
Time bar (total: 7.7s)
| 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)
| 1.3s | 8 256× | 0 | valid |
ival-cos: 525.0ms (49.7% of total)ival-sin: 336.0ms (31.8% of total)ival-mult: 139.0ms (13.2% of total)ival-add: 47.0ms (4.5% of total)ival-true: 6.0ms (0.6% of total)ival-assert: 3.0ms (0.3% 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 |
| 62.0ms | 512× | 0 | valid |
Compiled 109 to 44 computations (59.6% saved)
ival-sin: 16.0ms (42.7% of total)ival-cos: 11.0ms (29.3% of total)ival-mult: 7.0ms (18.7% of total)ival-add: 2.0ms (5.3% 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 | 0.0078125 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.1015625 | (*.f64 x (cos.f64 y)) | |
| accuracy | 0.1328125 | (*.f64 z (sin.f64 y)) |
| 27.0ms | 256× | 0 | valid |
Compiled 50 to 18 computations (64% saved)
ival-cos: 6.0ms (33.4% of total)ival-mult: 6.0ms (33.4% of total)ival-sin: 5.0ms (27.8% of total)ival-add: 1.0ms (5.6% 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 | |
|---|---|---|---|---|
| 7.0ms | y | @ | 0 | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 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× | 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)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 177 | 17 | 194 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 178 | 17 | 195 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 57.0% | (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x 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))))) |
| 85.4% | (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))))) | |
| 57.1% | (fma.f64 (*.f64 (*.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (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))))) | |
| 57.0% | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #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))))) | |
| ▶ | 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) | |
| 33.1% | (/.f64 (pow.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))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #s(literal -1 binary64))) | |
| 56.6% | (/.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))) | |
| ▶ | 57.2% | (/.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))) | |
| 68.5% | (+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| ▶ | 75.1% | (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 26.0% | (*.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)))) | |
| 53.0% | #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)) | |
| 52.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) | |
| ▶ | 53.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| 37.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
Compiled 822 to 466 computations (43.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) | |
| cost-diff | 128 | (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)))) | |
| cost-diff | 41920 | (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x 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))))) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) z) | |
| cost-diff | 0 | (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) | |
| cost-diff | 27392 | (/.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))) | |
| 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 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 | 34 | 265 |
| 0 | 60 | 222 |
| 1 | 104 | 222 |
| 2 | 190 | 221 |
| 3 | 549 | 221 |
| 4 | 1636 | 221 |
| 5 | 4419 | 221 |
| 6 | 6260 | 221 |
| 0 | 8032 | 220 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
y |
z |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(fma.f64 z y x) |
z |
y |
x |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(/.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 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x 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))))) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
(/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) |
(*.f64 x x) |
x |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(neg.f64 z) |
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 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
| 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 |
(+.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 (-.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))) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(-.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 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
y |
z |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) |
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x 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))))) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
(/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) |
(/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(*.f64 x x) |
x |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(neg.f64 z) |
z |
(sin.f64 y) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(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 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(/.f64 (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 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.23046875 | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) | |
| accuracy | 0.25294877930532605 | (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) | |
| accuracy | 11.059905630073501 | (/.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))) | |
| accuracy | 21.990293644144987 | (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) | |
| accuracy | 0.1328125 | (*.f64 (sin.f64 y) z) | |
| accuracy | 0.25294877930532605 | (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) | |
| accuracy | 1.6015542433208234 | (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) | |
| accuracy | 27.373308822486514 | (/.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))) | |
| accuracy | 0.0078125 | (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.1015625 | (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| accuracy | 0.1328125 | (*.f64 z (sin.f64 y)) | |
| accuracy | 27.489713228020282 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0 | (fma.f64 z y x) | |
| accuracy | 29.495078538633734 | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.04296875 | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) | |
| accuracy | 0.1015625 | (*.f64 (cos.f64 y) x) |
| 73.0ms | 256× | 0 | valid |
Compiled 530 to 66 computations (87.5% saved)
ival-mult: 19.0ms (36.9% of total)ival-pow2: 7.0ms (13.6% of total)ival-sin: 6.0ms (11.7% of total)ival-add: 5.0ms (9.7% of total)ival-cos: 5.0ms (9.7% of total)ival-div: 4.0ms (7.8% of total)ival-sub: 2.0ms (3.9% of total)ival-neg: 2.0ms (3.9% 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) |
(+.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 (-.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 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x 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))))) |
(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)))) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(/.f64 (*.f64 x x) (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))) |
| Outputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* y z) |
(+ x (* y z)) |
(* (pow z 2) (pow (sin y) 2)) |
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2))) |
(- (* x (cos y)) (* -1 (* z (sin y)))) |
(- (* x (+ (cos y) (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))) (* -1 (* z (sin y)))) |
(- (* x (+ (cos y) (/ (* x (pow (cos y) 2)) (* z (sin y))))) (* -1 (* z (sin y)))) |
(- (* x (+ (cos y) (* x (+ (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* z (sin y))))))) (* -1 (* z (sin y)))) |
(* -1 (/ (pow x 2) (* z (sin y)))) |
(* (pow x 2) (- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))) |
(* (pow x 2) (- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))) |
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))) |
(* -1 (* z (sin y))) |
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y)))) |
(+ (* -1 (* z (sin y))) (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* z (sin y)))) (cos y)))) |
(+ (* -1 (* z (sin y))) (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* z (sin y))))) (cos y)))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* -1 (* (pow x 2) (pow (cos y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (* -1 (/ (* z (sin y)) x)))) |
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) |
(/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3))))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x) |
(/ x (cos y)) |
(* x (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2))))) |
(* x (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))))) |
(* x (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))))) |
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))) |
(/ (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x) |
(/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))))) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x))))) |
(* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3)) (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) |
(* -1 (* x (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))))) |
(* -1 (* x (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))))) |
(* -1 (* 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)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))))) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2)))) x))) 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))) |
(* 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))))))) |
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z)))) |
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z)))) |
(* -1 (pow x 2)) |
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2))) |
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z)))) |
(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (* -1 (/ (pow z 3) (pow x 2))) (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z)))) |
(* -1 (/ (* (pow y 2) (pow z 2)) x)) |
(* (pow y 2) (- (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x))) |
(* (pow y 2) (- (* y (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (- (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))) (* -1/3 (/ (pow z 2) x)))))) (/ (pow z 2) x))) |
(* (pow y 2) (- (* y (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (- (+ (* -1 (/ (pow z 4) (pow x 3))) (+ (* -1/2 (/ (pow z 2) x)) (* y (+ (* -1 (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)) (+ (* -1/2 (/ (pow z 3) (pow x 2))) (* 1/6 (/ (pow z 3) (pow x 2)))))))) (* -1/3 (/ (pow z 2) x)))))) (/ (pow z 2) x))) |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(+ x (* y (- (* -1 (* y (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z)))) |
(+ x (* y (- (* y (- (* -1 (* y (+ (* -1/2 z) (+ (* 1/6 z) (/ (* z (+ (* -1 (/ (pow z 2) x)) (* -1/2 x))) x))))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z)))) |
(/ (* (pow y 2) (pow z 2)) x) |
(* (pow y 2) (+ (/ (* y (pow z 3)) (pow x 2)) (/ (pow z 2) x))) |
(* (pow y 2) (+ (* y (- (* y (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x))) |
(* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)) (+ (* -1/2 (/ (pow z 3) (pow x 2))) (* 1/6 (/ (pow z 3) (pow x 2))))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x))) |
(sin y) |
(cos y) |
(* y (+ z (/ x y))) |
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y)))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y))))) |
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y))))) |
(pow (cos y) 2) |
(/ (pow x 2) (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(* (pow z 2) (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* x (cos y))))) |
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y))))) |
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))) (* z (+ (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))))) (/ (pow (sin y) 2) (* x (cos y))))) |
(+ (/ x (cos y)) (/ (* z (sin y)) (pow (cos y) 2))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (sin y) (pow (cos y) 2))))) (/ x (cos y))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* x (pow (cos y) 3)))))) (* -1 (/ (sin y) (pow (cos y) 2))))) (/ x (cos y))) |
(* (pow z 2) (+ (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2))) (/ (pow (sin y) 2) (* x (cos y))))) |
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y))))) |
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y))))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ y (/ x z))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2))) |
(* z (- (/ (* x (cos y)) z) (* -1 (sin y)))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (* -1 (sin y)))) |
(* z (- (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (* -1 (sin y)))) |
(* z (- (+ (/ (* x (cos y)) z) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))) (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (* -1 (sin y)))) |
(/ (+ (* -1 (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (pow x 2) (sin y)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (* -1 (/ (pow x 2) (sin y)))) (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 5) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (* -1 (/ (pow x 2) (sin y)))) (+ (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 4) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) z) |
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))) |
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (/ (* x (cos y)) z))) |
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y)))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (sin y)))) |
(* -1 (* z (- (* -1 (/ (+ (* x (cos y)) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) z)) (sin y)))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))))) z)) (* x (cos y))) z)) (sin y)))) |
(* -1 (/ (+ (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2))) (/ (pow x 2) (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* (pow x 3) (cos y)) (pow (sin y) 2))) z)) (/ (pow x 2) (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 5) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* (pow x 3) (cos y)) (pow (sin y) 2))) z)) (/ (pow x 2) (sin y))) z)) |
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z)))) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* x (cos y))) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* x (cos y))) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | 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))) (* x (cos y)) (cos y) (* z (sin y)) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (* (sin y) z) (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x))) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) |
