
Time bar (total: 7.9s)
| 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: 270.0ms (35% of total)ival-sin: 268.0ms (34.7% of total)ival-mult: 146.0ms (18.9% of total)ival-add: 75.0ms (9.7% of total)ival-true: 6.0ms (0.8% of total)ival-assert: 3.0ms (0.4% of total)adjust: 2.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | (*.f64 z (cos.f64 y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x (sin.f64 y)) |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | x |
| 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 |
| 78.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-cos: 36.0ms (60.1% of total)ival-sin: 12.0ms (20% of total)ival-mult: 9.0ms (15% of total)ival-add: 2.0ms (3.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 84 |
| 1 | 92 | 81 |
| 2 | 188 | 81 |
| 3 | 330 | 81 |
| 4 | 632 | 81 |
| 5 | 1450 | 81 |
| 6 | 3596 | 81 |
| 7 | 6690 | 81 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 26 | 9 |
| 2 | 47 | 9 |
| 3 | 95 | 9 |
| 4 | 188 | 9 |
| 5 | 450 | 9 |
| 6 | 1149 | 9 |
| 7 | 2603 | 9 |
| 8 | 5293 | 9 |
| 0 | 8234 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.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 (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 9 to 8 computations (11.1% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (cos.f64 y)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 x (sin.f64 y)) | |
| cost-diff | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 26 | 24 |
| 2 | 47 | 24 |
| 3 | 95 | 24 |
| 4 | 188 | 24 |
| 5 | 450 | 24 |
| 6 | 1149 | 24 |
| 7 | 2603 | 24 |
| 8 | 5293 | 24 |
| 0 | 8234 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
z |
(cos.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.00390625 | (cos.f64 y) | |
| accuracy | 0.10546875 | (*.f64 z (cos.f64 y)) | |
| accuracy | 0.1328125 | (*.f64 x (sin.f64 y)) |
| 37.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-sin: 19.0ms (65.9% of total)ival-cos: 5.0ms (17.3% of total)ival-mult: 3.0ms (10.4% of total)ival-add: 1.0ms (3.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
| Outputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 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))) |
(sin y) |
(cos y) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | z | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | x | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | x | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | y | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | y | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 288 |
| 1 | 417 | 284 |
| 2 | 1479 | 274 |
| 3 | 3945 | 272 |
| 4 | 7797 | 272 |
| 0 | 8009 | 241 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 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))) |
(sin y) |
(cos y) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
| Outputs |
|---|
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
z |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) x) (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 y x)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y) |
(+ z (* -1/2 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 (*.f64 y y) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (*.f64 z (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)))) (*.f64 y y) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(sin y) |
(sin.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 39 | 21 |
| 2 | 251 | 21 |
| 3 | 2629 | 21 |
| 0 | 8333 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z)) (-.f64 (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)))) |
(*.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (/.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (*.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))) |
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))))) |
(fma.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (*.f64 (cos.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 #s(literal 0 binary64) (sin.f64 y) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 (sin.f64 y) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(sin.f64 (+.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) |
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 y) |
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y))))) (*.f64 (cos.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
Compiled 7 595 to 796 computations (89.5% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 274 | 19 | 293 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 275 | 19 | 294 |
| Status | Accuracy | Program |
|---|---|---|
| 31.0% | (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) | |
| 35.7% | (fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) | |
| 40.7% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z)) | |
| 24.7% | (fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x)) | |
| 39.4% | (fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z)) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) x)) | |
| 59.9% | (fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) | |
| ▶ | 50.5% | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)) |
| 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) | |
| ▶ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 24.4% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) | |
| 99.7% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))))))) | |
| ▶ | 99.8% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))))) |
| ▶ | 77.3% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
| 54.0% | (+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (fma.f64 (*.f64 (*.f64 y y) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z))) | |
| 54.1% | (*.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) | |
| 50.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| 50.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) | |
| ▶ | 51.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 64.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
Compiled 920 to 516 computations (43.9% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 2 | (*.f64 #s(literal 1 binary64) (cos.f64 y)) | |
| cost-diff | 2 | (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) | |
| cost-diff | 3 | (*.f64 #s(literal 0 binary64) (sin.f64 y)) | |
| cost-diff | 7 | (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) z) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (cos.f64 y) z)) | |
| cost-diff | 7 | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 x (sin.f64 y)) | |
| cost-diff | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 y x z) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 216 |
| 0 | 56 | 143 |
| 1 | 112 | 142 |
| 2 | 242 | 142 |
| 3 | 651 | 142 |
| 4 | 2246 | 142 |
| 5 | 5619 | 142 |
| 0 | 8071 | 141 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
y |
z |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
y |
x |
z |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
z |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (*.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))) |
z |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))) |
(-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) |
(*.f64 #s(literal 0 binary64) (sin.f64 y)) |
#s(literal 0 binary64) |
#s(literal 2 binary64) |
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 y)) |
#s(literal 1 binary64) |
(cos.f64 y) |
(neg.f64 (cos.f64 y)) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(cos.f64 y) |
y |
z |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z)) |
(fma.f64 y x z) |
(fma.f64 x y z) |
y |
x |
z |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
z |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(sqrt.f64 (*.f64 (cos.f64 y) z)) |
(sqrt.f64 (*.f64 z (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
y |
z |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))) |
(*.f64 z (cos.f64 y)) |
z |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))) |
(cos.f64 y) |
(-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) |
(neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) |
#s(literal 0 binary64) |
(*.f64 #s(literal 0 binary64) (sin.f64 y)) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 2 binary64) |
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 y)) |
(cos.f64 y) |
#s(literal 1 binary64) |
(cos.f64 y) |
(neg.f64 (cos.f64 y)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05859375 | (*.f64 z (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))) | |
| accuracy | 0.0703125 | (*.f64 x (sin.f64 y)) | |
| accuracy | 0.12890625 | (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))) | |
| accuracy | 0.13738251953688402 | (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) | |
| accuracy | 0.046875 | (sqrt.f64 (*.f64 (cos.f64 y) z)) | |
| accuracy | 0.05859375 | (*.f64 (cos.f64 y) z) | |
| accuracy | 0.0703125 | (*.f64 (sin.f64 y) x) | |
| accuracy | 0.16015625 | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.05859375 | (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) | |
| accuracy | 0.0703125 | (*.f64 x (sin.f64 y)) | |
| accuracy | 13.98538779486803 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (fma.f64 y x z) | |
| accuracy | 14.93806685760415 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.00390625 | (cos.f64 y) | |
| accuracy | 0.03125 | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) | |
| accuracy | 0.0703125 | (*.f64 (sin.f64 y) x) |
| 48.0ms | 130× | 0 | valid |
| 38.0ms | 126× | 0 | invalid |
Compiled 210 to 30 computations (85.7% saved)
ival-sin: 20.0ms (32.5% of total)ival-mult: 13.0ms (21.1% of total)ival-cos: 7.0ms (11.4% of total)ival-sqrt: 7.0ms (11.4% of total)ival-add: 6.0ms (9.7% of total)ival-pow2: 5.0ms (8.1% of total)ival-div: 2.0ms (3.2% of total)ival-sub: 1.0ms (1.6% of total)ival-neg: 1.0ms (1.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(*.f64 x (sin.f64 y)) |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (*.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) z) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))) |
