2)))))) (* 2 (/ 1 (* x y)))) |
(+ (* z (- (* z (- (* 16 (/ (* z (pow (+ 1 (* -1/6 (pow y 2))) 3)) (* (pow x 4) (pow y 4)))) (* -8 (/ (pow (+ 1 (* -1/6 (pow y 2))) 2) (* (pow x 3) (pow y 3)))))) (* -4 (/ (+ 1 (* -1/6 (pow y 2))) (* (pow x 2) (pow y 2)))))) (* 2 (/ 1 (* x y)))) |
(/ (+ (* x (cos y)) (* z (sin y))) z) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ y (/ x z))) |
(* y (* z (+ 1 (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(* z (+ (* -1 (* y (+ 1 (* -1/6 (pow y 2))))) (* 1/2 (/ (* x (pow y 2)) z)))) |
(/ -1 (* z (+ 1 (* -1/6 (pow y 2))))) |
(/ (- (* -1/2 (/ (* x y) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/6 (pow y 2))))) z) |
(/ (- (* -1/4 (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 (* -1/6 (pow y 2))) 3)))) (+ (* 1/2 (/ (* x y) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/6 (pow y 2)))))) z) |
(/ (- (* -1/8 (/ (* (pow x 3) (pow y 3)) (* (pow z 3) (pow (+ 1 (* -1/6 (pow y 2))) 4)))) (+ (* 1/4 (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 (* -1/6 (pow y 2))) 3)))) (+ (* 1/2 (/ (* x y) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))) z) |
(* z (+ (* -1/2 (/ x z)) (* -1/6 y))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1/2 (/ (* x (pow y 2)) z))))) |
(/ 1 (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1 (/ (- (* 1/2 (/ (* x y) (* z (pow (- (* 1/6 (pow y 2)) 1) 2)))) (/ 1 (- (* 1/6 (pow y 2)) 1))) z)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (* (pow x 2) (pow y 2)) (* z (pow (- (* 1/6 (pow y 2)) 1) 3)))) (* 1/2 (/ (* x y) (pow (- (* 1/6 (pow y 2)) 1) 2)))) z)) (/ 1 (- (* 1/6 (pow y 2)) 1))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (* (pow x 3) (pow y 3)) (* z (pow (- (* 1/6 (pow y 2)) 1) 4)))) (* 1/4 (/ (* (pow x 2) (pow y 2)) (pow (- (* 1/6 (pow y 2)) 1) 3)))) z)) (* 1/2 (/ (* x y) (pow (- (* 1/6 (pow y 2)) 1) 2)))) z)) (/ 1 (- (* 1/6 (pow y 2)) 1))) z)) |
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z))))) |
| Outputs |
|---|
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(/ (+ (* x (cos y)) (* z (sin y))) x) |
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(* y z) |
(*.f64 z y) |
(+ x (* y z)) |
(fma.f64 z y x) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
(+ z (* -1/6 (* (pow y 2) z))) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) |
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z)))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(* -1 (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (neg.f64 z)) |
(+ (* -1 (* y (+ z (* -1/6 (* (pow y 2) z))))) (* 1/2 (* x (pow y 2)))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (neg.f64 z) (*.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64))) |
(/ -1 (+ z (* -1/6 (* (pow y 2) z)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) |
(- (* -1/2 (/ (* x y) (pow (+ z (* -1/6 (* (pow y 2) z))) 2))) (/ 1 (+ z (* -1/6 (* (pow y 2) z))))) |
(fma.f64 (*.f64 (/.f64 y (pow.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) #s(literal 2 binary64))) x) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z))) |
(- (* x (- (* -1/4 (/ (* x (pow y 2)) (pow (+ z (* -1/6 (* (pow y 2) z))) 3))) (* 1/2 (/ y (pow (+ z (* -1/6 (* (pow y 2) z))) 2))))) (/ 1 (+ z (* -1/6 (* (pow y 2) z))))) |
(fma.f64 (fma.f64 (/.f64 y (pow.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x y) y)) (pow.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) #s(literal 3 binary64)))) x (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z))) |
(- (* x (- (* x (- (* -1/8 (/ (* x (pow y 3)) (pow (+ z (* -1/6 (* (pow y 2) z))) 4))) (* 1/4 (/ (pow y 2) (pow (+ z (* -1/6 (* (pow y 2) z))) 3))))) (* 1/2 (/ y (pow (+ z (* -1/6 (* (pow y 2) z))) 2))))) (/ 1 (+ z (* -1/6 (* (pow y 2) z))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (pow.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) #s(literal 3 binary64)))) x (*.f64 (/.f64 y (pow.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) #s(literal 2 binary64))) #s(literal -1/2 binary64))) x (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z))) |
(sin y) |
(sin.f64 y) |
(+ (sin y) (/ (* x (cos y)) z)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(* -1/6 (* y z)) |
(*.f64 (*.f64 z y) #s(literal -1/6 binary64)) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
x |
(* x (+ 1 (/ (* y z) x))) |
(fma.f64 (/.f64 (*.f64 z y) 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 (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) x)) x x) |
(* -1/2 (* x y)) |
(*.f64 (*.f64 x y) #s(literal -1/2 binary64)) |
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (*.f64 y (/.f64 (*.f64 z y) x)) #s(literal -1/6 binary64) (/.f64 z x))) x) |
(* 1/2 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) |
(* x (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (neg.f64 z)) x)) x) |
(/ 2 (* x y)) |
(/.f64 (/.f64 #s(literal 2 binary64) y) x) |
(/ (+ (* 4 (/ (+ z (* -1/6 (* (pow y 2) z))) (* x (pow y 2)))) (* 2 (/ 1 y))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 y y)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) x) (/.f64 #s(literal 2 binary64) y)) x) |
(/ (- (+ (* 8 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 2) (* (pow x 2) (pow y 3)))) (* 2 (/ 1 y))) (* -4 (/ (+ z (* -1/6 (* (pow y 2) z))) (* x (pow y 2))))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) x) (/.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) (*.f64 y y))) x)) x) |
(/ (- (+ (* 16 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 3) (* (pow x 3) (pow y 4)))) (* 2 (/ 1 y))) (+ (* -8 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 2) (* (pow x 2) (pow y 3)))) (* -4 (/ (+ z (* -1/6 (* (pow y 2) z))) (* x (pow y 2)))))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) x) (/.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) (*.f64 y y))) x))) x) |
(/ (* x (cos y)) z) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* x (- (* -1/6 (/ (* y z) x)) 1/2)) |