| 13.0ms | 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))) (* x (cos y)) (cos y) (* z (sin y)) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (* (sin y) z) (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x))) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) |
| 7.0ms | y | @ | 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))) (* x (cos y)) (cos y) (* z (sin y)) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (* (sin y) z) (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x))) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) |
| 5.0ms | 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))) (* x (cos y)) (cos y) (* z (sin y)) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (* (sin y) z) (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x))) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) |
| 5.0ms | 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))) (* x (cos y)) (cos y) (* z (sin y)) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (* (sin y) z) (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x))) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 708 | 3613 |
| 1 | 2454 | 3401 |
| 0 | 8553 | 3229 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* y z) |
(+ x (* y z)) |
(* (pow z 2) (pow (sin y) 2)) |
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2))) |
(- (* x (cos y)) (* -1 (* z (sin y)))) |
(- (* x (+ (cos y) (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))) (* -1 (* z (sin y)))) |
(- (* x (+ (cos y) (/ (* x (pow (cos y) 2)) (* z (sin y))))) (* -1 (* z (sin y)))) |
(- (* x (+ (cos y) (* x (+ (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* z (sin y))))))) (* -1 (* z (sin y)))) |
(* -1 (/ (pow x 2) (* z (sin y)))) |
(* (pow x 2) (- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))) |
(* (pow x 2) (- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))) |
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))) |
(* -1 (* z (sin y))) |
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y)))) |
(+ (* -1 (* z (sin y))) (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* z (sin y)))) (cos y)))) |
(+ (* -1 (* z (sin y))) (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* z (sin y))))) (cos y)))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* -1 (* (pow x 2) (pow (cos y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (* -1 (/ (* z (sin y)) x)))) |
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) |
(/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3))))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x) |
(/ x (cos y)) |
(* x (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2))))) |
(* x (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))))) |
(* x (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))))) |
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))) |
(/ (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x) |
(/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))))) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x))))) |
(* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3)) (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) |
(* -1 (* x (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))))) |
(* -1 (* x (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))))) |
(* -1 (* 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)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))))) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2)))) x))) 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))) |
(* 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))))))) |
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z)))) |
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z)))) |
(* -1 (pow x 2)) |
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2))) |
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z)))) |
(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (* -1 (/ (pow z 3) (pow x 2))) (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z)))) |
(* -1 (/ (* (pow y 2) (pow z 2)) x)) |
(* (pow y 2) (- (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x))) |
(* (pow y 2) (- (* y (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (- (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))) (* -1/3 (/ (pow z 2) x)))))) (/ (pow z 2) x))) |
(* (pow y 2) (- (* y (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (- (+ (* -1 (/ (pow z 4) (pow x 3))) (+ (* -1/2 (/ (pow z 2) x)) (* y (+ (* -1 (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)) (+ (* -1/2 (/ (pow z 3) (pow x 2))) (* 1/6 (/ (pow z 3) (pow x 2)))))))) (* -1/3 (/ (pow z 2) x)))))) (/ (pow z 2) x))) |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(+ x (* y (- (* -1 (* y (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z)))) |
(+ x (* y (- (* y (- (* -1 (* y (+ (* -1/2 z) (+ (* 1/6 z) (/ (* z (+ (* -1 (/ (pow z 2) x)) (* -1/2 x))) x))))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z)))) |
(/ (* (pow y 2) (pow z 2)) x) |
(* (pow y 2) (+ (/ (* y (pow z 3)) (pow x 2)) (/ (pow z 2) x))) |
(* (pow y 2) (+ (* y (- (* y (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x))) |
(* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)) (+ (* -1/2 (/ (pow z 3) (pow x 2))) (* 1/6 (/ (pow z 3) (pow x 2))))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x))) |
(sin y) |
(cos y) |
(* y (+ z (/ x y))) |
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y)))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y))))) |
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y))))) |
(pow (cos y) 2) |
(/ (pow x 2) (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(* (pow z 2) (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* x (cos y))))) |
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y))))) |
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))) (* z (+ (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))))) (/ (pow (sin y) 2) (* x (cos y))))) |
(+ (/ x (cos y)) (/ (* z (sin y)) (pow (cos y) 2))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (sin y) (pow (cos y) 2))))) (/ x (cos y))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* x (pow (cos y) 3)))))) (* -1 (/ (sin y) (pow (cos y) 2))))) (/ x (cos y))) |
(* (pow z 2) (+ (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2))) (/ (pow (sin y) 2) (* x (cos y))))) |
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y))))) |
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y))))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ y (/ x z))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2))) |
(* z (- (/ (* x (cos y)) z) (* -1 (sin y)))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (* -1 (sin y)))) |
(* z (- (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (* -1 (sin y)))) |
(* z (- (+ (/ (* x (cos y)) z) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))) (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (* -1 (sin y)))) |
(/ (+ (* -1 (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (pow x 2) (sin y)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (* -1 (/ (pow x 2) (sin y)))) (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 5) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (* -1 (/ (pow x 2) (sin y)))) (+ (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 4) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) z) |
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))) |
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (/ (* x (cos y)) z))) |
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y)))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (sin y)))) |
(* -1 (* z (- (* -1 (/ (+ (* x (cos y)) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) z)) (sin y)))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))))) z)) (* x (cos y))) z)) (sin y)))) |
(* -1 (/ (+ (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2))) (/ (pow x 2) (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* (pow x 3) (cos y)) (pow (sin y) 2))) z)) (/ (pow x 2) (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 5) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* (pow x 3) (cos y)) (pow (sin y) 2))) z)) (/ (pow x 2) (sin y))) z)) |
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z)))) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* x (cos y))) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* x (cos 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) |
(* (pow z 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) |
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2))) |
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) |
(- (* x (cos y)) (* -1 (* z (sin y)))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(- (* x (+ (cos y) (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))) (* -1 (* z (sin y)))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) x (cos.f64 y)) x (*.f64 (sin.f64 y) z)) |
(- (* x (+ (cos y) (/ (* x (pow (cos y) 2)) (* z (sin y))))) (* -1 (* z (sin y)))) |
(fma.f64 (fma.f64 (/.f64 x (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (cos.f64 y)) x (*.f64 (sin.f64 y) z)) |
(- (* x (+ (cos y) (* x (+ (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* z (sin y))))))) (* -1 (* z (sin y)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (sin.f64 y))) x (cos.f64 y)) x (*.f64 (sin.f64 y) z)) |
(* -1 (/ (pow x 2) (* z (sin y)))) |
(/.f64 (neg.f64 (*.f64 x (/.f64 x z))) (sin.f64 y)) |
(* (pow x 2) (- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (cos.f64 y) z) z) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) (*.f64 x x)) |
(* (pow x 2) (- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (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))) (*.f64 x x)) |
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) x (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) (*.f64 x x)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y)))) |
(neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(+ (* -1 (* z (sin y))) (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* z (sin y)))) (cos y)))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (neg.f64 (fma.f64 (/.f64 x (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (cos.f64 y))) x)) |
(+ (* -1 (* z (sin y))) (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* z (sin y))))) (cos y)))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (sin.f64 y)))) x (neg.f64 (cos.f64 y))) x)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x) |
x |
(* x (+ 1 (/ (* y z) x))) |
(fma.f64 (/.f64 (*.f64 z y) x) x x) |
(* -1 (* (pow x 2) (pow (cos y) 2))) |
(*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) x) |
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) |
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) |
(/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3))))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (cos.f64 y)) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x) |
(/.f64 (-.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 x))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y))) x) |
(/ x (cos y)) |
(/.f64 x (cos.f64 y)) |
(* x (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2))))) |
(fma.f64 (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x)) x (/.f64 x (cos.f64 y))) |
(* x (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z) x)) x) |
(* x (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z) (neg.f64 x)))) x) |
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (*.f64 (cos.f64 y) x)) |
(/ (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x) |
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y))) x) |
(/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x) |
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(* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)) (+ (* -1/2 (/ (pow z 3) (pow x 2))) (* 1/6 (/ (pow z 3) (pow x 2))))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) x) #s(literal -1/3 binary64) (/.f64 (*.f64 (neg.f64 z) (-.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z z) x)) (-.f64 (*.f64 (/.f64 (*.f64 z z) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))) x)) (-.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z z) x)) (-.f64 (*.f64 (/.f64 (*.f64 z z) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))) y (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) x)) y (/.f64 (*.f64 z z) x)) (*.f64 y y)) |
(sin y) |
(sin.f64 y) |
(cos y) |
(cos.f64 y) |
(* y (+ z (/ x y))) |
(*.f64 (+.f64 (/.f64 x y) z) y) |
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) |
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))) |
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y))))) |
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(/ (pow x 2) (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) |
(/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) z)) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y)) z (*.f64 (cos.f64 y) x)) |
(* (pow z 2) (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* x (cos y))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)))) (*.f64 z z)) |
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)))) z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 (cos.f64 y)))) (*.f64 z z)) |
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))) (* z (+ (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))))) (/ (pow (sin y) 2) (* x (cos y))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) z (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))) z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 (cos.f64 y)))) (*.f64 z z)) |
(+ (/ x (cos y)) (/ (* z (sin y)) (pow (cos y) 2))) |
(fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 x (cos.f64 y))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (sin y) (pow (cos y) 2))))) (/ 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)) x) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (/.f64 x (cos.f64 y))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* x (pow (cos y) 3)))))) (* -1 (/ (sin y) (pow (cos y) 2))))) (/ x (cos y))) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 z (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x) x)) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) z (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (/.f64 x (cos.f64 y))) |
(* (pow z 2) (+ (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2))) (/ (pow (sin y) 2) (* x (cos y))))) |
(*.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (*.f64 z z)) |
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (*.f64 z z)) |