(*.f64 #s(literal 0 binary64) (sin.f64 y)) |
(pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 y)) |
#s(approx (cos y) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) |
(*.f64 z (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))) |
| Outputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
z |
(+ z (* x y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
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 (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(sqrt z) |
(+ (sqrt z) (* -1/4 (* (pow y 2) (sqrt z)))) |
(+ (sqrt z) (* (pow y 2) (+ (* -1/4 (sqrt z)) (* 1/2 (* (* (pow y 2) (- (* 1/24 z) (* 1/16 z))) (sqrt (/ 1 z))))))) |
(+ (sqrt z) (* (pow y 2) (+ (* -1/4 (sqrt z)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (- (* 1/24 z) (* 1/16 z)))) (* 1/2 (* (* (pow y 2) (- (* -1/720 z) (* -1/4 (- (* 1/24 z) (* 1/16 z))))) (sqrt (/ 1 z))))))))) |
0 |
(+ 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))) |
(cos y) |
(sin y) |
(* y (+ x (/ z y))) |
(sqrt (* z (cos y))) |
(pow (cos y) 2) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (* (cos y) (pow (sqrt -1) 2)))) |
(* -1 (* z (+ (* -1 (/ (* x (sin y)) z)) (* (cos y) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt (* z (cos y))) (pow (sqrt -1) 2))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | z | @ | inf | ((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (sqrt (* (cos y) z)) (* (cos y) z) (/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y))) (* 0 (sin y)) (pow (* 0 (sin y)) 2) (* 1 (cos y)) (cos y) (pow (* 1 (cos y)) 2) (* z (/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y))))) |
| 2.0ms | z | @ | -inf | ((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (sqrt (* (cos y) z)) (* (cos y) z) (/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y))) (* 0 (sin y)) (pow (* 0 (sin y)) 2) (* 1 (cos y)) (cos y) (pow (* 1 (cos y)) 2) (* z (/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y))))) |
| 2.0ms | y | @ | 0 | ((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (sqrt (* (cos y) z)) (* (cos y) z) (/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y))) (* 0 (sin y)) (pow (* 0 (sin y)) 2) (* 1 (cos y)) (cos y) (pow (* 1 (cos y)) 2) (* z (/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y))))) |
| 1.0ms | y | @ | -inf | ((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (sqrt (* (cos y) z)) (* (cos y) z) (/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y))) (* 0 (sin y)) (pow (* 0 (sin y)) 2) (* 1 (cos y)) (cos y) (pow (* 1 (cos y)) 2) (* z (/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y))))) |
| 1.0ms | x | @ | -inf | ((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (sqrt (* (cos y) z)) (* (cos y) z) (/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y))) (* 0 (sin y)) (pow (* 0 (sin y)) 2) (* 1 (cos y)) (cos y) (pow (* 1 (cos y)) 2) (* z (/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 189 | 496 |
| 1 | 695 | 483 |
| 2 | 2523 | 468 |
| 3 | 6952 | 468 |
| 0 | 8393 | 426 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
z |
(+ z (* x y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
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 (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(sqrt z) |
(+ (sqrt z) (* -1/4 (* (pow y 2) (sqrt z)))) |
(+ (sqrt z) (* (pow y 2) (+ (* -1/4 (sqrt z)) (* 1/2 (* (* (pow y 2) (- (* 1/24 z) (* 1/16 z))) (sqrt (/ 1 z))))))) |
(+ (sqrt z) (* (pow y 2) (+ (* -1/4 (sqrt z)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (- (* 1/24 z) (* 1/16 z)))) (* 1/2 (* (* (pow y 2) (- (* -1/720 z) (* -1/4 (- (* 1/24 z) (* 1/16 z))))) (sqrt (/ 1 z))))))))) |
0 |
(+ 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))) |
(cos y) |
(sin y) |
(* y (+ x (/ z y))) |
(sqrt (* z (cos y))) |
(pow (cos y) 2) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (* (cos y) (pow (sqrt -1) 2)))) |
(* -1 (* z (+ (* -1 (/ (* x (sin y)) z)) (* (cos y) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt (* z (cos y))) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x y) |
(*.f64 x y) |
(* x (+ y (/ z x))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 x y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y) |
(+ z (* -1/2 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) |
(sqrt z) |
(sqrt.f64 z) |
(+ (sqrt z) (* -1/4 (* (pow y 2) (sqrt z)))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (sqrt.f64 z)) |
(+ (sqrt z) (* (pow y 2) (+ (* -1/4 (sqrt z)) (* 1/2 (* (* (pow y 2) (- (* 1/24 z) (* 1/16 z))) (sqrt (/ 1 z))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 z))) (*.f64 y y) (sqrt.f64 z)) |
(+ (sqrt z) (* (pow y 2) (+ (* -1/4 (sqrt z)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (- (* 1/24 z) (* 1/16 z)))) (* 1/2 (* (* (pow y 2) (- (* -1/720 z) (* -1/4 (- (* 1/24 z) (* 1/16 z))))) (sqrt (/ 1 z))))))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 z #s(literal -19/2880 binary64)) y) y (*.f64 #s(literal -1/48 binary64) z))) (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (sqrt.f64 z))) |
0 |
#s(literal 0 binary64) |
(+ 1 (* -1 (pow y 2))) |
(fma.f64 (neg.f64 y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -2/45 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(sin y) |
(sin.f64 y) |
(* y (+ x (/ z y))) |
(*.f64 (+.f64 (/.f64 z y) x) y) |
(sqrt (* z (cos y))) |
(sqrt.f64 (*.f64 (cos.f64 y) z)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(*.f64 (+.f64 (/.f64 z y) x) y) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ 1 (/ (* x y) z))) |
(fma.f64 (*.f64 z x) (/.f64 y z) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64))) |
(* -1 (* z (* (cos y) (pow (sqrt -1) 2)))) |
(*.f64 (cos.f64 y) z) |
(* -1 (* z (+ (* -1 (/ (* x (sin y)) z)) (* (cos y) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* -1 (* (sqrt (* z (cos y))) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 (cos.f64 y) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 139 |
| 0 | 54 | 89 |
| 1 | 214 | 89 |
| 2 | 1225 | 89 |
| 0 | 8715 | 88 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(*.f64 x (sin.f64 y)) |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (*.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) z) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))) |
(*.f64 #s(literal 0 binary64) (sin.f64 y)) |
(pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 y)) |
#s(approx (cos y) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) |
(*.f64 z (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (*.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (+.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 x) (sin.f64 y)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) x) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) x))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (fma.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (neg.f64 x) (sin.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) x) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) x)) (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y))) (*.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) (neg.f64 (*.f64 x (sin.f64 y)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) (neg.f64 (*.f64 x (sin.f64 y))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
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(sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64))) |
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(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 5 binary64))) (cos.f64 y)) |
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(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (cos.f64 y)) (cos.f64 y)) |
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (cos.f64 y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 y))) |
(-.f64 #s(literal 0 binary64) (cos.f64 y)) |
(-.f64 (cos.f64 y) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64))) |
(-.f64 (cos.f64 y) #s(literal 0 binary64)) |
(fabs.f64 (cos.f64 y)) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) y)))) |
(cos.f64 (neg.f64 (+.f64 (neg.f64 y) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 y)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) y)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 y) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (neg.f64 (neg.f64 y)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (PI.f64))) |
(cos.f64 (neg.f64 (neg.f64 y))) |
(cos.f64 (neg.f64 (+.f64 (PI.f64) y))) |
(cos.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 y) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 (+.f64 (PI.f64) y)) |
(cos.f64 y) |
(exp.f64 (-.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (log.f64 (cos.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (cos.f64 y))) |
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(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (cos.f64 y)) |
(+.f64 (cosh.f64 (log.f64 (cos.f64 y))) (sinh.f64 (log.f64 (cos.f64 y)))) |
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(+.f64 (cos.f64 y) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64))) |
(+.f64 (cos.f64 y) #s(literal 0 binary64)) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 1/2 binary64))) |
(pow.f64 (sin.f64 y) #s(literal 1 binary64)) |
(sin.f64 y) |
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z)) |
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(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) (/.f64 z #s(literal -1 binary64))) |
(*.f64 (cos.f64 y) (/.f64 z #s(literal 1 binary64))) |
(*.f64 (cos.f64 y) (fabs.f64 (*.f64 #s(literal 1 binary64) z))) |
(*.f64 (cos.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64))) |
(*.f64 (cos.f64 y) (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (cos.f64 y) (*.f64 #s(literal 1 binary64) z)) |
(*.f64 (cos.f64 y) (neg.f64 z)) |
(*.f64 (cos.f64 y) z) |
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) (cos.f64 y)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (cos.f64 y)) |
(/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (cos.f64 y)) |
(neg.f64 (*.f64 z (cos.f64 y))) |