(*.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 z y) 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 (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) x))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) (neg.f64 x)))) |
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) x))) |
(* -1 (/ (- (* -4 (/ (+ z (* -1/6 (* (pow y 2) z))) (* x (pow y 2)))) (* 2 (/ 1 y))) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (*.f64 y y)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) x) (/.f64 #s(literal -2 binary64) y)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 2) (* x (pow y 3)))) (* -4 (/ (+ z (* -1/6 (* (pow y 2) z))) (pow y 2)))) x)) (* 2 (/ 1 y))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) x) (/.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) (*.f64 y y))) x) (/.f64 #s(literal 2 binary64) y)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 3) (* x (pow y 4)))) (* 8 (/ (pow (+ z (* -1/6 (* (pow y 2) z))) 2) (pow y 3)))) x)) (* -4 (/ (+ z (* -1/6 (* (pow y 2) z))) (pow y 2)))) x)) (* 2 (/ 1 y))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y) y) #s(literal 4 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) #s(literal 3 binary64)) x) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x))) x) (/.f64 #s(literal 2 binary64) y)) x) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x) |
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x) #s(literal 1/2 binary64))) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (* y z) x)) |
(fma.f64 (/.f64 z x) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1/2 y) (/ z x)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) y (/.f64 z x)) y #s(literal 1 binary64)) |
(/ y x) |
(/.f64 y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(+.f64 (/.f64 y x) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/120 binary64) x) y) y (/.f64 #s(literal -1/6 binary64) x)) (pow.f64 y #s(literal 3 binary64)) (/.f64 y x)) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1/120 binary64) x)) y) y (/.f64 #s(literal -1/6 binary64) x)) (pow.f64 y #s(literal 3 binary64)) (/.f64 y x)) |
z |
(+ z (* -1/2 (* x y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) |
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* y (+ (* -1 z) (* 1/2 (* x y)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (neg.f64 z)) y) |
(* y (+ (* -1 z) (* y (+ (* 1/6 (* y z)) (* 1/2 x))))) |
(*.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) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(- (* -1/2 (/ (* x y) (pow z 2))) (/ 1 z)) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) z) (*.f64 y (/.f64 x z)) (/.f64 #s(literal -1 binary64) z)) |
(- (* y (- (* -1 (* y (+ (* 1/6 (/ 1 z)) (* 1/4 (/ (pow x 2) (pow z 3)))))) (* 1/2 (/ x (pow z 2))))) (/ 1 z)) |
(fma.f64 (fma.f64 (neg.f64 y) (fma.f64 (*.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/4 binary64) (/.f64 #s(literal 1/6 binary64) z)) (*.f64 (/.f64 x (*.f64 z z)) #s(literal -1/2 binary64))) y (/.f64 #s(literal -1 binary64) z)) |
(- (* y (- (* y (- (* -1 (* y (+ (* 1/12 (/ x (pow z 2))) (* 1/2 (/ (* x (+ (* 1/4 (/ (pow x 2) (pow z 3))) (* 1/6 (/ 1 z)))) z))))) (+ (* 1/6 (/ 1 z)) (* 1/4 (/ (pow x 2) (pow z 3)))))) (* 1/2 (/ x (pow z 2))))) (/ 1 z)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/6 binary64) z) x)) z) #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 x (*.f64 z z)))) y (fma.f64 (*.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/4 binary64) (/.f64 #s(literal 1/6 binary64) z)))) y (*.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 x z))) y (/.f64 #s(literal -1 binary64) z)) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) |
(fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) z)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) z) y) y (/.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1/24 binary64) z)) y) y (/.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) |
(/ x z) |
(/.f64 x z) |
(+ y (/ x z)) |
(+.f64 (/.f64 x z) y) |
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z)) |
(fma.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (/.f64 x z)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z)) |
(* (pow y 2) z) |
(*.f64 (*.f64 y y) z) |
(+ z (* 1/2 (* (pow y 2) z))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) z z) |
(+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 z)))) |
(fma.f64 (fma.f64 (*.f64 z #s(literal 5/24 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y) z) |
(+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 z) (+ (* 1/48 z) (* 1/2 (+ (* -1/4 z) (* 1/24 z))))))) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 z)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 z #s(literal 7/360 binary64) (*.f64 z #s(literal -5/48 binary64))) (*.f64 #s(literal 5/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y) z) |
(* y (+ z (/ x y))) |
(*.f64 (+.f64 (/.f64 x y) z) y) |
(* -1/6 (* (pow y 3) z)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal -1/6 binary64)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y)))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2)))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (+.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 z (*.f64 y y)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1/6 (* (pow y 2) z)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) z) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) y) y) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y)))) y) y) |
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y))) y) y) |
(* 1/6 (* (pow y 3) z)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal 1/6 binary64)) |
(* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y)))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) y)) (pow.f64 y #s(literal 3 binary64))) |
(/ 6 (* (pow y 2) z)) |
(/.f64 #s(literal 6 binary64) (*.f64 (*.f64 y y) z)) |