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) z (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (*.f64 z z)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z) |
(* z (+ y (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z)) |
(* z (- (/ (* x (cos y)) z) (* -1 (sin y)))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (* -1 (sin y)))) |
(*.f64 (fma.f64 (neg.f64 (*.f64 x (/.f64 (/.f64 x z) z))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (fma.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (*.f64 x (/.f64 x (sin.f64 y))) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)))) z) |
(* z (- (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (* -1 (sin y)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (*.f64 x (/.f64 x (sin.f64 y))) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))) z) |
(* z (- (+ (/ (* x (cos y)) z) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))) (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (* -1 (sin y)))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (*.f64 x (/.f64 x (sin.f64 y))) (sin.f64 y)))) z) |
(/ (+ (* -1 (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (pow x 2) (sin y)))) z) |
(/.f64 (fma.f64 x (/.f64 x (sin.f64 y)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z))) (neg.f64 z)) |
(/ (- (+ (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (* -1 (/ (pow x 2) (sin y)))) (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2)))) z) |
(/.f64 (fma.f64 (*.f64 x (/.f64 x (sin.f64 y))) #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z)) z) |
(/ (- (+ (* -1 (/ (* (pow x 5) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (* -1 (/ (pow x 2) (sin y)))) (+ (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 4) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) z) |
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 x (sin.f64 y)) (*.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z)) z) |
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))) |
(*.f64 (neg.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))) z) |
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 y) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (cos.f64 y)) x)) z)) z) |
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sin.f64 y)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (cos.f64 y)) x)) z)) z) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y)))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (sin y)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (cos.f64 y) x (/.f64 #s(literal 0 binary64) z)) (neg.f64 z)) (sin.f64 y)) (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ (+ (* x (cos y)) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) z)) (sin y)))) |
(*.f64 (-.f64 (sin.f64 y) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (cos.f64 y)) x)) z)) z) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))))) z)) (* x (cos y))) z)) (sin y)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (cos.f64 y) x (/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x (/.f64 x (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 2 binary64)) z)))) (neg.f64 z))) (neg.f64 z)) (sin.f64 y)) (neg.f64 z)) |
(* -1 (/ (+ (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2))) (/ (pow x 2) (sin y))) z)) |
(/.f64 (fma.f64 x (/.f64 x (sin.f64 y)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z))) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* (pow x 3) (cos y)) (pow (sin y) 2))) z)) (/ (pow x 2) (sin y))) z)) |
(/.f64 (-.f64 (*.f64 x (/.f64 x (sin.f64 y))) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z)) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 5) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* (pow x 3) (cos y)) (pow (sin y) 2))) z)) (/ (pow x 2) (sin y))) z)) |
(/.f64 (fma.f64 x (/.f64 x (sin.f64 y)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) z) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 z))) (neg.f64 z)) |
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z)))) |
(*.f64 (neg.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))) z) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* x (cos y))) z))))) |
(*.f64 (-.f64 (sin.f64 y) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (cos.f64 y)) x)) z)) (neg.f64 z)) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* x (cos y))) z))))) |
(*.f64 (-.f64 (sin.f64 y) (/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x (/.f64 x (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 2 binary64)) z)))) z) (*.f64 (cos.f64 y) x)) z)) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 190 |
| 0 | 60 | 147 |
| 1 | 237 | 147 |
| 2 | 1667 | 147 |
| 0 | 8260 | 146 |
| 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) |
(+.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 (-.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 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x 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))))) |
(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)))) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(/.f64 (*.f64 x x) (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))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (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 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 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 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (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 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 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (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))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) #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 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))) #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) (pow.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.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)))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.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)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) (pow.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))) #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))) #s(literal -3 binary64))) (fma.f64 (+.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 0 binary64)) (+.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))) #s(literal -2 binary64)) (*.f64 (+.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 0 binary64)) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.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 2 binary64)) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.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 2 binary64)) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.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)) (fma.f64 (neg.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 2 binary64)) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) (/.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) (*.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.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 2 binary64)) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) (/.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (neg.f64 x) (cos.f64 y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (neg.f64 x) (cos.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (neg.f64 x) (cos.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))) (neg.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)))) (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 (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (neg.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))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))) |
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(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))) #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))))) |
(/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))))) |
(neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))) (/.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))) #s(literal -2 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))))) (/.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))) #s(literal -3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(*.f64 (cos.f64 y) (cos.f64 y)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cos.f64 y))) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) #s(literal 2 binary64)) |
(exp.f64 (+.f64 (log.f64 (cos.f64 y)) (log.f64 (cos.f64 y)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(*.f64 (/.f64 (*.f64 x x) (-.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 (neg.f64 z) (sin.f64 y) (*.f64 (neg.f64 x) (cos.f64 y)))) |
(*.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) x) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(*.f64 x (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(pow.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 x #s(literal -2 binary64))))) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 x #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 x #s(literal -2 binary64)))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.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 (neg.f64 z) (sin.f64 y) (*.f64 (neg.f64 x) (cos.f64 y)))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64))) |
(*.f64 (*.f64 z (sin.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(*.f64 (*.f64 z (sin.f64 y)) (*.f64 (*.f64 z (sin.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(pow.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(/.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))) |
(/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) (/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64)))) #s(literal -1 binary64))) |
Compiled 44 293 to 3 126 computations (92.9% saved)
29 alts after pruning (26 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 924 | 21 | 945 |
| Fresh | 7 | 5 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 933 | 29 | 962 |
| Status | Accuracy | Program |
|---|---|---|
| 50.9% | (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))))) | |
| 85.4% | (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))))) | |
| ▶ | 50.1% | (fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| 75.1% | (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| ▶ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
| 33.1% | (/.f64 (pow.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))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #s(literal -1 binary64))) | |
| 56.6% | (/.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))) | |
| ✓ | 57.2% | (/.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))) |
| 21.4% | (/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) | |
| 34.5% | (/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) | |
| 68.5% | (+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| 39.7% | (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))))) | |
| 52.7% | (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) | |
| 52.5% | (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) | |
| 52.7% | (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) | |
| 52.7% | (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) | |
| 26.6% | #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x)) | |
| 87.0% | #s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)) | |
| ▶ | 53.0% | #s(approx (+ (* (sin y) z) (* (cos 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)) |
| 52.8% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) | |
| 88.6% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x)) | |
| ▶ | 37.3% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z)) |
| ✓ | 53.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| 52.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))) | |
| 47.6% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) | |
| 40.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) | |
| 47.8% | #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))))) | |
| ▶ | 17.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
Compiled 1 333 to 854 computations (35.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (*.f64 x (cos.f64 y))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) | |
| cost-diff | 7104 | (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) z) | |
| cost-diff | 0 | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z)) | |
| 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 (+ (* (sin y) z) (* (cos 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)) | |
| 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 | (*.f64 (sin.f64 y) z) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 177 |
| 0 | 52 | 168 |
| 1 | 69 | 168 |
| 2 | 91 | 168 |
| 3 | 174 | 168 |
| 4 | 307 | 168 |
| 5 | 394 | 168 |
| 6 | 412 | 168 |
| 7 | 424 | 168 |
| 8 | 518 | 168 |
| 9 | 535 | 168 |
| 10 | 564 | 168 |
| 11 | 565 | 168 |
| 12 | 566 | 168 |
| 0 | 566 | 166 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(cos.f64 y) |
y |
x |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
z |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (+ (* (sin y) z) (* (cos 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 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
#s(literal -1/6 binary64) |
(*.f64 z y) |
z |
y |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) |
(sin.f64 y) |
y |
z |
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
#s(literal 2 binary64) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
y |
x |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
z |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (+ (* (sin y) z) (* (cos 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)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
#s(literal -1/6 binary64) |
(*.f64 z y) |
z |
y |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
y |
z |
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(sin.f64 y) |
y |
z |
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) |
(*.f64 x (cos.f64 y)) |
(sqrt.f64 (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) | |
| accuracy | 0.03515625 | (sqrt.f64 (*.f64 x (cos.f64 y))) | |
| accuracy | 0.0625 | (*.f64 x (cos.f64 y)) | |
| accuracy | 0.250663769536884 | (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.07421875 | (*.f64 (sin.f64 y) z) | |
| accuracy | 21.77398329299256 | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z)) | |
| 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 | 0.01953125 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) | |
| accuracy | 0.0546875 | (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) | |