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 z (cos.f64 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (*.f64 z (cos.f64 y)))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 z (cos.f64 y)))) (sinh.f64 (log.f64 (*.f64 z (cos.f64 y))))) |
Compiled 40 532 to 5 568 computations (86.3% saved)
26 alts after pruning (23 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 434 | 16 | 1 450 |
| Fresh | 7 | 7 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 443 | 26 | 1 469 |
| Status | Accuracy | Program |
|---|---|---|
| 50.4% | (fma.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)) | |
| 31.0% | (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) | |
| 99.7% | (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) | |
| 99.4% | (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (cos.f64 y))) z (*.f64 (sin.f64 y) x)) | |
| 99.8% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z (*.f64 (sin.f64 y) x)) | |
| 40.7% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z)) | |
| 24.7% | (fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x)) | |
| ▶ | 39.4% | (fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z)) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
| 59.9% | (fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) | |
| ✓ | 50.5% | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)) |
| ▶ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 77.3% | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| 51.6% | (fma.f64 (cos.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 x (sin.f64 y))) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 54.0% | (+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (fma.f64 (*.f64 (*.f64 y y) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z))) | |
| 91.4% | #s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) | |
| 64.3% | #s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z)) | |
| ▶ | 50.3% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
| 50.4% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) | |
| ▶ | 88.3% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
| 27.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))) | |
| ✓ | 51.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 45.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) | |
| 45.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) | |
| 50.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64))))) | |
| ▶ | 12.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
Compiled 953 to 630 computations (33.9% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (cos.f64 y) z) | |
| cost-diff | 0 | (*.f64 (*.f64 (cos.f64 y) z) z) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z)) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z)) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | (/.f64 (cos.f64 y) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) | |
| cost-diff | 2 | (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) | |
| cost-diff | 0 | #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (+ (* y x) z) (*.f64 x y)) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) z) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 215 |
| 0 | 60 | 210 |
| 1 | 105 | 210 |
| 2 | 216 | 210 |
| 3 | 550 | 210 |
| 4 | 1392 | 210 |
| 5 | 3348 | 208 |
| 6 | 5497 | 208 |
| 0 | 8053 | 206 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
y |
x |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* y x) z) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) |
#s(literal -1/6 binary64) |
(*.f64 x y) |
x |
y |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
z |
(sin.f64 y) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z)) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z)) |
(*.f64 (*.f64 (cos.f64 y) z) z) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
(sqrt.f64 (cos.f64 y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(sin.f64 y) |
y |
x |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* y x) z) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) |
#s(literal -1/6 binary64) |
(*.f64 x y) |
x |
y |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
z |
(sin.f64 y) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z)) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (*.f64 z (cos.f64 y)) z)) (*.f64 x (sin.f64 y))) |
(sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z)) |
(sqrt.f64 (*.f64 (*.f64 z (cos.f64 y)) z)) |
(*.f64 (*.f64 (cos.f64 y) z) z) |
(*.f64 (*.f64 z (cos.f64 y)) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
y |
z |
(sqrt.f64 (cos.f64 y)) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.046875 | (fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z)) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) x)) | |
| accuracy | 0.05078125 | (*.f64 (cos.f64 y) z) | |
| accuracy | 0.0625 | (*.f64 (sin.f64 y) x) | |
| accuracy | 19.821019718941887 | (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z)) | |
| accuracy | 0.00390625 | (cos.f64 y) | |
| accuracy | 0.06640625 | (/.f64 (cos.f64 y) x) | |
| accuracy | 0.13671875 | (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) | |
| accuracy | 5.478328007590763 | (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) | |
| accuracy | 0.015625 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) | |
| accuracy | 0.0234375 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) | |
| accuracy | 0.0703125 | (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) | |
| accuracy | 16.16765537598987 | #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 15.24371921137297 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) | |
| accuracy | 29.63316401555645 | #s(approx (+ (* y x) z) (*.f64 x y)) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.00390625 | (cos.f64 y) | |
| accuracy | 0.0234375 | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) | |
| accuracy | 0.05078125 | (*.f64 (cos.f64 y) z) |
| 110.0ms | 191× | 0 | valid |
| 20.0ms | 65× | 0 | invalid |
Compiled 187 to 35 computations (81.3% saved)
ival-mult: 79.0ms (70.9% of total)ival-add: 10.0ms (9% of total)ival-sin: 7.0ms (6.3% of total)ival-cos: 6.0ms (5.4% of total)const: 4.0ms (3.6% of total)ival-sqrt: 3.0ms (2.7% of total)ival-div: 2.0ms (1.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* y x) z) (*.f64 x y)) |
(*.f64 x y) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(/.f64 (cos.f64 y) x) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z)) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z)) |
(*.f64 (*.f64 (cos.f64 y) z) z) |
(*.f64 (sin.f64 y) x) |
| Outputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(* x y) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1/2 (* y z)) |
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2))))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(/ (* z (cos y)) x) |
(/ (+ (* x (sin y)) (* z (cos y))) x) |
(/ (cos y) x) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ y (/ z x))) |
(* x (* y (+ 1 (* -1/6 (pow y 2))))) |
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))) |
(* -1/6 (* x y)) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(sin y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1))) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
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 (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 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))) |
x |
(+ x (* -1/2 (* y z))) |
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))) |
(/ z x) |
(+ y (/ z x)) |
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x)) |
(/ 1 x) |
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(+ z (* -1/4 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/4 z) (* -1/96 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/4 z) (* (pow y 2) (+ (* -1/96 z) (* -19/5760 (* (pow y 2) z))))))) |
(pow z 2) |
(+ (* -1/2 (* (pow y 2) (pow z 2))) (pow z 2)) |
(+ (* (pow y 2) (+ (* -1/2 (pow z 2)) (* 1/24 (* (pow y 2) (pow z 2))))) (pow z 2)) |
(+ (* (pow y 2) (+ (* -1/2 (pow z 2)) (* (pow y 2) (+ (* -1/720 (* (pow y 2) (pow z 2))) (* 1/24 (pow z 2)))))) (pow z 2)) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(cos y) |
(* y (+ x (/ z y))) |
(* -1/6 (* x (pow y 3))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3)))))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(* y (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* z (sqrt (cos y))) |
(* (pow z 2) (cos y)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x))) |
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))) |
(* z (- (* -1/6 (/ (* x y) z)) 1/2)) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y)))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (cos y))) |
(* -1 (* z (+ (cos y) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (sqrt (cos y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | x | @ | 0 | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* (cos y) z) (* (sin y) x)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (+ (* -1/6 (* x y)) (* -1/2 z)) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (cos y) z) (* (sin y) x)) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (+ (* (sqrt (* (* (cos y) z) z)) (sqrt (cos y))) (* (sin y) x)) (sqrt (* (* (cos y) z) z)) (* (* (cos y) z) z) (* (sin y) x)) |
| 19.0ms | y | @ | -inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* (cos y) z) (* (sin y) x)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (+ (* -1/6 (* x y)) (* -1/2 z)) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (cos y) z) (* (sin y) x)) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (+ (* (sqrt (* (* (cos y) z) z)) (sqrt (cos y))) (* (sin y) x)) (sqrt (* (* (cos y) z) z)) (* (* (cos y) z) z) (* (sin y) x)) |
| 6.0ms | x | @ | -inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* (cos y) z) (* (sin y) x)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (+ (* -1/6 (* x y)) (* -1/2 z)) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (cos y) z) (* (sin y) x)) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (+ (* (sqrt (* (* (cos y) z) z)) (sqrt (cos y))) (* (sin y) x)) (sqrt (* (* (cos y) z) z)) (* (* (cos y) z) z) (* (sin y) x)) |