(/ (+ (* -18 (/ x (* y (pow z 2)))) (* 6 (/ 1 z))) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 x (*.f64 z z)) y) #s(literal -18 binary64) (/.f64 #s(literal 6 binary64) z)) y) y) |
(/ (- (+ (* 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 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 (*.f64 y y) z)) (/.f64 #s(literal 6 binary64) z)) (fma.f64 (/.f64 #s(literal -54 binary64) (*.f64 y y)) (*.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 18 binary64) (/.f64 (/.f64 x (*.f64 z z)) y)))) (*.f64 y y)) |
(/ (- (+ (* -1 (/ (+ (* 3 (/ (* x (- (* 36 (/ 1 z)) (* -54 (/ (pow x 2) (pow z 3))))) z)) (* 108 (/ 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 2)) |
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 (*.f64 y y) z)) (/.f64 #s(literal 6 binary64) z)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 54 binary64) (*.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 36 binary64) z)) (/.f64 x z)) #s(literal 3 binary64) (*.f64 #s(literal 108 binary64) (/.f64 x (*.f64 z z)))) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal -54 binary64) (*.f64 y y)) (*.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 18 binary64) (/.f64 (/.f64 x (*.f64 z z)) y)))) (*.f64 y y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(* y (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) y) |
(/ z (cos y)) |
(/.f64 z (cos.f64 y)) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(*.f64 (+.f64 (/.f64 x y) z) y) |
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (+.f64 (/.f64 x y) z) y)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y))) (*.f64 y y)) |
(* -1 (* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z)))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (* 36 (/ 1 z)) (* -54 (/ (pow x 2) (pow z 3)))) y)) (* -18 (/ x (pow z 2)))) y)) (* 6 (/ 1 z))) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 6 binary64) z) (/.f64 (fma.f64 #s(literal 18 binary64) (/.f64 x (*.f64 z z)) (/.f64 (fma.f64 #s(literal 54 binary64) (*.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 36 binary64) z)) (neg.f64 y))) y)) (*.f64 y y)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ x (* y (pow z 2)))) (+ (* -3 (/ (* x (- (* 36 (/ 1 z)) (* -54 (/ (pow x 2) (pow z 3))))) (* y z))) (* 36 (/ 1 z)))) (* -54 (/ (pow x 2) (pow z 3)))) y)) (* -18 (/ x (pow z 2)))) y)) (* 6 (/ 1 z))) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 6 binary64) z) (/.f64 (fma.f64 #s(literal 18 binary64) (/.f64 x (*.f64 z z)) (/.f64 (fma.f64 (/.f64 #s(literal -108 binary64) (*.f64 z z)) (/.f64 x y) (fma.f64 (/.f64 #s(literal -3 binary64) y) (*.f64 (fma.f64 #s(literal 54 binary64) (*.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 36 binary64) z)) (/.f64 x z)) (fma.f64 #s(literal 54 binary64) (*.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 36 binary64) z)))) (neg.f64 y))) y)) (*.f64 y y)) |
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) |
(+ (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) (* 1/2 (* x (pow y 2)))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (neg.f64 z) (*.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64))) |
(+ (* 4 (/ (* z (+ 1 (* -1/6 (pow y 2)))) (* (pow x 2) (pow y 2)))) (* 2 (/ 1 (* x y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y) y) (/.f64 (/.f64 #s(literal 2 binary64) y) x)) |
(+ (* z (- (* 8 (/ (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)) (* (pow x 3) (pow y 3)))) (* -4 (/ (+ 1 (* -1/6 (pow y 2))) (* (pow x 2) (pow y 2)))))) (* 2 (/ 1 (* x y)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x y) y) x))) z (/.f64 (/.f64 #s(literal 2 binary64) y) x)) |
(+ (* z (- (* z (- (* 16 (/ (* z (pow (+ 1 (* -1/6 (pow y 2))) 3)) (* (pow x 4) (pow y 4)))) (* -8 (/ (pow (+ 1 (* -1/6 (pow y 2))) 2) (* (pow x 3) (pow y 3)))))) (* -4 (/ (+ 1 (* -1/6 (pow y 2))) (* (pow x 2) (pow y 2)))))) (* 2 (/ 1 (* x y)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 16 binary64) (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) z (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x y) y) x))) z (/.f64 (/.f64 #s(literal 2 binary64) y) x)) |
(/ (+ (* x (cos y)) (* z (sin y))) z) |
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) z) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
(* z (+ y (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* y (* z (+ 1 (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y (/.f64 x z))) #s(literal -1/2 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 x z))) z) |
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) z) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (neg.f64 z)) |
(* z (+ (* -1 (* y (+ 1 (* -1/6 (pow y 2))))) (* 1/2 (/ (* x (pow y 2)) z)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))) z) |
(/ -1 (* z (+ 1 (* -1/6 (pow y 2))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) |
(/ (- (* -1/2 (/ (* x y) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/6 (pow y 2))))) z) |
(/.f64 (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 y (/.f64 x z)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) z) |
(/ (- (* -1/4 (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 (* -1/6 (pow y 2))) 3)))) (+ (* 1/2 (/ (* x y) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/6 (pow y 2)))))) z) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x (/.f64 x (*.f64 z z)))) (*.f64 y (/.f64 y (pow.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (*.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 y (/.f64 x z))))) z) |
(/ (- (* -1/8 (/ (* (pow x 3) (pow y 3)) (* (pow z 3) (pow (+ 1 (* -1/6 (pow y 2))) 4)))) (+ (* 1/4 (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 (* -1/6 (pow y 2))) 3)))) (+ (* 1/2 (/ (* x y) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))) z) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal -1/4 binary64)) (*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) #s(literal 3 binary64)) 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 y (/.f64 x z)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))) z) |