| accuracy | 16.337201492346402 | #s(approx (+ (* (sin y) z) (* (cos 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)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 16.150536104532534 | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) | |
| accuracy | 17.719279860020247 | #s(approx (+ (* z y) x) (*.f64 z y)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.046875 | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) | |
| accuracy | 0.07421875 | (*.f64 (sin.f64 y) z) |
| 80.0ms | 129× | 0 | valid |
| 29.0ms | 127× | 0 | invalid |
Compiled 330 to 62 computations (81.2% saved)
ival-mult: 32.0ms (36.6% of total)ival-sqrt: 28.0ms (32% of total)ival-add: 8.0ms (9.2% of total)ival-cos: 6.0ms (6.9% of total)ival-sin: 5.0ms (5.7% of total)const: 4.0ms (4.6% of total)ival-pow2: 2.0ms (2.3% of total)ival-true: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(cos.f64 y) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
(*.f64 z y) |
#s(approx (+ (* (sin y) z) (* (cos 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 #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(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z)) |
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) |
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
| Outputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* 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)))) |
(* -1/6 (* y z)) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(* x (cos y)) |
(sqrt (* x (cos 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 (+ (* -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 (* x (* (cos y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2))) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
z |
(+ z (* -1/2 (* 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)))))) |
(sqrt x) |
(+ (sqrt x) (* -1/4 (* (sqrt x) (pow y 2)))) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* 1/24 x) (* 1/16 x)))))))) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* -1/720 x) (* -1/4 (- (* 1/24 x) (* 1/16 x))))))) (* 1/2 (* (sqrt (/ 1 x)) (- (* 1/24 x) (* 1/16 x))))))))) |
(cos y) |
(sin y) |
(* y (+ z (/ x y))) |
(* -1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2)))))) |
(* -1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* y (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z))) |
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ y (/ x z))) |
(* y (* z (+ 1 (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ x z)) (* -1/6 y))) |
(* -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))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | x | @ | inf | ((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -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)) (+ (* (sin y) z) (* (cos y) x)) (pow (sqrt (* x (cos y))) 2) (+ (* (sin y) z) (pow (sqrt (* x (cos y))) 2)) (sqrt (* x (cos y))) (* x (cos y))) |
| 10.0ms | x | @ | -inf | ((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -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)) (+ (* (sin y) z) (* (cos y) x)) (pow (sqrt (* x (cos y))) 2) (+ (* (sin y) z) (pow (sqrt (* x (cos y))) 2)) (sqrt (* x (cos y))) (* x (cos y))) |
| 2.0ms | x | @ | 0 | ((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -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)) (+ (* (sin y) z) (* (cos y) x)) (pow (sqrt (* x (cos y))) 2) (+ (* (sin y) z) (pow (sqrt (* x (cos y))) 2)) (sqrt (* x (cos y))) (* x (cos y))) |
| 2.0ms | z | @ | -inf | ((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -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)) (+ (* (sin y) z) (* (cos y) x)) (pow (sqrt (* x (cos y))) 2) (+ (* (sin y) z) (pow (sqrt (* x (cos y))) 2)) (sqrt (* x (cos y))) (* x (cos y))) |
| 2.0ms | y | @ | -inf | ((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -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)) (+ (* (sin y) z) (* (cos y) x)) (pow (sqrt (* x (cos y))) 2) (+ (* (sin y) z) (pow (sqrt (* x (cos y))) 2)) (sqrt (* x (cos y))) (* x (cos y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 299 | 1062 |
| 1 | 993 | 1015 |
| 2 | 3244 | 993 |
| 3 | 7453 | 987 |
| 0 | 8331 | 895 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* 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)))) |
(* -1/6 (* y z)) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(* x (cos y)) |
(sqrt (* x (cos 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 (+ (* -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 (* x (* (cos y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2))) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
z |
(+ z (* -1/2 (* 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)))))) |
(sqrt x) |
(+ (sqrt x) (* -1/4 (* (sqrt x) (pow y 2)))) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* 1/24 x) (* 1/16 x)))))))) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* -1/720 x) (* -1/4 (- (* 1/24 x) (* 1/16 x))))))) (* 1/2 (* (sqrt (/ 1 x)) (- (* 1/24 x) (* 1/16 x))))))))) |
(cos y) |
(sin y) |
(* y (+ z (/ x y))) |
(* -1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2)))))) |
(* -1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* y (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z))) |
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ y (/ x z))) |
(* y (* z (+ 1 (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ x z)) (* -1/6 y))) |
(* -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))))) |
| Outputs |
|---|
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* y z) |
(*.f64 z y) |
(+ x (* y z)) |
(fma.f64 z y x) |
(* 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))) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(sqrt (* x (cos y))) |
(sqrt.f64 (*.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) |
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)))) |
(*.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) x)) #s(literal 1 binary64)) x) |
(* -1/2 (* x y)) |
(*.f64 (*.f64 x y) #s(literal -1/2 binary64)) |
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) x)) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* x (- (* -1/6 (/ (* y z) x)) 1/2)) |
(*.f64 (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 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 (neg.f64 z) x) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) x)) x) |
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) |
(*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x))) x) |
(* -1 (* x (* (cos y) (pow (sqrt -1) 2)))) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 (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) |
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)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 z y)) |
y |
(* 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) |
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) |
(+ 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 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) |
(sqrt x) |
(sqrt.f64 x) |
(+ (sqrt x) (* -1/4 (* (sqrt x) (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (sqrt.f64 x)) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* 1/24 x) (* 1/16 x)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/48 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 y y) (sqrt.f64 x)) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* -1/720 x) (* -1/4 (- (* 1/24 x) (* 1/16 x))))))) (* 1/2 (* (sqrt (/ 1 x)) (- (* 1/24 x) (* 1/16 x))))))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 x #s(literal -19/2880 binary64)) y) y (*.f64 #s(literal -1/48 binary64) x))) (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (sqrt.f64 x))) |
(cos y) |
(cos.f64 y) |
(sin y) |
(sin.f64 y) |
(* y (+ z (/ x y))) |
(*.f64 (+.f64 (/.f64 x y) z) y) |
(* -1/6 (* (pow y 3) z)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64)) z) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(*.f64 (fma.f64 (/.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) (fma.f64 #s(literal -1/6 binary64) z (+.f64 (/.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) #s(literal -1/6 binary64)) 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) |
(* 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 (* 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 (neg.f64 z) y)) y))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
(*.f64 (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) |
(* 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) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) (+.f64 (/.f64 x z) 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 (* 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 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.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 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x (neg.f64 z)))) (neg.f64 z)) |
(* -1 (* z (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z) |
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) z) |
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z))))) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 145 |
| 0 | 52 | 136 |
| 1 | 181 | 136 |
| 2 | 1106 | 136 |
| 0 | 8264 | 134 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(cos.f64 y) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
(*.f64 z y) |
#s(approx (+ (* (sin y) z) (* (cos 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 #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(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z)) |
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) |
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
| Outputs |
|---|
(*.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) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.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 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (/.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 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (/.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 (*.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.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 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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)))) (/.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 (pow.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (fma.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 (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 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (/.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 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (fma.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 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 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 (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) #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))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 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))) (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 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 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))) (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 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 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 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) #s(literal 3 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))))) |
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(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) #s(literal 3 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 (-.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (*.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (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)))) (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)))) (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)))) (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))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (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 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(neg.f64 (/.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 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) |
(neg.f64 (/.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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(neg.f64 (/.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)))) (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 (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)))) (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 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))) |
(neg.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))) (neg.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (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 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) (sqrt.f64 x) (*.f64 z (sin.f64 y))) |
(fma.f64 (sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y)) #s(literal 1/2 binary64)) (sqrt.f64 x) (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) x)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) x)) (sqrt.f64 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64))) (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (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)))))) |
(fma.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) (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)))))) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x (*.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (*.f64 x (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) |
(fma.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.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)))) (/.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)))) (/.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 (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 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) x))) (sqrt.f64 (sqrt.f64 (cos.f64 y)))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 x (cos.f64 y)))))) |
(*.f64 (exp.f64 (log.f64 (sqrt.f64 x))) (exp.f64 (log.f64 (sqrt.f64 (cos.f64 y))))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 x (cos.f64 y)))) |
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 x (cos.f64 y))) |
(fabs.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y)) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) x)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) x)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x (*.f64 x (cos.f64 y))))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (*.f64 x (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 x (cos.f64 y))))) |