| 3.0ms | y | @ | inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* (cos y) z) (* (sin y) x)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (+ (* -1/6 (* x y)) (* -1/2 z)) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (cos y) z) (* (sin y) x)) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (+ (* (sqrt (* (* (cos y) z) z)) (sqrt (cos y))) (* (sin y) x)) (sqrt (* (* (cos y) z) z)) (* (* (cos y) z) z) (* (sin y) x)) |
| 3.0ms | z | @ | -inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* (cos y) z) (* (sin y) x)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (+ (* -1/6 (* x y)) (* -1/2 z)) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (cos y) z) (* (sin y) x)) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (+ (* (sqrt (* (* (cos y) z) z)) (sqrt (cos y))) (* (sin y) x)) (sqrt (* (* (cos y) z) z)) (* (* (cos y) z) z) (* (sin y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 332 | 1257 |
| 1 | 1248 | 1191 |
| 2 | 4851 | 1178 |
| 0 | 8411 | 1068 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(* x y) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1/2 (* y z)) |
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2))))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(/ (* z (cos y)) x) |
(/ (+ (* x (sin y)) (* z (cos y))) x) |
(/ (cos y) x) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ y (/ z x))) |
(* x (* y (+ 1 (* -1/6 (pow y 2))))) |
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))) |
(* -1/6 (* x y)) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(sin y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1))) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
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 (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 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))) |
x |
(+ x (* -1/2 (* y z))) |
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))) |
(/ z x) |
(+ y (/ z x)) |
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x)) |
(/ 1 x) |
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(+ z (* -1/4 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/4 z) (* -1/96 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/4 z) (* (pow y 2) (+ (* -1/96 z) (* -19/5760 (* (pow y 2) z))))))) |
(pow z 2) |
(+ (* -1/2 (* (pow y 2) (pow z 2))) (pow z 2)) |
(+ (* (pow y 2) (+ (* -1/2 (pow z 2)) (* 1/24 (* (pow y 2) (pow z 2))))) (pow z 2)) |
(+ (* (pow y 2) (+ (* -1/2 (pow z 2)) (* (pow y 2) (+ (* -1/720 (* (pow y 2) (pow z 2))) (* 1/24 (pow z 2)))))) (pow z 2)) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(cos y) |
(* y (+ x (/ z y))) |
(* -1/6 (* x (pow y 3))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3)))))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(* y (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* z (sqrt (cos y))) |
(* (pow z 2) (cos y)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x))) |
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))) |
(* z (- (* -1/6 (/ (* x y) z)) 1/2)) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y)))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (cos y))) |
(* -1 (* z (+ (cos y) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (sqrt (cos y)))) |
| Outputs |
|---|
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(* x y) |
(*.f64 x y) |
(+ z (* -1/2 (* (pow y 2) z))) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x z)) |
(* -1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal -1/2 binary64)) |
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) |
(/ (* z (cos y)) x) |
(/.f64 (*.f64 (cos.f64 y) z) x) |
(/ (+ (* x (sin y)) (* z (cos y))) x) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ y (/ z x))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* x (* y (+ 1 (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) |
(* -1/6 (* x y)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x y)) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) x) |
(sin y) |
(sin.f64 y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(*.f64 (*.f64 (neg.f64 y) x) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(*.f64 (neg.f64 x) (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal -1 binary64)) z) x))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 z x) (*.f64 #s(literal 1/6 binary64) y)) y) #s(literal 1 binary64))) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) x) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) y) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
x |
(+ x (* -1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) |
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(/ z x) |
(/.f64 z x) |
(+ y (/ z x)) |
(+.f64 (/.f64 z x) y) |
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x)) |
(+.f64 y (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) x)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 z x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal -1/720 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) x)) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) |
(+ z (* -1/4 (* (pow y 2) z))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/4 z) (* -1/96 (* (pow y 2) z))))) |
(fma.f64 (*.f64 z (fma.f64 #s(literal -1/96 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (*.f64 y y) z) |
(+ z (* (pow y 2) (+ (* -1/4 z) (* (pow y 2) (+ (* -1/96 z) (* -19/5760 (* (pow y 2) z))))))) |
(fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -19/5760 binary64) (*.f64 y y) #s(literal -1/96 binary64))) (*.f64 y y) (*.f64 #s(literal -1/4 binary64) z)) (*.f64 y y) z) |
(pow z 2) |
(*.f64 z z) |
(+ (* -1/2 (* (pow y 2) (pow z 2))) (pow z 2)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 z z)) |
(+ (* (pow y 2) (+ (* -1/2 (pow z 2)) (* 1/24 (* (pow y 2) (pow z 2))))) (pow z 2)) |
(fma.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) (*.f64 z z)) |
(+ (* (pow y 2) (+ (* -1/2 (pow z 2)) (* (pow y 2) (+ (* -1/720 (* (pow y 2) (pow z 2))) (* 1/24 (pow z 2)))))) (pow z 2)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 z z) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))))) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x y)) |
(cos y) |
(cos.f64 y) |
(* y (+ x (/ z y))) |
(*.f64 (+.f64 (/.f64 z y) x) y) |
(* -1/6 (* x (pow y 3))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/6 binary64)) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3)))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) x) y)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(*.f64 (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y) y) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) (*.f64 y y)) |
(* y (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y) |
(* z (sqrt (cos y))) |
(*.f64 (sqrt.f64 (cos.f64 y)) z) |
(* (pow z 2) (cos y)) |
(*.f64 (*.f64 (cos.f64 y) z) z) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(*.f64 (+.f64 (/.f64 z y) x) y) |
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x)))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) x) y)) (neg.f64 y)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) (*.f64 y y)) |
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x z)) |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ 1 (/ (* x y) z))) |
(fma.f64 (*.f64 z x) (/.f64 y z) z) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) z)) z z) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) z)) z) |
(* z (- (* -1/6 (/ (* x y) z)) 1/2)) |
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) z) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal 1 binary64))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(*.f64 (neg.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) (neg.f64 z)) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) z)) z) |
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) z) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) z) |
(* -1 (* z (cos y))) |
(*.f64 (neg.f64 z) (cos.f64 y)) |
(* -1 (* z (+ (cos y) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y))) z) |
(* -1 (* z (sqrt (cos y)))) |
(*.f64 (neg.f64 z) (sqrt.f64 (cos.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 178 |
| 0 | 60 | 168 |
| 1 | 222 | 168 |
| 2 | 1451 | 167 |
| 0 | 8493 | 165 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* y x) z) (*.f64 x y)) |
(*.f64 x y) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(/.f64 (cos.f64 y) x) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z)) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z)) |
(*.f64 (*.f64 (cos.f64 y) z) z) |
(*.f64 (sin.f64 y) x) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) x) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) x))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (*.f64 (fabs.f64 z) (sqrt.f64 (cos.f64 y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (*.f64 (fabs.f64 z) (sqrt.f64 (cos.f64 y)))) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (*.f64 (fabs.f64 z) (sqrt.f64 (cos.f64 y)))) (*.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (*.f64 (fabs.f64 z) (sqrt.f64 (cos.f64 y)))))))) |
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(*.f64 (fabs.f64 z) (sqrt.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (fabs.f64 z)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (*.f64 z (cos.f64 y)) z))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 z (cos.f64 y)) z) (*.f64 (*.f64 z (cos.f64 y)) z)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) z) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 z (cos.f64 y)) z) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 z (cos.f64 y)) z)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 z (cos.f64 y)) z)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (*.f64 z (cos.f64 y)) z)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (*.f64 z (cos.f64 y)) z)) #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (*.f64 (fabs.f64 z) (sqrt.f64 (cos.f64 y)))) (fabs.f64 (*.f64 (fabs.f64 z) (sqrt.f64 (cos.f64 y))))) |
(*.f64 (neg.f64 (*.f64 (fabs.f64 z) (sqrt.f64 (cos.f64 y)))) (neg.f64 (*.f64 (fabs.f64 z) (sqrt.f64 (cos.f64 y))))) |