(* z (+ (* -1/2 (/ x z)) (* -1/6 y))) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y))) z) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y)) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) z)) (neg.f64 z)) |
(* -1 (* z (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 z)) |
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1))) |
(*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 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) |
(* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1/2 (/ (* x (pow y 2)) z))))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y (/.f64 x z))) #s(literal -1/2 binary64) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y)))) (neg.f64 z)) |
(/ 1 (* z (- (* 1/6 (pow y 2)) 1))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) z) |
(* -1 (/ (- (* 1/2 (/ (* x y) (* z (pow (- (* 1/6 (pow y 2)) 1) 2)))) (/ 1 (- (* 1/6 (pow y 2)) 1))) 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 y (/.f64 x z)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 z)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (* (pow x 2) (pow y 2)) (* z (pow (- (* 1/6 (pow y 2)) 1) 3)))) (* 1/2 (/ (* x y) (pow (- (* 1/6 (pow y 2)) 1) 2)))) z)) (/ 1 (- (* 1/6 (pow y 2)) 1))) z)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 y (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x y) y) x) z))) z) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) z) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (* (pow x 3) (pow y 3)) (* z (pow (- (* 1/6 (pow y 2)) 1) 4)))) (* 1/4 (/ (* (pow x 2) (pow y 2)) (pow (- (* 1/6 (pow y 2)) 1) 3)))) z)) (* 1/2 (/ (* x y) (pow (- (* 1/6 (pow y 2)) 1) 2)))) z)) (/ 1 (- (* 1/6 (pow y 2)) 1))) z)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (/.f64 y (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) #s(literal 2 binary64))) x) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) z)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 y (/.f64 y (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) #s(literal 3 binary64)))))) (neg.f64 z))) z) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) 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 | 52 | 300 |
| 0 | 83 | 290 |
| 1 | 340 | 277 |
| 2 | 2089 | 277 |
| 0 | 8299 | 270 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
(+.f64 (*.f64 z y) x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 z y) x)) |
(*.f64 z y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) y x)) |
(fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) y x) |
#s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) |
(/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) |
(fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) x)) |
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) z) |
(/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) z)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) |
(*.f64 (*.f64 y y) z) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) |
(/.f64 z (cos.f64 y)) |
| Outputs |
|---|
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) (*.f64 (cos.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 (cos.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x)) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x)) (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y)))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x)) |
(fma.f64 (cos.f64 y) x (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))) |
(fma.f64 x (*.f64 z (/.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) x)) |
(fma.f64 x (cos.f64 y) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x)) |
(fma.f64 x (cos.f64 y) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))) |
(+.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) |
(*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #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 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y)))) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y)))) (*.f64 (/.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y)))) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #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 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #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 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))))) |
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) x) (cos.f64 y)) |
(fma.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z x) (cos.f64 y)) |
(fma.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 z x) (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 z x) (/.f64 (sin.f64 y) #s(literal 1 binary64)) (cos.f64 y)) |
(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (cos.f64 y)) |
(fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) |
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(fma.f64 (/.f64 (sin.f64 y) x) (/.f64 z #s(literal 1 binary64)) (cos.f64 y)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) |
(fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))) (/.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))))) |
(+.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) |
(+.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) |
(*.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 y)) |
(*.f64 (neg.f64 (sin.f64 y)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 y) x) #s(literal 1 binary64)) |
(*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (sin.f64 y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) |
(/.f64 (sin.f64 y) x) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) x)) |
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (sin.f64 y) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 y))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 z y (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 z y (neg.f64 x)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