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y)))) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))) |
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 x (cos.f64 y))) |
(exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 x (cos.f64 y))) (log.f64 (*.f64 x (cos.f64 y)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (*.f64 x (cos.f64 y)))) |
Compiled 13 403 to 1 486 computations (88.9% saved)
36 alts after pruning (29 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 359 | 11 | 370 |
| Fresh | 3 | 18 | 21 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 363 | 36 | 399 |
| Status | Accuracy | Program |
|---|---|---|
| 50.9% | (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))))) | |
| 85.4% | (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))))) | |
| ▶ | 42.1% | (fma.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) (sqrt.f64 x) (*.f64 z (sin.f64 y))) |
| ✓ | 50.1% | (fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| 75.1% | (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
| 33.1% | (/.f64 (pow.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))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #s(literal -1 binary64))) | |
| 56.6% | (/.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))) | |
| ✓ | 57.2% | (/.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))) |
| 21.4% | (/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) | |
| 34.5% | (/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) | |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
| 68.5% | (+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| 39.7% | (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))))) | |
| 52.7% | (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) | |
| 52.7% | (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) | |
| ▶ | 26.6% | #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x)) |
| 87.0% | #s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)) | |
| 52.8% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) | |
| 46.6% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z)) y z) y x)) | |
| 52.9% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) | |
| 37.9% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) y x)) | |
| 38.1% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) | |
| 88.6% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x)) | |
| ✓ | 37.3% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z)) |
| 46.7% | #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x (neg.f64 z)))) (neg.f64 z)))) | |
| ▶ | 38.0% | #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
| 17.2% | #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 z y)))) | |
| 3.1% | #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64)) z))) | |
| 17.0% | #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (* (sin y) 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))) | |
| ✓ | 53.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| 47.6% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) | |
| 40.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) | |
| ▶ | 47.8% | #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))))) |
| ✓ | 17.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
Compiled 1 785 to 1 155 computations (35.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x (cos.f64 y)) | |
| cost-diff | 0 | (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y)) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) (sqrt.f64 x) (*.f64 z (sin.f64 y))) | |
| cost-diff | 0 | (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x) | |
| cost-diff | 0 | #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x)) | |
| cost-diff | 640 | (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))) | |
| cost-diff | 0 | #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))))) | |
| cost-diff | 1280 | (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 400 |
| 0 | 100 | 395 |
| 1 | 180 | 395 |
| 2 | 382 | 388 |
| 3 | 1079 | 373 |
| 4 | 3492 | 361 |
| 5 | 6734 | 361 |
| 0 | 8040 | 346 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
x |
#s(approx (+ (* 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 (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))) |
(neg.f64 x) |
x |
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) |
(neg.f64 y) |
y |
(/.f64 z x) |
z |
#s(literal -1 binary64) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x) |
(fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) |
(-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) |
(/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) |
(fma.f64 z z (*.f64 x x)) |
z |
(*.f64 x x) |
x |
(neg.f64 x) |
(-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x)) |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 z z) x) |
(*.f64 z z) |
y |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) (sqrt.f64 x) (*.f64 z (sin.f64 y))) |
(sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) |
(*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y)) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(sqrt.f64 x) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
x |
#s(approx (+ (* 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 (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* z y) x) (fma.f64 z y x))) |
#s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))) |
#s(approx (+ (* z y) x) (fma.f64 z y x)) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))) |
(fma.f64 z y x) |
(neg.f64 x) |
x |
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) |
(fma.f64 (/.f64 z x) (neg.f64 y) #s(literal -1 binary64)) |
(neg.f64 y) |
y |
(/.f64 z x) |
z |
#s(literal -1 binary64) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (fma.f64 (/.f64 y x) (fma.f64 z z (neg.f64 (fma.f64 z z (*.f64 x x)))) z)) y x)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x) |
(fma.f64 (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (fma.f64 (/.f64 y x) (fma.f64 z z (neg.f64 (fma.f64 z z (*.f64 x x)))) z)) y x) |
(fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (fma.f64 (/.f64 y x) (fma.f64 z z (neg.f64 (fma.f64 z z (*.f64 x x)))) z)) |
(-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (neg.f64 z) z (fma.f64 z z (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) |
(fma.f64 z z (*.f64 x x)) |
z |
(*.f64 x x) |
x |
(neg.f64 x) |
(-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x)) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 z x) z))) |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 z z) x) |
(*.f64 (/.f64 z x) z) |
(*.f64 z z) |
y |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) (sqrt.f64 x) (*.f64 z (sin.f64 y))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) (cos.f64 y))) (*.f64 (sin.f64 y) z)) |
(sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) |
(sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) (cos.f64 y))) |
(*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y)) |
(*.f64 (*.f64 (cos.f64 y) x) (cos.f64 y)) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
y |
(sqrt.f64 x) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03515625 | (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) | |
| accuracy | 0.0625 | (*.f64 z (sin.f64 y)) | |
| accuracy | 0.09375 | (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y)) | |
| accuracy | 0.11556625976844202 | (fma.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) (sqrt.f64 x) (*.f64 z (sin.f64 y))) | |
| accuracy | 3.0816546597120564 | (/.f64 (*.f64 z z) x) | |
| accuracy | 10.047405484362553 | (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) | |
| accuracy | 12.166666738592365 | (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) | |
| accuracy | 13.238645710413149 | #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x)) | |
| accuracy | 0 | #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))) | |
| accuracy | 1.1874185941505304 | (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) | |
| accuracy | 2.622227805286139 | (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))) | |
| accuracy | 12.949987868476065 | #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))))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 1.427803353277334 | (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) | |
| accuracy | 10.166317533616887 | #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) | |
| accuracy | 13.265586101664667 | #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) | |
| accuracy | 0.015625 | (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.0625 | (*.f64 z (sin.f64 y)) | |
| accuracy | 0.078125 | (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) | |
| accuracy | 0.1328125 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
| 69.0ms | 138× | 0 | invalid |
| 52.0ms | 66× | 0 | valid |
| 42.0ms | 45× | 1 | valid |
| 5.0ms | 5× | 2 | valid |
| 1.0ms | 2× | 1 | exit |
Compiled 730 to 124 computations (83% saved)
ival-mult: 36.0ms (27.2% of total)ival-sin: 32.0ms (24.2% of total)ival-add: 15.0ms (11.3% of total)ival-div: 12.0ms (9.1% of total)ival-cos: 9.0ms (6.8% of total)adjust: 6.0ms (4.5% of total)ival-pow2: 6.0ms (4.5% of total)ival-sub: 5.0ms (3.8% of total)const: 5.0ms (3.8% of total)ival-sqrt: 3.0ms (2.3% of total)ival-neg: 2.0ms (1.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))) |
#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 (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))) |
(neg.f64 x) |
(-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x) |
(fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) (sqrt.f64 x) (*.f64 z (sin.f64 y))) |
(sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) |
(*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y)) |
(*.f64 x (cos.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 y y) |
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) |
(/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) |
(/.f64 (*.f64 z z) 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 (* -1/6 (* (pow y 2) z)))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* y z) |
(+ x (* y z)) |
(* -1 x) |
(/ (+ (* -1 (pow z 2)) (pow z 2)) x) |
(/ (+ (* -1 (pow z 2)) (+ (* -1/2 (pow x 2)) (pow z 2))) x) |
(/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x) |
(/ (+ (* x (* y z)) (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) x) |
(/ (+ (* x (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z))) (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) x) |
(/ (* y (+ (* -1 (pow z 2)) (pow z 2))) x) |
(/ (+ (* x z) (* y (+ (* -1 (pow z 2)) (pow z 2)))) x) |
(/ (+ (* x (+ z (* -1/2 (* x y)))) (* y (+ (* -1 (pow z 2)) (pow z 2)))) x) |
(* (sqrt x) (cos y)) |
(* x (pow (cos y) 2)) |
(* x (cos y)) |
(* -1 (/ (* y z) x)) |
(/ (+ (* -1 x) (* -1 (* y z))) x) |
(* -1 (/ (pow z 2) x)) |
(/ (+ (* -1 (pow x 2)) (* -1 (pow z 2))) x) |
(/ (pow z 2) x) |
(* 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 (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* -1/2 x) |
(* x (- (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))) 1/2)) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ (* y z) x) (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) (pow x 2)))))) |
(* -1/2 (* x y)) |
(* x (+ (* -1/2 y) (/ z x))) |
(* x (+ (* -1/2 y) (+ (/ z x) (/ (* y (+ (* -1 (pow z 2)) (pow z 2))) (pow x 2))))) |
-1 |
(- (* -1 (/ (* y z) x)) 1) |
(* x (- (* -1 (/ (pow z 2) (pow x 2))) 1)) |
(* -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 (- (* 1/2 (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 (/ (* y z) x)) 1))) |
(* -1 (* x (+ 1/2 (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2)))))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* y z)) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (+ (* -1 (/ z x)) (* 1/2 y)))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1 (/ (* y (+ (* -1 (pow z 2)) (pow z 2))) x))) x)) (* 1/2 y)))) |
(* -1 (* x (* (cos y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt x) (* (cos y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ 1 (/ (pow z 2) (pow x 2))))) |
(+ 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)) |
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))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z)))) |
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z)))) |
(+ x (* y (+ z (* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x)))))) |
z |
(+ z (* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x)))) |
(sqrt x) |
(+ (sqrt x) (* -1/2 (* (sqrt x) (pow y 2)))) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* 1/24 (* (sqrt x) (pow y 2)))))) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* (pow y 2) (+ (* -1/720 (* (sqrt x) (pow y 2))) (* 1/24 (sqrt x))))))) |
(+ x (* -1 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(* y (+ z (* (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))))))) |
(pow y 2) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(cos 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)))))) |
(* -1/2 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2)) |
(* y (+ z (/ x y))) |
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y)))) |
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x))) |
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (+ (/ z y) (/ (pow z 2) x))) (* -1/2 x))) |
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (+ (/ x (pow y 2)) (+ (/ z y) (/ (pow z 2) x)))) (* -1/2 x))) |
(* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x))) |
(* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (+ (/ z y) (/ (pow z 2) x))) (* -1/2 x))) |
(* y (- (* -1 (/ z x)) (/ 1 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)))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x))) (* -1/2 x))) |
(* -1 (* y (+ (* -1 (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x))) (* -1 (/ z y))))) |
(* -1 (* y (+ (/ 1 y) (/ z x)))) |
(+ (* -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 x) (* -1/2 x)) |
(+ x (* (pow y 2) (- (* -1 x) (* -1/2 x)))) |
(+ x (+ (* y z) (* (pow y 2) (- (* -1 x) (* -1/2 x))))) |
(* y (- (* -1 x) (* -1/2 x))) |
(+ z (* y (- (* -1 x) (* -1/2 x)))) |
(+ (* -1 x) (* -1 (/ (pow z 2) x))) |
(* z (+ (sin y) (/ (* x (cos 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) |
(* 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 (+ y (/ x z))) |
(* z (+ y (+ (/ x z) (/ (* (pow y 2) (- (* -1 x) (* -1/2 x))) z)))) |
(* z (+ 1 (/ (* y (- (* -1 x) (* -1/2 x))) z))) |
(* z (- (* -1 (/ y x)) (/ 1 z))) |
(* (pow z 2) (- (* -1 (/ x (pow z 2))) (/ 1 x))) |
(* -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 (* 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 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* (pow y 2) (- (* -1 x) (* -1/2 x)))) z))))) |