(*.f64 (*.f64 z z) (cos.f64 y)) |
(*.f64 (*.f64 (fabs.f64 z) (sqrt.f64 (cos.f64 y))) (*.f64 (fabs.f64 z) (sqrt.f64 (cos.f64 y)))) |
(*.f64 (*.f64 z (cos.f64 y)) z) |
(*.f64 z (*.f64 z (cos.f64 y))) |
(*.f64 (cos.f64 y) (*.f64 z z)) |
(pow.f64 (*.f64 (*.f64 (*.f64 z (cos.f64 y)) z) (*.f64 (*.f64 z (cos.f64 y)) z)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (fabs.f64 z) (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 z (cos.f64 y)) z) #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 z (cos.f64 y)) z) (*.f64 (*.f64 z (cos.f64 y)) z))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 (*.f64 z (cos.f64 y)) z)) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (*.f64 z (cos.f64 y)) z)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 z (cos.f64 y)) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
Compiled 21 950 to 2 280 computations (89.6% saved)
34 alts after pruning (30 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 601 | 17 | 618 |
| Fresh | 5 | 13 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 610 | 34 | 644 |
| Status | Accuracy | Program |
|---|---|---|
| 50.4% | (fma.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)) | |
| 31.0% | (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) | |
| 99.7% | (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) | |
| 99.4% | (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (cos.f64 y))) z (*.f64 (sin.f64 y) x)) | |
| ▶ | 99.8% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z (*.f64 (sin.f64 y) x)) |
| ▶ | 40.7% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z)) |
| 24.7% | (fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x)) | |
| 59.9% | (fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) | |
| 50.5% | (fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 54.0% | (fma.f64 (sin.f64 y) x #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) | |
| 51.6% | (fma.f64 (cos.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 x (sin.f64 y))) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 74.5% | (fma.f64 #s(approx (sqrt (* (* (cos y) z) z)) (*.f64 (sqrt.f64 (cos.f64 y)) z)) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) x)) | |
| 91.4% | #s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) | |
| ▶ | 64.3% | #s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z)) |
| 50.4% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z)) | |
| ▶ | 50.4% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z)) |
| 25.3% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) (*.f64 y y))) y z)) | |
| 41.3% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z)) | |
| 41.3% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) | |
| 62.5% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)))) | |
| 88.4% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) | |
| 44.1% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 z x))) x)) | |
| 36.9% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) | |
| 45.4% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x)) | |
| 37.6% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (sin.f64 y)) x)) | |
| ▶ | 41.3% | #s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) |
| 12.1% | #s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))))) | |
| 41.3% | #s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64))))) | |
| 27.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))) | |
| ✓ | 51.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 50.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64))))) | |
| ✓ | 12.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
Compiled 1 585 to 1 035 computations (34.7% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (sin.f64 y) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) z) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z)) | |
| cost-diff | 0 | #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z) | |
| cost-diff | 0 | #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z)) | |
| cost-diff | 0 | (*.f64 (*.f64 y y) z) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)) | |
| cost-diff | 0 | #s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z (*.f64 (sin.f64 y) x)) | |
| cost-diff | 7 | (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 297 |
| 0 | 75 | 283 |
| 1 | 139 | 281 |
| 2 | 352 | 273 |
| 3 | 1038 | 273 |
| 4 | 4591 | 273 |
| 0 | 8338 | 263 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z (*.f64 (sin.f64 y) x)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (cos.f64 y)) |
#s(literal 1 binary64) |
z |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) |
(*.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
#s(literal -1/2 binary64) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z)) |
(fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z) |
(fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) |
#s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x y)) |
#s(literal -1/6 binary64) |
(*.f64 x y) |
x |
y |
z |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z)) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
x |
(sqrt.f64 x) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
z |
| Outputs |
|---|
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) |
(cos.f64 y) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (cos.f64 y)) |
#s(literal 1 binary64) |
z |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) |
(*.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
#s(literal -1/2 binary64) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) y x) y z)) |
(fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z) |
(fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) y x) y z) |
(fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) |
(fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) y x) |
#s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) |
#s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x y)) |
(*.f64 (*.f64 x y) #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 x y) |
x |
y |
z |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 z (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
y |
z |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (*.f64 z (cos.f64 y))) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
x |
(sqrt.f64 x) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.04296875 | (*.f64 (cos.f64 y) z) | |
| accuracy | 0.08041000976844202 | (pow.f64 (sin.f64 y) #s(literal 2 binary64)) | |
| accuracy | 0.7716802177555053 | (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) | |
| accuracy | 3.9422714286381346 | (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) | |
| accuracy | 0.00390625 | (cos.f64 y) | |
| accuracy | 0.04296875 | (*.f64 (cos.f64 y) z) | |
| accuracy | 6.482397377981924 | #s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z)) | |
| accuracy | 0.0234375 | (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z) | |
| accuracy | 0.078125 | (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) | |
| accuracy | 8.246018730241648 | #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z)) | |
| accuracy | 8.812086401871591 | #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 3.081797817688523 | (*.f64 (*.f64 y y) z) | |
| accuracy | 6.979366224774414 | #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)) | |
| accuracy | 8.246018730241648 | #s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) | |
| accuracy | 0.0390625 | (/.f64 #s(literal 1 binary64) (cos.f64 y)) | |
| accuracy | 0.0390625 | (*.f64 (sin.f64 y) x) | |
| accuracy | 0.05078125 | (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) | |
| accuracy | 0.0703125 | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
| 94.0ms | 186× | 0 | invalid |
| 29.0ms | 70× | 0 | valid |
Compiled 224 to 40 computations (82.1% saved)
ival-mult: 50.0ms (52.7% of total)ival-add: 9.0ms (9.5% of total)ival-sqrt: 9.0ms (9.5% of total)ival-cos: 7.0ms (7.4% of total)ival-sin: 6.0ms (6.3% of total)const: 6.0ms (6.3% of total)ival-pow2: 5.0ms (5.3% of total)ival-div: 2.0ms (2.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z (*.f64 (sin.f64 y) x)) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) |
(*.f64 (*.f64 y y) z) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z)) |
(fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z) |
(fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) |
#s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) z) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z)) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) x) |
(/.f64 #s(literal 1 binary64) (cos.f64 y)) |
(*.f64 y y) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x y)) |
| Outputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1/2 (* y z)) |
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2))))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(* (sqrt x) (sin y)) |
(* x (pow (sin y) 2)) |
(* x (sin y)) |
(* -1/6 (* x y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (* y (+ 1 (* -1/6 (pow y 2))))) |
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1))) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(* -1 (* x (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt x) (* (sin y) (pow (sqrt -1) 2)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(+ 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))) |
(* (pow y 2) z) |
x |
(+ x (* -1/2 (* y z))) |
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* -1/6 (* (sqrt x) (pow y 2))))) |
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* 1/120 (* (sqrt x) (pow y 2))))))) |
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* (pow y 2) (+ (* -1/5040 (* (sqrt x) (pow y 2))) (* 1/120 (sqrt x)))))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2))))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x))))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(+ 1 (* 1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/2 (* 5/24 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2))))))) |
(cos y) |
(pow (cos y) 2) |