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(pow.f64 (/.f64 (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)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.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))))) (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)))) #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 (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))) #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 (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 (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 (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 -1/2 binary64) x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (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)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))))) (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 -1/216 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #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 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)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))) (*.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 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (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)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 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 -1/216 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #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 -1/216 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #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)) (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 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #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 -1/216 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) 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 #s(literal -1 binary64) (neg.f64 (/.f64 (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)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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))))) (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (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)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.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))))) (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))))) |
(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 z (*.f64 #s(literal -1/6 binary64) y) (*.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 y (*.f64 #s(literal -1/6 binary64) z) (*.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 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 (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 z y))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z y)) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (cos.f64 y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) z) |
(*.f64 (neg.f64 z) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 z (cos.f64 y)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 z (cos.f64 y))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) (cos.f64 y))) |
(*.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) |
(*.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 z (pow.f64 (cos.f64 y) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (cos.f64 y) z) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (cos.f64 y) z) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z (cos.f64 y)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (cos.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 y))))) |
(/.f64 (*.f64 z #s(literal 1 binary64)) (cos.f64 y)) |
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 (cos.f64 y)))) |
(/.f64 (neg.f64 z) (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)))) |
(/.f64 (neg.f64 z) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 y)))) |
(/.f64 (neg.f64 z) (neg.f64 (cos.f64 y))) |
(/.f64 (/.f64 (neg.f64 z) (cos.f64 y)) #s(literal -1 binary64)) |
(/.f64 (/.f64 z (cos.f64 y)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 y) z) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 y) z))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 y) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) z)) |
(/.f64 z (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(/.f64 z (cos.f64 y)) |
(neg.f64 (/.f64 (neg.f64 z) (cos.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 y)))) (/.f64 z (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (/.f64 (neg.f64 z) (cos.f64 y))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z (cos.f64 y)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 z (cos.f64 y))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 z (cos.f64 y))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 y) z)) #s(literal -1 binary64))) |
Compiled 25 264 to 2 998 computations (88.1% saved)
38 alts after pruning (31 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 591 | 12 | 603 |
| Fresh | 7 | 19 | 26 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 5 | 6 |
| Total | 602 | 38 | 640 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| 83.4% | (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 50.0% | (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) | |
| 39.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 x (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z))) | |
| 56.0% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) | |
| 40.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 37.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (sin y)) (* x (cos y)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 z x) x) (/.f64 #s(literal 1 binary64) x)))) | |
| 57.9% | (+.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))) | |
| 57.6% | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)) | |
| 67.1% | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))) | |
| 91.6% | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) z (cos.f64 y)) x)) | |