(* -1 (* z (- (* -1 (/ (* y (- (* -1 x) (* -1/2 x))) z)) 1))) |
(* -1 (* z (+ (/ 1 z) (/ y x)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | z | @ | -inf | ((/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (/ 1 (+ (* x (cos y)) (* z (sin y)))) (+ (* x (cos y)) (* z (sin y))) (cos y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (+ (* -1/2 (* y y)) 1) x) (+ (* -1/2 (* y y)) 1) (* (neg x) (+ (* (neg y) (/ z x)) -1)) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (neg x) (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (sqrt (* (* x (cos y)) (cos y))) (* (* x (cos y)) (cos y)) (* x (cos y)) (* z (sin y)) (* y y) (+ (* (neg y) (/ z x)) -1) (/ (+ (* z z) (* x x)) (neg x)) (/ (* z z) x)) |
| 8.0ms | x | @ | inf | ((/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (/ 1 (+ (* x (cos y)) (* z (sin y)))) (+ (* x (cos y)) (* z (sin y))) (cos y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (+ (* -1/2 (* y y)) 1) x) (+ (* -1/2 (* y y)) 1) (* (neg x) (+ (* (neg y) (/ z x)) -1)) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (neg x) (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (sqrt (* (* x (cos y)) (cos y))) (* (* x (cos y)) (cos y)) (* x (cos y)) (* z (sin y)) (* y y) (+ (* (neg y) (/ z x)) -1) (/ (+ (* z z) (* x x)) (neg x)) (/ (* z z) x)) |
| 7.0ms | x | @ | 0 | ((/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (/ 1 (+ (* x (cos y)) (* z (sin y)))) (+ (* x (cos y)) (* z (sin y))) (cos y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (+ (* -1/2 (* y y)) 1) x) (+ (* -1/2 (* y y)) 1) (* (neg x) (+ (* (neg y) (/ z x)) -1)) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (neg x) (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (sqrt (* (* x (cos y)) (cos y))) (* (* x (cos y)) (cos y)) (* x (cos y)) (* z (sin y)) (* y y) (+ (* (neg y) (/ z x)) -1) (/ (+ (* z z) (* x x)) (neg x)) (/ (* z z) x)) |
| 7.0ms | y | @ | -inf | ((/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (/ 1 (+ (* x (cos y)) (* z (sin y)))) (+ (* x (cos y)) (* z (sin y))) (cos y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (+ (* -1/2 (* y y)) 1) x) (+ (* -1/2 (* y y)) 1) (* (neg x) (+ (* (neg y) (/ z x)) -1)) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (neg x) (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (sqrt (* (* x (cos y)) (cos y))) (* (* x (cos y)) (cos y)) (* x (cos y)) (* z (sin y)) (* y y) (+ (* (neg y) (/ z x)) -1) (/ (+ (* z z) (* x x)) (neg x)) (/ (* z z) x)) |
| 6.0ms | x | @ | -inf | ((/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (/ 1 (+ (* x (cos y)) (* z (sin y)))) (+ (* x (cos y)) (* z (sin y))) (cos y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (+ (* -1/2 (* y y)) 1) x) (+ (* -1/2 (* y y)) 1) (* (neg x) (+ (* (neg y) (/ z x)) -1)) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (neg x) (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (sqrt (* (* x (cos y)) (cos y))) (* (* x (cos y)) (cos y)) (* x (cos y)) (* z (sin y)) (* y y) (+ (* (neg y) (/ z x)) -1) (/ (+ (* z z) (* x x)) (neg x)) (/ (* z z) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 589 | 2385 |
| 1 | 1949 | 2258 |
| 2 | 6841 | 2202 |
| 0 | 8853 | 2054 |
| 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 (* -1/6 (* (pow y 2) z)))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* y z) |
(+ x (* y z)) |
(* -1 x) |
(/ (+ (* -1 (pow z 2)) (pow z 2)) x) |
(/ (+ (* -1 (pow z 2)) (+ (* -1/2 (pow x 2)) (pow z 2))) x) |
(/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x) |
(/ (+ (* x (* y z)) (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) x) |
(/ (+ (* x (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z))) (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) x) |
(/ (* y (+ (* -1 (pow z 2)) (pow z 2))) x) |
(/ (+ (* x z) (* y (+ (* -1 (pow z 2)) (pow z 2)))) x) |
(/ (+ (* x (+ z (* -1/2 (* x y)))) (* y (+ (* -1 (pow z 2)) (pow z 2)))) x) |
(* (sqrt x) (cos y)) |
(* x (pow (cos y) 2)) |
(* x (cos y)) |
(* -1 (/ (* y z) x)) |
(/ (+ (* -1 x) (* -1 (* y z))) x) |
(* -1 (/ (pow z 2) x)) |
(/ (+ (* -1 (pow x 2)) (* -1 (pow z 2))) x) |
(/ (pow z 2) x) |
(* 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 (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* -1/2 x) |
(* x (- (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))) 1/2)) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ (* y z) x) (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) (pow x 2)))))) |
(* -1/2 (* x y)) |
(* x (+ (* -1/2 y) (/ z x))) |
(* x (+ (* -1/2 y) (+ (/ z x) (/ (* y (+ (* -1 (pow z 2)) (pow z 2))) (pow x 2))))) |
-1 |
(- (* -1 (/ (* y z) x)) 1) |
(* x (- (* -1 (/ (pow z 2) (pow x 2))) 1)) |
(* -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 (- (* 1/2 (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 (/ (* y z) x)) 1))) |
(* -1 (* x (+ 1/2 (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2)))))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* y z)) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (+ (* -1 (/ z x)) (* 1/2 y)))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1 (/ (* y (+ (* -1 (pow z 2)) (pow z 2))) x))) x)) (* 1/2 y)))) |
(* -1 (* x (* (cos y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt x) (* (cos y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ 1 (/ (pow z 2) (pow x 2))))) |
(+ 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)) |
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))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z)))) |
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z)))) |
(+ x (* y (+ z (* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x)))))) |
z |
(+ z (* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x)))) |
(sqrt x) |
(+ (sqrt x) (* -1/2 (* (sqrt x) (pow y 2)))) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* 1/24 (* (sqrt x) (pow y 2)))))) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* (pow y 2) (+ (* -1/720 (* (sqrt x) (pow y 2))) (* 1/24 (sqrt x))))))) |
(+ x (* -1 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(* y (+ z (* (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))))))) |
(pow y 2) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(cos 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)))))) |
(* -1/2 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2)) |
(* y (+ z (/ x y))) |
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y)))) |
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x))) |
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (+ (/ z y) (/ (pow z 2) x))) (* -1/2 x))) |
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (+ (/ x (pow y 2)) (+ (/ z y) (/ (pow z 2) x)))) (* -1/2 x))) |
(* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x))) |
(* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (+ (/ z y) (/ (pow z 2) x))) (* -1/2 x))) |
(* y (- (* -1 (/ z x)) (/ 1 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)))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x))) (* -1/2 x))) |
(* -1 (* y (+ (* -1 (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x))) (* -1 (/ z y))))) |
(* -1 (* y (+ (/ 1 y) (/ z x)))) |
(+ (* -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 x) (* -1/2 x)) |
(+ x (* (pow y 2) (- (* -1 x) (* -1/2 x)))) |
(+ x (+ (* y z) (* (pow y 2) (- (* -1 x) (* -1/2 x))))) |
(* y (- (* -1 x) (* -1/2 x))) |
(+ z (* y (- (* -1 x) (* -1/2 x)))) |
(+ (* -1 x) (* -1 (/ (pow z 2) x))) |
(* z (+ (sin y) (/ (* x (cos 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) |
(* 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 (+ y (/ x z))) |
(* z (+ y (+ (/ x z) (/ (* (pow y 2) (- (* -1 x) (* -1/2 x))) z)))) |
(* z (+ 1 (/ (* y (- (* -1 x) (* -1/2 x))) z))) |
(* z (- (* -1 (/ y x)) (/ 1 z))) |
(* (pow z 2) (- (* -1 (/ x (pow z 2))) (/ 1 x))) |
(* -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 (* 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 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* (pow y 2) (- (* -1 x) (* -1/2 x)))) z))))) |
(* -1 (* z (- (* -1 (/ (* y (- (* -1 x) (* -1/2 x))) z)) 1))) |
(* -1 (* z (+ (/ 1 z) (/ y x)))) |
| 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)) |
(/ 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 (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 (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 (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 (* -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)) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(* y z) |
(*.f64 z y) |
(+ x (* y z)) |
(fma.f64 z y x) |
(* -1 x) |
(neg.f64 x) |
(/ (+ (* -1 (pow z 2)) (pow z 2)) x) |
#s(literal 0 binary64) |
(/ (+ (* -1 (pow z 2)) (+ (* -1/2 (pow x 2)) (pow z 2))) x) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x) |
(/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x) |
#s(literal 0 binary64) |
(/ (+ (* x (* y z)) (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) x) |
(/.f64 (fma.f64 (*.f64 z y) x #s(literal 0 binary64)) x) |
(/ (+ (* x (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z))) (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x) x #s(literal 0 binary64)) x) |
(/ (* y (+ (* -1 (pow z 2)) (pow z 2))) x) |
#s(literal 0 binary64) |
(/ (+ (* x z) (* y (+ (* -1 (pow z 2)) (pow z 2)))) x) |
(/.f64 (fma.f64 z x #s(literal 0 binary64)) x) |
(/ (+ (* x (+ z (* -1/2 (* x y)))) (* y (+ (* -1 (pow z 2)) (pow z 2)))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) x #s(literal 0 binary64)) x) |
(* (sqrt x) (cos y)) |
(*.f64 (sqrt.f64 x) (cos.f64 y)) |
(* x (pow (cos y) 2)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (/ (* y z) x)) |
(*.f64 (neg.f64 y) (/.f64 z x)) |
(/ (+ (* -1 x) (* -1 (* y z))) x) |
(/.f64 (neg.f64 (fma.f64 z y x)) x) |
(* -1 (/ (pow z 2) x)) |
(*.f64 (neg.f64 z) (/.f64 z x)) |
(/ (+ (* -1 (pow x 2)) (* -1 (pow z 2))) x) |
(/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) 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) |
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(/.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 (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 (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 (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 x) (* -1/2 x)) |
(*.f64 #s(literal -1/2 binary64) x) |
(+ x (* (pow y 2) (- (* -1 x) (* -1/2 x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(+ x (+ (* y z) (* (pow y 2) (- (* -1 x) (* -1/2 x))))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x) |
(* y (- (* -1 x) (* -1/2 x))) |
(*.f64 (*.f64 y x) #s(literal -1/2 binary64)) |
(+ z (* y (- (* -1 x) (* -1/2 x)))) |
(fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) |
(+ (* -1 x) (* -1 (/ (pow z 2) x))) |
(neg.f64 (fma.f64 z (/.f64 z x) x)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 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 (neg.f64 (/.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) |
(* 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 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 y y) (+.f64 (/.f64 x z) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))) z) |
(* z (+ y (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* z (+ y (+ (/ x z) (/ (* (pow y 2) (- (* -1 x) (* -1/2 x))) z)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y x) y) z) #s(literal -1/2 binary64) (+.f64 (/.f64 x z) y)) z) |
(* z (+ 1 (/ (* y (- (* -1 x) (* -1/2 x))) z))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) z z) |
(* z (- (* -1 (/ y x)) (/ 1 z))) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 z y) x)) |
(* (pow z 2) (- (* -1 (/ x (pow z 2))) (/ 1 x))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 x z) z)) (*.f64 z z)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* -1 (/ (- (/ (* 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 (fma.f64 (neg.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 z))) z) (/.f64 #s(literal 1 binary64) (sin.f64 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 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) (neg.f64 z))) (neg.f64 z)) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* (pow y 2) (- (* -1 x) (* -1/2 x)))) z))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) z) y) z) |
(* -1 (* z (- (* -1 (/ (* y (- (* -1 x) (* -1/2 x))) z)) 1))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x z)) y #s(literal -1 binary64)) (neg.f64 z)) |
(* -1 (* z (+ (/ 1 z) (/ y x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 z y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 338 |
| 0 | 100 | 311 |
| 1 | 430 | 309 |
| 2 | 3318 | 307 |
| 0 | 10936 | 295 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))) |
#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 (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))) |
(neg.f64 x) |
(-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x) |
(fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) (sqrt.f64 x) (*.f64 z (sin.f64 y))) |
(sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) |
(*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y)) |
(*.f64 x (cos.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 y y) |
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) |
(/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) |
(/.f64 (*.f64 z z) x) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.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)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)))) #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))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #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 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.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 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.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 (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)) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (-.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)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.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)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1 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 (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)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.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 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.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 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64))) |
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(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64))) |
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(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x))) |