(* -1/6 (* x (pow y 3))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3)))))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(* y (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(pow (sin y) 2) |
(/ 1 (cos y)) |
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x))) |
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))) |
(* z (- (* -1/6 (/ (* x y) z)) 1/2)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y)))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z))))) |
(* -1 (* z (* (cos y) (pow (sqrt -1) 2)))) |
(* -1 (* z (+ (* -1 (/ (* x (sin y)) z)) (* (cos y) (pow (sqrt -1) 2))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | x | @ | -inf | ((* (pow (cos y) 2) (/ 1 (cos y))) (+ (* (* (pow (cos y) 2) (/ 1 (cos y))) z) (* (sin y) x)) (pow (cos y) 2) (cos y) (+ (* (cos y) z) (* (sin y) x)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (* (* y y) z) -1/2) z) (* (* y y) z) (+ (* (cos y) z) (* (sin y) x)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (+ (* -1/6 (* x y)) (* -1/2 z)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (* (cos y) z) (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (pow (sin y) 2) x)) (* (pow (sin y) 2) x) (pow (sin y) 2) (* (sin y) x) (/ 1 (cos y)) (* y y) (* -1/6 (* x y))) |
| 8.0ms | y | @ | inf | ((* (pow (cos y) 2) (/ 1 (cos y))) (+ (* (* (pow (cos y) 2) (/ 1 (cos y))) z) (* (sin y) x)) (pow (cos y) 2) (cos y) (+ (* (cos y) z) (* (sin y) x)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (* (* y y) z) -1/2) z) (* (* y y) z) (+ (* (cos y) z) (* (sin y) x)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (+ (* -1/6 (* x y)) (* -1/2 z)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (* (cos y) z) (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (pow (sin y) 2) x)) (* (pow (sin y) 2) x) (pow (sin y) 2) (* (sin y) x) (/ 1 (cos y)) (* y y) (* -1/6 (* x y))) |
| 3.0ms | y | @ | -inf | ((* (pow (cos y) 2) (/ 1 (cos y))) (+ (* (* (pow (cos y) 2) (/ 1 (cos y))) z) (* (sin y) x)) (pow (cos y) 2) (cos y) (+ (* (cos y) z) (* (sin y) x)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (* (* y y) z) -1/2) z) (* (* y y) z) (+ (* (cos y) z) (* (sin y) x)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (+ (* -1/6 (* x y)) (* -1/2 z)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (* (cos y) z) (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (pow (sin y) 2) x)) (* (pow (sin y) 2) x) (pow (sin y) 2) (* (sin y) x) (/ 1 (cos y)) (* y y) (* -1/6 (* x y))) |
| 3.0ms | z | @ | -inf | ((* (pow (cos y) 2) (/ 1 (cos y))) (+ (* (* (pow (cos y) 2) (/ 1 (cos y))) z) (* (sin y) x)) (pow (cos y) 2) (cos y) (+ (* (cos y) z) (* (sin y) x)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (* (* y y) z) -1/2) z) (* (* y y) z) (+ (* (cos y) z) (* (sin y) x)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (+ (* -1/6 (* x y)) (* -1/2 z)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (* (cos y) z) (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (pow (sin y) 2) x)) (* (pow (sin y) 2) x) (pow (sin y) 2) (* (sin y) x) (/ 1 (cos y)) (* y y) (* -1/6 (* x y))) |
| 3.0ms | x | @ | 0 | ((* (pow (cos y) 2) (/ 1 (cos y))) (+ (* (* (pow (cos y) 2) (/ 1 (cos y))) z) (* (sin y) x)) (pow (cos y) 2) (cos y) (+ (* (cos y) z) (* (sin y) x)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (* (* y y) z) -1/2) z) (* (* y y) z) (+ (* (cos y) z) (* (sin y) x)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (+ (* -1/6 (* x y)) (* -1/2 z)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (* (cos y) z) (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (pow (sin y) 2) x)) (* (pow (sin y) 2) x) (pow (sin y) 2) (* (sin y) x) (/ 1 (cos y)) (* y y) (* -1/6 (* x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 335 | 1201 |
| 1 | 1260 | 1165 |
| 2 | 4943 | 1152 |
| 0 | 8377 | 1046 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1/2 (* y z)) |
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2))))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(* (sqrt x) (sin y)) |
(* x (pow (sin y) 2)) |
(* x (sin y)) |
(* -1/6 (* x y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (* y (+ 1 (* -1/6 (pow y 2))))) |
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1))) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(* -1 (* x (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt x) (* (sin y) (pow (sqrt -1) 2)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(+ 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))) |
(* (pow y 2) z) |
x |
(+ x (* -1/2 (* y z))) |
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* -1/6 (* (sqrt x) (pow y 2))))) |
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* 1/120 (* (sqrt x) (pow y 2))))))) |
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* (pow y 2) (+ (* -1/5040 (* (sqrt x) (pow y 2))) (* 1/120 (sqrt x)))))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2))))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x))))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(+ 1 (* 1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/2 (* 5/24 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2))))))) |
(cos y) |
(pow (cos y) 2) |
(* -1/6 (* x (pow y 3))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3)))))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(* y (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(pow (sin y) 2) |
(/ 1 (cos y)) |
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x))) |
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))) |
(* z (- (* -1/6 (/ (* x y) z)) 1/2)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y)))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z))))) |
(* -1 (* z (* (cos y) (pow (sqrt -1) 2)))) |
(* -1 (* z (+ (* -1 (/ (* x (sin y)) z)) (* (cos y) (pow (sqrt -1) 2))))) |
| Outputs |
|---|
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ z (* -1/2 (* (pow y 2) z))) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x z)) |
(* -1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal -1/2 binary64)) |
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) y x) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(fma.f64 #s(literal -1/2 binary64) z (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) |
(* (sqrt x) (sin y)) |
(*.f64 (sqrt.f64 x) (sin.f64 y)) |
(* x (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1/6 (* x y)) |
(*.f64 (*.f64 x y) #s(literal -1/6 binary64)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (* y (+ 1 (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) x) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(*.f64 (*.f64 (neg.f64 y) x) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(*.f64 (neg.f64 x) (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) z) y (neg.f64 z)) x))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z x) y) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) x) |
(* -1 (* x (* (sin y) (pow (sqrt -1) 2)))) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* (sqrt x) (* (sin y) (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) (sin.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) y x) y z) |
(+ 1 (* -1 (pow y 2))) |
(fma.f64 (neg.f64 y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 y y) #s(literal 1/3 binary64)) y) y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) z) |
(*.f64 (*.f64 y y) z) |
x |
(+ x (* -1/2 (* y z))) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) |
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) y x) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) y) y (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (* -1/6 (* (sqrt x) (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) y) y) #s(literal -1/6 binary64) (sqrt.f64 x)) y) |
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* 1/120 (* (sqrt x) (pow y 2))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (sqrt.f64 x) y) y) (*.f64 (sqrt.f64 x) #s(literal -1/6 binary64))) (*.f64 (sqrt.f64 x) y)) |
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* (pow y 2) (+ (* -1/5040 (* (sqrt x) (pow y 2))) (* 1/120 (sqrt x)))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (sqrt.f64 x) y) y) (*.f64 #s(literal 1/120 binary64) (sqrt.f64 x))) y) y (*.f64 (sqrt.f64 x) #s(literal -1/6 binary64))) (*.f64 (sqrt.f64 x) y)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) x) x) y) y) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/3 binary64) x)) (*.f64 y y) x) y) y) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 2/45 binary64) x)) y) y (*.f64 #s(literal -1/3 binary64) x)) (*.f64 y y) x) (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 y y)) #s(literal 1/3 binary64)) (*.f64 y y)) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 y y) #s(literal 2/45 binary64)) y) y) #s(literal 1/3 binary64)) (*.f64 y y)) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x y)) |
(+ 1 (* 1/2 (pow y 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/2 (* 5/24 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 5/24 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/720 binary64) (*.f64 y y) #s(literal 5/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(* -1/6 (* x (pow y 3))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64)) x) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3)))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) x) y)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* -1/2 (* (pow y 2) z)) |
(*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)) |
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (/.f64 z y) y)) y) y) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(*.f64 (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y) y) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) (*.f64 y y)) |
(* y (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y) |
(pow (sin y) 2) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(/ 1 (cos y)) |
(/.f64 #s(literal 1 binary64) (cos.f64 y)) |
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x)))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (neg.f64 x) y)) y))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x)))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) x) y)) (neg.f64 y)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) (*.f64 y y)) |