| 91.6% | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x)) | |
| 85.2% | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x)) | |
| 45.5% | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (sin.f64 y) z)) | |
| 51.1% | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) | |
| 56.1% | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x)) | |
| 40.4% | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) | |
| 87.0% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))))) | |
| 52.2% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 3 binary64))) z)))) | |
| ✓ | 87.2% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
| ✓ | 87.2% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) z)) |
| 75.4% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 #s(approx (/ 1 (/ z (cos y))) (/.f64 #s(literal 1 binary64) z)) x (sin.f64 y)) z)) | |
| 65.9% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (fma.f64 (/.f64 x z) (cos.f64 y) (neg.f64 (sin.f64 y)))) z)) | |
| 64.2% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (pow.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal -1 binary64)))) | |
| 32.6% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z)) | |
| 38.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (* z y) -1/6) (* -1/2 x)) y) z)) (/.f64 #s(literal -2 binary64) (*.f64 x y)))) 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) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 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 (*.f64 #s(literal -1/6 binary64) y) y) z)) y x)) | |
| 38.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) | |
| ✓ | 58.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| 57.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (+ (* -1/6 (* y z)) (* -1/2 x)) (*.f64 #s(literal -1/2 binary64) x)) y z))) x)) | |
| 38.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y #s(approx (/ -1 (+ (* (+ (* -1/6 (* y z)) (* -1/2 x)) y) z)) (/.f64 (/.f64 #s(literal 2 binary64) y) x))) 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 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)))) | |
| 38.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)))) | |
| 38.3% | #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))) | |
| 46.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) | |
| ✓ | 22.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
Compiled 2 688 to 1 038 computations (61.4% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.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))) (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 (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) 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))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) y x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (* z y) -1/6) (* -1/2 x)) y) z)) (/.f64 #s(literal -2 binary64) (*.f64 x y)))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y #s(approx (/ -1 (+ (* (+ (* -1/6 (* y z)) (* -1/2 x)) y) z)) (/.f64 (/.f64 #s(literal 2 binary64) y) x))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (+ (* -1/6 (* y z)) (* -1/2 x)) (*.f64 #s(literal -1/2 binary64) x)) y z))) 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) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) 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 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (sin y)) (* x (cos y)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 z x) x) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (sin.f64 y) z)) |
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 #s(approx (/ 1 (/ z (cos y))) (/.f64 #s(literal 1 binary64) z)) x (sin.f64 y)) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) z (cos.f64 y)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))))) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x)) |
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 x (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y))) z)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (fma.f64 (/.f64 x z) (cos.f64 y) (neg.f64 (sin.f64 y)))) z)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (pow.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal -1 binary64)))) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (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))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 3 binary64))) z)))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
4 calls:
| 19.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 19.0ms | x |
| 19.0ms | z |
| 19.0ms | y |
| 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 (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.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))) (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 (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) 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))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) y x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (* z y) -1/6) (* -1/2 x)) y) z)) (/.f64 #s(literal -2 binary64) (*.f64 x y)))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y #s(approx (/ -1 (+ (* (+ (* -1/6 (* y z)) (* -1/2 x)) y) z)) (/.f64 (/.f64 #s(literal 2 binary64) y) x))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (+ (* -1/6 (* y z)) (* -1/2 x)) (*.f64 #s(literal -1/2 binary64) x)) y z))) 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) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) 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 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (sin y)) (* x (cos y)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 z x) x) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (sin.f64 y) z)) |
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 #s(approx (/ 1 (/ z (cos y))) (/.f64 #s(literal 1 binary64) z)) x (sin.f64 y)) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
4 calls:
| 12.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 12.0ms | x |
| 12.0ms | y |
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 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 (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.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))) (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 (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) 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))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) y x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (* z y) -1/6) (* -1/2 x)) y) z)) (/.f64 #s(literal -2 binary64) (*.f64 x y)))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y #s(approx (/ -1 (+ (* (+ (* -1/6 (* y z)) (* -1/2 x)) y) z)) (/.f64 (/.f64 #s(literal 2 binary64) y) x))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (+ (* -1/6 (* y z)) (* -1/2 x)) (*.f64 #s(literal -1/2 binary64) x)) y z))) 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) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) 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 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (sin y)) (* x (cos y)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 z x) x) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (sin.f64 y) z)) |
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x)) |
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
1 calls:
| 11.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.9% | 3 | z |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.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))) (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 (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) 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))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) y x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (* z y) -1/6) (* -1/2 x)) y) z)) (/.f64 #s(literal -2 binary64) (*.f64 x y)))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y #s(approx (/ -1 (+ (* (+ (* -1/6 (* y z)) (* -1/2 x)) y) z)) (/.f64 (/.f64 #s(literal 2 binary64) y) x))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (+ (* -1/6 (* y z)) (* -1/2 x)) (*.f64 #s(literal -1/2 binary64) x)) y z))) 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) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) 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 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (sin y)) (* x (cos y)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 z x) x) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (sin.f64 y) z)) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
4 calls:
| 11.0ms | x |
| 11.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 11.0ms | y |
| 11.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.2% | 4 | y |
| 64.6% | 4 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 75.4% | 3 | x |
| 80.5% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.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))) (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 (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) 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))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) y x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (* z y) -1/6) (* -1/2 x)) y) z)) (/.f64 #s(literal -2 binary64) (*.f64 x y)))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y #s(approx (/ -1 (+ (* (+ (* -1/6 (* y z)) (* -1/2 x)) y) z)) (/.f64 (/.f64 #s(literal 2 binary64) y) x))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (+ (* -1/6 (* y z)) (* -1/2 x)) (*.f64 #s(literal -1/2 binary64) x)) y z))) 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) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) 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 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (sin y)) (* x (cos y)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 z x) x) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z)) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
1 calls:
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.4% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.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))) (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 (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) 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))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) y x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (* z y) -1/6) (* -1/2 x)) y) z)) (/.f64 #s(literal -2 binary64) (*.f64 x y)))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y #s(approx (/ -1 (+ (* (+ (* -1/6 (* y z)) (* -1/2 x)) y) z)) (/.f64 (/.f64 #s(literal 2 binary64) y) x))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (+ (* -1/6 (* y z)) (* -1/2 x)) (*.f64 #s(literal -1/2 binary64) x)) y z))) 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) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) 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 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (sin y)) (* x (cos y)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 z x) x) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
4 calls:
| 10.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 10.0ms | z |
| 10.0ms | y |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.8% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 58.8% | 1 | x |
| 58.8% | 1 | z |
| 58.8% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
4 calls:
| 2.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.8% | 3 | y |
| 40.4% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 46.7% | 3 | x |
| 48.8% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
4 calls:
| 2.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 22.0% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 22.0% | 1 | y |
| 22.0% | 1 | x |