(*.f64 (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 (sqrt.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z))) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 z x) (neg.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 z x) (neg.f64 y) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (neg.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 z x) (neg.f64 y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 z x) (neg.f64 y) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) (*.f64 (/.f64 z x) (*.f64 (neg.f64 y) #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 z x) (neg.f64 y) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (/.f64 z x) #s(literal -1 binary64)) y #s(literal -1 binary64)) |
(fma.f64 (*.f64 (neg.f64 y) z) (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) y) #s(literal -1 binary64)) |
(fma.f64 (/.f64 z x) (neg.f64 y) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) |
(fma.f64 z (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 y)) #s(literal -1 binary64)) |
(fma.f64 y (neg.f64 (/.f64 z x)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 z x) (neg.f64 y) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 z x) (neg.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) y)) |
(+.f64 (*.f64 (/.f64 z x) (neg.f64 y)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (neg.f64 y))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 z x) (-.f64 z x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (pow.f64 (fma.f64 z z (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z (*.f64 x x))) |
(*.f64 (neg.f64 (fma.f64 z z (*.f64 x x))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (fma.f64 z z (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z z (*.f64 x x)) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x))) |
(pow.f64 (/.f64 (/.f64 (neg.f64 x) (fma.f64 z z (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 x) (fma.f64 z z (*.f64 x x))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (fma.f64 z z (*.f64 x x)) #s(literal -1 binary64)) x) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) x)) (*.f64 (+.f64 z x) (-.f64 z x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) x)) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 z z (*.f64 x x)))) (neg.f64 x)) |
(/.f64 (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (neg.f64 x))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) (*.f64 (+.f64 z x) (-.f64 z x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (neg.f64 x) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 z z (*.f64 x x))) x) |
(/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 x) (fma.f64 z z (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) (fma.f64 z z (*.f64 x x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fma.f64 z z (*.f64 x x)))) |
(neg.f64 (/.f64 (fma.f64 z z (*.f64 x x)) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z z (*.f64 x x)) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 x) (fma.f64 z z (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z)) |
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 z z) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 z x) z) |
(*.f64 z (/.f64 z x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) z)) |
(pow.f64 (/.f64 (/.f64 (/.f64 x z) z) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x z) z) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64)) x) |
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 x z)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) z)) x) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x z) z))) |
(/.f64 z (/.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 x z) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) z)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 z) z) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x z) z)) #s(literal -1 binary64))) |
Compiled 40 448 to 3 723 computations (90.8% saved)
48 alts after pruning (41 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 786 | 27 | 813 |
| Fresh | 10 | 14 | 24 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 6 | 7 |
| Total | 801 | 48 | 849 |
| Status | Accuracy | Program |
|---|---|---|
| 50.9% | (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))))) | |
| 45.8% | (fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (*.f64 (sin.f64 y) z)) | |
| ✓ | 50.1% | (fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| 75.1% | (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
| 33.1% | (/.f64 (pow.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))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #s(literal -1 binary64))) | |
| 21.4% | (/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) | |
| 34.5% | (/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) | |
| 52.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 56.6% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (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)))) | |
| 35.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) y (/.f64 #s(literal 1 binary64) x)))) | |
| 63.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.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)))) | |
| 63.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) | |
| 40.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) | |
| 39.7% | (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))))) | |
| 52.7% | (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) | |
| 52.7% | (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) | |
| 21.6% | #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (fma.f64 (/.f64 z x) z (fma.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))) y z) y x)) | |
| 37.2% | #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)) y z) y x)) | |
| 52.8% | #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) | |
| 39.3% | #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (/.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) x #s(literal 0 binary64)) x)) y x)) | |
| 20.7% | #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) y)) y x)) | |
| 40.4% | #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) #s(literal 0 binary64)) y x)) | |
| 29.0% | #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x) x #s(literal 0 binary64)) x))) | |
| 13.1% | #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 z y) x #s(literal 0 binary64)) x))) | |
| 2.2% | #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) (*.f64 y y)))) | |
| 2.3% | #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 z (/.f64 z x) (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)))) y) y))) | |
| 2.9% | #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64))) | |
| 87.0% | #s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)) | |
| 63.7% | #s(approx (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x)) | |
| 52.9% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) | |
| 37.9% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) y x)) | |
| 88.6% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x)) | |
| ✓ | 37.3% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z)) |
| ✓ | 38.0% | #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
| 17.2% | #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 z y)))) | |
| 2.8% | #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x))) | |
| 14.8% | #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (/.f64 x y) y)) y) y)))) | |
| 2.9% | #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64))))) | |
| 17.0% | #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (* (sin y) 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))) | |
| ✓ | 53.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| 45.1% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 z x) (*.f64 (neg.f64 y) (neg.f64 x)) x))) | |
| 22.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (/.f64 z x) (neg.f64 y)) (neg.f64 x))))) | |
| 24.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))) | |
| 40.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) | |
| 11.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (neg y) (/ z x)) -1) (*.f64 (neg.f64 y) (/.f64 z x)))))) | |
| ✓ | 17.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
Compiled 4 095 to 1 435 computations (65% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) #s(literal 0 binary64)) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (*.f64 #s(literal -1/2 binary64) x)) y 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))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) 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 (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 z y) x #s(literal 0 binary64)) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 z y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (neg y) (/ z x)) -1) (*.f64 (neg.f64 y) (/.f64 z 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))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 z x) (*.f64 (neg.f64 y) (neg.f64 x)) 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 (+ (* (sin y) z) (* (cos 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)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (* (sin y) 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))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)) y z) y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x) x #s(literal 0 binary64)) x))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (/.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) x #s(literal 0 binary64)) x)) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (/.f64 x y) y)) y) y)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z)) y z) y x)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) y (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (/.f64 z x) (neg.f64 y)) (neg.f64 x))))) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x (neg.f64 z)))) (neg.f64 z)))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 z (/.f64 z x) (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)))) y) y))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (fma.f64 (/.f64 z x) z (fma.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))) y z) y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) (*.f64 y y)))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) y)) y 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 (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64)) 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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x)) |
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (*.f64 (sin.f64 y) z)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))))) |
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.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))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) (sqrt.f64 x) (*.f64 z (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) |
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.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)))) |
(/.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 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (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 (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 x x) (/.f64 (pow.f64 (cos.f64 y) #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))))) |
(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))))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x 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))))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))))) |
(fma.f64 (*.f64 (*.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (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 (pow.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))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #s(literal -1 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)))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
4 calls:
| 41.0ms | x |
| 41.0ms | z |
| 24.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 20.0ms | 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 (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) #s(literal 0 binary64)) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (*.f64 #s(literal -1/2 binary64) x)) y 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))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) 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 (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 z y) x #s(literal 0 binary64)) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 z y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (neg y) (/ z x)) -1) (*.f64 (neg.f64 y) (/.f64 z 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))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 z x) (*.f64 (neg.f64 y) (neg.f64 x)) 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 (+ (* (sin y) z) (* (cos 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)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (* (sin y) 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))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)) y z) y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x) x #s(literal 0 binary64)) x))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (/.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) x #s(literal 0 binary64)) x)) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (/.f64 x y) y)) y) y)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z)) y z) y x)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) y (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (/.f64 z x) (neg.f64 y)) (neg.f64 x))))) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x (neg.f64 z)))) (neg.f64 z)))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 z (/.f64 z x) (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)))) y) y))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (fma.f64 (/.f64 z x) z (fma.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))) y z) y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) (*.f64 y y)))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) y)) y 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 (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64)) 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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
4 calls:
| 20.0ms | x |
| 17.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 16.0ms | y |