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x z)) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) y x) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) z)) z z) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) z)) z) |
(* z (- (* -1/6 (/ (* x y) z)) 1/2)) |
(*.f64 (-.f64 (*.f64 (*.f64 y (/.f64 x z)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(*.f64 (neg.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) (neg.f64 z)) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) z)) z) |
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z))))) |
(*.f64 (neg.f64 z) (fma.f64 (*.f64 y (/.f64 x z)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* -1 (* z (* (cos y) (pow (sqrt -1) 2)))) |
(*.f64 (cos.f64 y) z) |
(* -1 (* z (+ (* -1 (/ (* x (sin y)) z)) (* (cos y) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 262 |
| 0 | 75 | 249 |
| 1 | 267 | 230 |
| 2 | 1940 | 230 |
| 0 | 8410 | 220 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z (*.f64 (sin.f64 y) x)) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) |
(*.f64 (*.f64 y y) z) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z)) |
(fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z) |
(fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) |
#s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) z) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z)) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) x) |
(/.f64 #s(literal 1 binary64) (cos.f64 y)) |
(*.f64 y y) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x y)) |
| Outputs |
|---|
(*.f64 (fabs.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (neg.f64 (sqrt.f64 (cos.f64 y)))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (cos.f64 y)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fabs.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1 binary64))) |
(*.f64 (cos.f64 y) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (cos.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (cos.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (cos.f64 y)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 y) y)) (cos.f64 (-.f64 (neg.f64 y) y)))) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (+.f64 y (neg.f64 y))) (cos.f64 (-.f64 y (neg.f64 y))))) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 y) y)) (cos.f64 (-.f64 (neg.f64 y) y)))) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 y) y)) (cos.f64 (-.f64 (neg.f64 y) y)))) (*.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) (*.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) (*.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 y (neg.f64 y))) (cos.f64 (-.f64 y (neg.f64 y))))) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 y (neg.f64 y))) (cos.f64 (-.f64 y (neg.f64 y))))) (*.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 y) y)) (cos.f64 (-.f64 (neg.f64 y) y))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 y)))) |
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 y) y)) (cos.f64 (-.f64 (neg.f64 y) y))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (cos.f64 y))))) |
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 y) y)) (cos.f64 (-.f64 (neg.f64 y) y))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 y))) |
(/.f64 (*.f64 (-.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 y)))) |
(/.f64 (*.f64 (-.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (cos.f64 y))))) |
(/.f64 (*.f64 (-.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 y))) |
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 y)))) |
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (cos.f64 y))))) |
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 y))) |
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 y (neg.f64 y))) (cos.f64 (-.f64 y (neg.f64 y)))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 y)))) |
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 y (neg.f64 y))) (cos.f64 (-.f64 y (neg.f64 y)))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (cos.f64 y))))) |
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 y (neg.f64 y))) (cos.f64 (-.f64 y (neg.f64 y)))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 y))) |
(/.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (cos.f64 y)) |
(/.f64 (fabs.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64))) (cos.f64 y)) |
(/.f64 (fabs.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (cos.f64 y)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 y))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 y))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))) |
(/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (cos.f64 y))) |
(/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))) |
(/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (cos.f64 y)) |
(fma.f64 (fabs.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (neg.f64 (sqrt.f64 (cos.f64 y))) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64) (cos.f64 y)) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 (sin.f64 y) #s(literal 0 binary64) (cos.f64 y)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fabs.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64))) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) |
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) (cos.f64 y))) |
(-.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y))) |
(fabs.f64 (neg.f64 (cos.f64 y))) |
(fabs.f64 (cos.f64 y)) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 y)))) |
(cos.f64 (neg.f64 (neg.f64 y))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 y) |
(exp.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal -1 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(exp.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (*.f64 (log.f64 (cos.f64 y)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (cos.f64 y))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (cos.f64 y)) |
(+.f64 (cosh.f64 (log.f64 (cos.f64 y))) (sinh.f64 (log.f64 (cos.f64 y)))) |
(+.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (cos.f64 y)) |
(+.f64 (cos.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) (neg.f64 (*.f64 x (sin.f64 y)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) (neg.f64 (*.f64 x (sin.f64 y))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
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(fabs.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y (neg.f64 y))) |
(fabs.f64 (neg.f64 (*.f64 y y))) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) y) |
(*.f64 (*.f64 x y) #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x y)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) x)) |
Compiled 22 884 to 2 624 computations (88.5% saved)
34 alts after pruning (28 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 800 | 14 | 814 |
| Fresh | 11 | 14 | 25 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 814 | 34 | 848 |
| Status | Accuracy | Program |
|---|---|---|
| 31.0% | (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) | |
| 65.5% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z #s(approx (* (sin y) x) (*.f64 x y))) | |
| 51.7% | (fma.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) (sqrt.f64 x) (*.f64 (cos.f64 y) z)) | |
| 24.7% | (fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x)) | |
| 59.9% | (fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 50.4% | #s(approx (+ (* (* (pow (cos y) 2) (/ 1 (cos y))) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) | |
| 91.4% | #s(approx (+ (* (* (pow (cos y) 2) (/ 1 (cos y))) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) | |
| 37.6% | #s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (sin.f64 y) x)) | |
| 33.5% | #s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) | |
| 64.3% | #s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (cos.f64 y))) | |
| 64.1% | #s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) (*.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 2 binary64) (cos.f64 y)))) | |
| 16.5% | #s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 z (cos.f64 y)) z)) (sqrt.f64 (cos.f64 y)))) | |
| 34.2% | #s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64)))) | |
| ✓ | 64.3% | #s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z)) |
| 41.2% | #s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) y) y (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) | |
| 41.3% | #s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) | |
| ✓ | 50.4% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z)) |
| 25.3% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) (*.f64 y y))) y z)) | |
| 41.3% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z)) | |
| 41.3% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) | |
| 62.5% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)))) | |
| 88.4% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) | |
| 36.9% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) | |
| 45.4% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x)) | |
| 41.3% | #s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z z))) | |
| 12.1% | #s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))))) | |
| 41.3% | #s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64))))) | |
| 3.0% | #s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) #s(approx (+ (* (* (* y y) z) -1/2) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))))) | |
| 27.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))) | |
| ✓ | 51.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 50.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64))))) | |
| ✓ | 12.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
Compiled 2 601 to 915 computations (64.8% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) #s(approx (+ (* (* (* y y) z) -1/2) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z z))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z)) |