| 22.0% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 6.889123833955114e-23 | 2.010022457863616e-18 |
| 13.0ms | -1.2107386230107502e-61 | -2.8756070031092417e-62 |
| 20.0ms | 224× | 0 | valid |
Compiled 552 to 428 computations (22.5% saved)
ival-cos: 5.0ms (36.6% of total)ival-sin: 4.0ms (29.2% of total)ival-mult: 3.0ms (21.9% of total)ival-add: 1.0ms (7.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.889123833955114e-23 | 2.010022457863616e-18 |
| 1.0ms | -1.2107386230107502e-61 | -2.8756070031092417e-62 |
Compiled 544 to 420 computations (22.8% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.0009370032138680851 | 354225.9759940963 |
| 16.0ms | -0.0010204134044549623 | -9.246546906620775e-10 |
| 19.0ms | -1.9408882917852085e+260 | -3.460530509381184e+258 |
| 35.0ms | 400× | 0 | valid |
Compiled 900 to 699 computations (22.3% saved)
ival-cos: 8.0ms (34.3% of total)ival-sin: 7.0ms (30% of total)ival-mult: 6.0ms (25.7% of total)ival-add: 2.0ms (8.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0009370032138680851 | 354225.9759940963 |
| 1.0ms | -0.0010204134044549623 | -9.246546906620775e-10 |
Compiled 606 to 482 computations (20.5% saved)
| 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 |
| 18.0ms | 208× | 0 | valid |
Compiled 610 to 443 computations (27.4% saved)
ival-cos: 4.0ms (31.5% of total)ival-sin: 4.0ms (31.5% of total)ival-mult: 3.0ms (23.6% of total)ival-add: 1.0ms (7.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 369 |
| 1 | 79 | 369 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(if (<=.f64 z #s(literal -6715941175764339/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 7975367974709495/664613997892457936451903530140172288 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x)) (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -6715941175764339/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 7975367974709495/664613997892457936451903530140172288 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(if (<=.f64 y #s(literal -10500000000000000276332342354196570635870997923306752069868583855088929438087738574037456313920238088337967146450988475131073344874607519443896434846237315503412461475846444213702471432306322987456957011312101748828758323207676164022106394862526449466468204544 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 3458764513820541/288230376151711744 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))))) |
(if (<=.f64 y #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 3458764513820541/288230376151711744 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(if (<=.f64 z #s(literal -2200000000000000000 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) (if (<=.f64 z #s(literal 24000000000000000993731756729710771272402496112736719741470676818334523255868684352709734673585154299486950873915355252098651988481357561826804221607936 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) |
(if (<=.f64 z #s(literal -6715941175764339/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 7975367974709495/664613997892457936451903530140172288 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x)) (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -6715941175764339/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 7975367974709495/664613997892457936451903530140172288 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x)) (+.f64 (*.f64 z (sin.f64 y)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(if (<=.f64 z #s(literal -6715941175764339/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 7975367974709495/664613997892457936451903530140172288 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(if (<=.f64 y #s(literal -10500000000000000276332342354196570635870997923306752069868583855088929438087738574037456313920238088337967146450988475131073344874607519443896434846237315503412461475846444213702471432306322987456957011312101748828758323207676164022106394862526449466468204544 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 3458764513820541/288230376151711744 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))))) |
(if (<=.f64 y #s(literal -10500000000000000276332342354196570635870997923306752069868583855088929438087738574037456313920238088337967146450988475131073344874607519443896434846237315503412461475846444213702471432306322987456957011312101748828758323207676164022106394862526449466468204544 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 3458764513820541/288230376151711744 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))) |
(if (<=.f64 y #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 3458764513820541/288230376151711744 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)))) |
(if (<=.f64 y #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 3458764513820541/288230376151711744 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(if (<=.f64 z #s(literal -2200000000000000000 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) (if (<=.f64 z #s(literal 24000000000000000993731756729710771272402496112736719741470676818334523255868684352709734673585154299486950873915355252098651988481357561826804221607936 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 427 | 1739 |
| 1 | 1434 | 1667 |
| 2 | 4961 | 1639 |
| 0 | 8621 | 1534 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 29 | 19 |
| 2 | 185 | 19 |
| 3 | 1836 | 19 |
| 0 | 8386 | 18 |
| 0 | 93 | 240 |
| 1 | 295 | 236 |
| 2 | 891 | 230 |
| 3 | 2075 | 224 |
| 4 | 3736 | 224 |
| 5 | 6393 | 224 |
| 0 | 8811 | 195 |
| 0 | 699 | 3073 |
| 1 | 2285 | 2997 |
| 0 | 8143 | 2792 |
| 0 | 30 | 138 |
| 0 | 50 | 132 |
| 1 | 179 | 132 |
| 2 | 1164 | 132 |
| 0 | 8253 | 131 |
| 0 | 597 | 2705 |
| 1 | 1993 | 2628 |
| 2 | 6924 | 2598 |
| 0 | 8312 | 2394 |
| 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× | iter limit |
| 1× | node limit |
Compiled 841 to 347 computations (58.7% saved)
Compiled 756 to 150 computations (80.2% saved)
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