| 14.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) #s(literal 0 binary64)) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (*.f64 #s(literal -1/2 binary64) x)) y 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))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) 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 (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 z y) x #s(literal 0 binary64)) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 z y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (neg y) (/ z x)) -1) (*.f64 (neg.f64 y) (/.f64 z 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))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 z x) (*.f64 (neg.f64 y) (neg.f64 x)) 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 (+ (* (sin y) z) (* (cos 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)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (* (sin y) 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))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)) y z) y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x) x #s(literal 0 binary64)) x))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (/.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) x #s(literal 0 binary64)) x)) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (/.f64 x y) y)) y) y)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z)) y z) y x)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) y (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (/.f64 z x) (neg.f64 y)) (neg.f64 x))))) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x (neg.f64 z)))) (neg.f64 z)))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 z (/.f64 z x) (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)))) y) y))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (fma.f64 (/.f64 z x) z (fma.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))) y z) y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) (*.f64 y y)))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) y)) y 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 (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64)) 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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.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 (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
4 calls:
| 20.0ms | x |
| 17.0ms | y |
| 17.0ms | z |
| 16.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.4% | 3 | x |
| 81.8% | 3 | y |
| 88.5% | 3 | z |
| 75.1% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) #s(literal 0 binary64)) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (*.f64 #s(literal -1/2 binary64) x)) y 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))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) 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 (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 z y) x #s(literal 0 binary64)) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 z y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (neg y) (/ z x)) -1) (*.f64 (neg.f64 y) (/.f64 z 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))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 z x) (*.f64 (neg.f64 y) (neg.f64 x)) 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 (+ (* (sin y) z) (* (cos 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)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (* (sin y) 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))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)) y z) y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x) x #s(literal 0 binary64)) x))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (/.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) x #s(literal 0 binary64)) x)) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (/.f64 x y) y)) y) y)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z)) y z) y x)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) y (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (/.f64 z x) (neg.f64 y)) (neg.f64 x))))) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x (neg.f64 z)))) (neg.f64 z)))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 z (/.f64 z x) (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)))) y) y))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (fma.f64 (/.f64 z x) z (fma.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))) y z) y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) (*.f64 y y)))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) y)) y 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 (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64)) z))) |
| Outputs |
|---|
#s(approx (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (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 (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
3 calls:
| 153.0ms | y |
| 14.0ms | x |
| 14.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.3% | 4 | y |
| 77.2% | 3 | x |
| 77.3% | 3 | z |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) #s(literal 0 binary64)) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (*.f64 #s(literal -1/2 binary64) x)) y 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))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) 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 (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 z y) x #s(literal 0 binary64)) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 z y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (neg y) (/ z x)) -1) (*.f64 (neg.f64 y) (/.f64 z 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))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 z x) (*.f64 (neg.f64 y) (neg.f64 x)) 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 (+ (* (sin y) z) (* (cos 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)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (* (sin y) 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))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)) y z) y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x) x #s(literal 0 binary64)) x))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (/.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) x #s(literal 0 binary64)) x)) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (/.f64 x y) y)) y) y)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z)) y z) y x)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) y (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (/.f64 z x) (neg.f64 y)) (neg.f64 x))))) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x (neg.f64 z)))) (neg.f64 z)))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 z (/.f64 z x) (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)))) y) y))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (fma.f64 (/.f64 z x) z (fma.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))) y z) y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) (*.f64 y y)))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) y)) y 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)) |
4 calls:
| 19.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 15.0ms | x |
| 12.0ms | y |
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.4% | 3 | x |
| 60.3% | 3 | z |
| 53.9% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 73.0% | 3 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) #s(literal 0 binary64)) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (*.f64 #s(literal -1/2 binary64) x)) y 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))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) 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 (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 z y) x #s(literal 0 binary64)) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 z y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (neg y) (/ z x)) -1) (*.f64 (neg.f64 y) (/.f64 z 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))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 z x) (*.f64 (neg.f64 y) (neg.f64 x)) 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 (+ (* (sin y) z) (* (cos 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)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (* (sin y) 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))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)) y z) y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x) x #s(literal 0 binary64)) x))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (/.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) x #s(literal 0 binary64)) x)) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (/.f64 x y) y)) y) y)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z)) y z) y x)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) y (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (/.f64 z x) (neg.f64 y)) (neg.f64 x))))) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x (neg.f64 z)))) (neg.f64 z)))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 z (/.f64 z x) (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)))) y) y))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (fma.f64 (/.f64 z x) z (fma.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))) y z) y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x)) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) (*.f64 y y)))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) y)) y x)) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
4 calls:
| 20.0ms | x |
| 18.0ms | z |
| 15.0ms | y |
| 11.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.9% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 53.9% | 1 | z |
| 53.9% | 1 | x |
| 53.9% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64))) |
#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:
| 4.0ms | x |
| 2.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 17.4% | 1 | x |
| 17.4% | 1 | y |
| 17.4% | 1 | z |
| 17.4% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64))) |
4 calls:
| 1.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.9% | 1 | x |
| 2.9% | 1 | y |
| 2.9% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.9% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 51.0ms | 7.668799981158115e-123 | 1.8187133444353087e-99 |
| 19.0ms | -1.3937683747453794e-140 | -1.7202926731306144e-149 |
| 57.0ms | 320× | 0 | valid |
Compiled 632 to 534 computations (15.5% saved)
ival-sin: 35.0ms (72.2% of total)ival-cos: 8.0ms (16.5% of total)ival-mult: 4.0ms (8.3% of total)ival-add: 1.0ms (2.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 47.0ms | 6.1963904252611615e-22 | 8.127534341068225e-20 |
| 27.0ms | -2069971.5725616456 | -0.8238265327399078 |
| 12.0ms | -2.005765916370994e+171 | -7.798426083789536e+170 |
| 72.0ms | 336× | 0 | valid |
Compiled 764 to 598 computations (21.7% saved)
ival-cos: 50.0ms (79% of total)ival-sin: 7.0ms (11.1% of total)ival-mult: 5.0ms (7.9% of total)ival-add: 1.0ms (1.6% 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 |
|---|---|---|
| 22.0ms | 8.594245419780214e+24 | 9.439194411321643e+30 |
| 1.0ms | -2069971.5725616456 | -0.8238265327399078 |
| 16.0ms | 144× | 0 | valid |
Compiled 606 to 482 computations (20.5% saved)
ival-cos: 5.0ms (40.1% of total)ival-sin: 5.0ms (40.1% of total)ival-mult: 2.0ms (16.1% of total)ival-add: 1.0ms (8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 294 |
| 1 | 87 | 294 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(if (<=.f64 z #s(literal -8567267479843001/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 7486381177314951/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) #s(approx (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (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 -1649999999999999956232880135796068888337089723363546877171201532195623783456708056725992160391687324741146218653156770423545287001303439020961285242155680707729774155399168 binary64)) #s(approx (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 6646139978924579/83076749736557242056487941267521536 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 (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x))))) |
(if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 8599999999999999748341760 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)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(if (<=.f64 z #s(literal -8567267479843001/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 7486381177314951/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) #s(approx (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(if (<=.f64 z #s(literal -8567267479843001/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 7486381177314951/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) #s(approx (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 x (cos.f64 y))) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(if (<=.f64 y #s(literal -1649999999999999956232880135796068888337089723363546877171201532195623783456708056725992160391687324741146218653156770423545287001303439020961285242155680707729774155399168 binary64)) #s(approx (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 6646139978924579/83076749736557242056487941267521536 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 (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x))))) |
(if (<=.f64 y #s(literal -1649999999999999956232880135796068888337089723363546877171201532195623783456708056725992160391687324741146218653156770423545287001303439020961285242155680707729774155399168 binary64)) #s(approx (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 6646139978924579/83076749736557242056487941267521536 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 (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 x (cos.f64 y)))))) |
(if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 8599999999999999748341760 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 -7566047373982433/9007199254740992 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 8599999999999999748341760 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)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 589 | 2385 |
| 1 | 1949 | 2258 |
| 2 | 6841 | 2202 |
| 0 | 8853 | 2054 |
| 0 | 708 | 3613 |
| 1 | 2454 | 3401 |
| 0 | 8553 | 3229 |
| 0 | 93 | 240 |
| 1 | 295 | 236 |
| 2 | 891 | 230 |
| 3 | 2075 | 224 |
| 4 | 3736 | 224 |
| 5 | 6393 | 224 |
| 0 | 8811 | 195 |
| 0 | 33 | 145 |
| 0 | 52 | 136 |
| 1 | 181 | 136 |
| 2 | 1106 | 136 |
| 0 | 8264 | 134 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 29 | 19 |
| 2 | 185 | 19 |
| 3 | 1836 | 19 |
| 0 | 8386 | 18 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter 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 |
Compiled 592 to 238 computations (59.8% saved)
Compiled 606 to 178 computations (70.6% saved)
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