#s(approx (+ (* (* (pow (cos y) 2) (/ 1 (cos y))) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64))))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))))) |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))) |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) y) y (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) (*.f64 y y))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (sin.f64 y)) x)) |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 (sin.f64 y) x #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (fma.f64 (*.f64 (*.f64 y y) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64)))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
#s(approx (+ (* (* (pow (cos y) 2) (/ 1 (cos y))) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 z (cos.f64 y)) z)) (sqrt.f64 (cos.f64 y)))) |
(fma.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) (sqrt.f64 x) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (cos.f64 y))) |
(fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) |
(fma.f64 (cos.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 x (sin.f64 y))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z #s(approx (* (sin y) x) (*.f64 x y))) |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) (*.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 2 binary64) (cos.f64 y)))) |
(fma.f64 #s(approx (sqrt (* (* (cos y) z) z)) (*.f64 (sqrt.f64 (cos.f64 y)) z)) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z)) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (cos.f64 y))) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))))))) |
(*.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
4 calls:
| 20.0ms | x |
| 16.0ms | y |
| 16.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 16.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) #s(approx (+ (* (* (* y y) z) -1/2) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z z))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z)) |
#s(approx (+ (* (* (pow (cos y) 2) (/ 1 (cos y))) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64))))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))))) |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))) |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) y) y (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) (*.f64 y y))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (sin.f64 y)) x)) |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 (sin.f64 y) x #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (fma.f64 (*.f64 (*.f64 y y) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
4 calls:
| 24.0ms | x |
| 9.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 9.0ms | z |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.3% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 89.2% | 3 | x |
| 77.3% | 1 | y |
| 90.2% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) #s(approx (+ (* (* (* y y) z) -1/2) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z z))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z)) |
#s(approx (+ (* (* (pow (cos y) 2) (/ 1 (cos y))) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64))))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))))) |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))) |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) y) y (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) (*.f64 y y))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (sin.f64 y)) x)) |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (sin.f64 y) x)) |
| Outputs |
|---|
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (sin.f64 y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (sin.f64 y)) x)) |
2 calls:
| 33.0ms | x |
| 8.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.3% | 3 | x |
| 77.2% | 3 | z |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) #s(approx (+ (* (* (* y y) z) -1/2) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z z))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z)) |
#s(approx (+ (* (* (pow (cos y) 2) (/ 1 (cos y))) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64))))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))))) |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))) |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) y) y (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) (*.f64 y y))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
4 calls:
| 26.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 7.0ms | x |
| 7.0ms | z |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.3% | 3 | z |
| 73.4% | 3 | y |
| 64.3% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 69.8% | 3 | x |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) #s(approx (+ (* (* (* y y) z) -1/2) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z z))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z)) |
#s(approx (+ (* (* (pow (cos y) 2) (/ 1 (cos y))) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64))))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))))) |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))) |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) y) y (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) (*.f64 y y))) y z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
4 calls:
| 16.0ms | y |
| 7.0ms | z |
| 7.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.4% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 51.4% | 1 | z |
| 51.4% | 1 | x |
| 51.4% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
4 calls:
| 22.0ms | z |
| 1.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 12.3% | 1 | y |
| 12.3% | 1 | z |
| 12.3% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 12.3% | 1 | x |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 2.0458915782910836e+25 | 2.9200336970983787e+27 |
| 18.0ms | -0.005204844224631183 | -1.8842541515913664e-12 |
| 46.0ms | 256× | 0 | valid |
Compiled 396 to 366 computations (7.6% saved)
ival-sin: 6.0ms (36.9% of total)ival-cos: 5.0ms (30.8% of total)ival-mult: 3.0ms (18.5% of total)ival-add: 1.0ms (6.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 3.99036022294952e+119 | 4.96133813806704e+121 |
| 15.0ms | -1.4091419562975732e+110 | -4.6309356822589823e+108 |
| 20.0ms | 224× | 0 | valid |
Compiled 544 to 406 computations (25.4% saved)
ival-sin: 5.0ms (35.2% of total)ival-cos: 4.0ms (28.2% of total)ival-mult: 3.0ms (21.1% of total)ival-add: 1.0ms (7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 2.5641038239104727e-15 | 6.931771834197607e-14 |
| 10.0ms | -0.000574667553434467 | -4.569751348598974e-5 |
| 13.0ms | 208× | 0 | valid |
Compiled 597 to 456 computations (23.6% saved)
ival-mult: 3.0ms (37.2% of total)ival-sin: 3.0ms (37.2% of total)ival-cos: 2.0ms (24.8% of total)ival-add: 1.0ms (12.4% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 175 |
| 1 | 107 | 175 |
| 2 | 167 | 175 |
| 3 | 285 | 175 |
| 4 | 495 | 175 |
| 5 | 877 | 175 |
| 6 | 1798 | 175 |
| 7 | 3817 | 175 |
| 8 | 7214 | 175 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(if (<=.f64 z #s(literal -4842270319348757/1152921504606846976 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 2799999999999999927253991424 binary64)) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 x #s(literal -57999999999999999364535469646021636083140052579344040621499437568198364945685873157370950053011555948687261696 binary64)) #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (sin.f64 y)) x)) (if (<=.f64 x #s(literal 419999999999999965799597276017259990679163108868265493677876162825761772095645621592329206675142733909297229087138381824 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (sin.f64 y)) x)))) |
(if (<=.f64 y #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 5387515050969975/79228162514264337593543950336 binary64)) #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(if (<=.f64 z #s(literal -4842270319348757/1152921504606846976 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 2799999999999999927253991424 binary64)) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (or (<=.f64 z #s(literal -4842270319348757/1152921504606846976 binary64)) (not (<=.f64 z #s(literal 2799999999999999927253991424 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))) |
(if (<=.f64 x #s(literal -57999999999999999364535469646021636083140052579344040621499437568198364945685873157370950053011555948687261696 binary64)) #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (sin.f64 y)) x)) (if (<=.f64 x #s(literal 419999999999999965799597276017259990679163108868265493677876162825761772095645621592329206675142733909297229087138381824 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (sin.f64 y)) x)))) |
(if (or (<=.f64 x #s(literal -57999999999999999364535469646021636083140052579344040621499437568198364945685873157370950053011555948687261696 binary64)) (not (<=.f64 x #s(literal 419999999999999965799597276017259990679163108868265493677876162825761772095645621592329206675142733909297229087138381824 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (sin.f64 y)) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))) |
(if (<=.f64 y #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 5387515050969975/79228162514264337593543950336 binary64)) #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (or (<=.f64 y #s(literal -1152921504606847/2305843009213693952 binary64)) (not (<=.f64 y #s(literal 5387515050969975/79228162514264337593543950336 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 288 |
| 1 | 417 | 284 |
| 2 | 1479 | 274 |
| 3 | 3945 | 272 |
| 4 | 7797 | 272 |
| 0 | 8009 | 241 |
| 0 | 332 | 1257 |
| 1 | 1248 | 1191 |
| 2 | 4851 | 1178 |
| 0 | 8411 | 1068 |
| 0 | 189 | 496 |
| 1 | 695 | 483 |
| 2 | 2523 | 468 |
| 3 | 6952 | 468 |
| 0 | 8393 | 426 |
| 0 | 32 | 139 |
| 0 | 54 | 89 |
| 1 | 214 | 89 |
| 2 | 1225 | 89 |
| 0 | 8715 | 88 |
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 39 | 21 |
| 2 | 251 | 21 |
| 3 | 2629 | 21 |
| 0 | 8333 | 20 |
| 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 175 to 64 computations (63.4% saved)
Compiled 368 to 144 computations (60.9% saved)
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