
Time bar (total: 11.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 3.6s | 8 256× | 0 | valid |
ival-sin: 292.0ms (44.7% of total)ival-cos: 176.0ms (26.9% of total)ival-mult: 137.0ms (20.9% of total)ival-add: 39.0ms (6% of total)ival-true: 7.0ms (1.1% of total)ival-assert: 3.0ms (0.5% 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 |
| 64.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-cos: 26.0ms (54.7% of total)ival-sin: 12.0ms (25.2% of total)ival-mult: 7.0ms (14.7% of total)ival-add: 2.0ms (4.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 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)
| 1× | egg-herbie |
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 | 0.0 | (cos.f64 y) | |
| accuracy | 0.01171875 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.109375 | (*.f64 z (cos.f64 y)) | |
| accuracy | 0.1171875 | (*.f64 x (sin.f64 y)) |
| 61.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 42.0ms (78.9% of total)ival-sin: 7.0ms (13.2% of total)ival-mult: 3.0ms (5.6% of total)ival-add: 1.0ms (1.9% of total)ival-true: 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 | |
|---|---|---|---|---|
| 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)) |
| 1.0ms | z | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1× | egg-herbie |
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)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 275 | 18 | 293 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 276 | 18 | 294 |
| Status | Accuracy | Program |
|---|---|---|
| 26.1% | (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))))) | |
| 31.2% | (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #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))))) | |
| 39.2% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z)) | |
| 41.2% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (*.f64 (sin.f64 y) x)) | |
| 33.0% | (fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) x)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z)) | |
| 57.6% | (fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) | |
| ▶ | 48.1% | (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 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| ▶ | 16.1% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (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))))) |
| 99.8% | (+.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))))) | |
| 78.8% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) | |
| ▶ | 77.9% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
| 46.7% | (*.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))))) | |
| 50.1% | #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)) | |
| 50.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) | |
| ▶ | 51.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 60.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
Compiled 880 to 498 computations (43.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (cos.f64 y) z) | |
| cost-diff | 0 | (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (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))))) | |
| 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 | 34 | 246 |
| 0 | 59 | 238 |
| 1 | 124 | 238 |
| 2 | 338 | 238 |
| 3 | 1493 | 238 |
| 4 | 4493 | 238 |
| 5 | 7123 | 238 |
| 0 | 8005 | 237 |
| 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 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (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)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
#s(literal 3 binary64) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
(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))) |
(fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (neg.f64 x) (sin.f64 y)) |
(neg.f64 x) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.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 z (cos.f64 y) (*.f64 x (sin.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 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (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 (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) #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))) |
(-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) |
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
y |
z |
#s(literal 3 binary64) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
(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)))) |
(neg.f64 (fma.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) #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))) |
(fma.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) |
(fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) |
(fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) |
(*.f64 (neg.f64 x) (sin.f64 y)) |
(neg.f64 x) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10775375976844201 | (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) | |
| accuracy | 0.1129875488422101 | (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) | |
| accuracy | 1.1484313074906176 | (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) | |
| accuracy | 21.897311012749757 | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (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))))) | |
| accuracy | 0.03125 | (sqrt.f64 (*.f64 (cos.f64 y) z)) | |
| accuracy | 0.05859375 | (*.f64 (cos.f64 y) z) | |
| accuracy | 0.06640625 | (*.f64 (sin.f64 y) x) | |
| accuracy | 0.166347509768442 | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)) | |
| accuracy | 0.0078125 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| accuracy | 0.05859375 | (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) | |
| accuracy | 0.06640625 | (*.f64 x (sin.f64 y)) | |
| accuracy | 15.055904845261429 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (fma.f64 y x z) | |
| accuracy | 15.739817230810747 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.03125 | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) | |
| accuracy | 0.06640625 | (*.f64 (sin.f64 y) x) |
| 62.0ms | 124× | 0 | valid |
| 62.0ms | 132× | 0 | invalid |
Compiled 247 to 32 computations (87% saved)
ival-mult: 34.0ms (46.6% of total)ival-cos: 9.0ms (12.3% of total)ival-pow: 8.0ms (11% of total)ival-add: 6.0ms (8.2% of total)ival-sin: 6.0ms (8.2% of total)ival-div: 2.0ms (2.7% of total)ival-sqrt: 2.0ms (2.7% of total)ival-neg: 2.0ms (2.7% of total)ival-pow2: 2.0ms (2.7% of total)ival-sub: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (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 (cos.f64 y) z) #s(literal 3 binary64)) (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 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) |
#s(approx (cos y) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
| Outputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
z |
(+ z (* x y)) |
(* -1 (* z (cos y))) |
(+ (* -1 (* x (sin y))) (* -1 (* z (cos y)))) |
(+ (* -1 (* z (cos y))) (* x (+ (* -1 (sin y)) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y)))))))) |
(+ (* -1 (* z (cos y))) (* x (+ (* -1 (sin y)) (* x (+ (* -1 (* x (- (* -1 (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2)))) (+ (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))) (* z (cos y))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))))) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))))) |
(* (pow z 3) (pow (cos y) 3)) |
(+ (* -1 (* (pow x 3) (pow (sin y) 3))) (* (pow z 3) (pow (cos y) 3))) |
(* (pow x 3) (pow (sin y) 3)) |
(* (pow x 2) (pow (sin y) 2)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ (sin y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (+ (/ (* z (cos y)) x) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y))))))) |
(* x (+ (sin y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (+ (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (sin y)))) (pow x 3))) (+ (/ (* z (cos y)) x) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))))))) |
(* -1 (* (pow x 3) (pow (sin y) 3))) |
(* (pow x 3) (- (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)) (* z (cos y))) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) (+ (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* x (sin y)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))))) x)) (* z (cos y))) x))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3))))) |
(+ 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))))))))) |
(* -1 z) |
(+ (* -1 z) (* -1 (* x y))) |
(+ (* -1 z) (* y (+ (* -1 x) (* -1 (* y (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))))))) |
(+ (* -1 z) (* y (+ (* -1 x) (* y (+ (* -1 (* y (- (* -1 (/ (pow x 3) (pow z 2))) (+ (* -1 (/ (* x (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) z)) (+ (* 1/6 x) (+ (* 1/2 x) (/ (* x (+ (* -1 (pow z 2)) (pow x 2))) (pow z 2)))))))) (* -1 (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))))))))) |
(pow z 3) |
(+ (* -3/2 (* (pow y 2) (pow z 3))) (pow z 3)) |
(+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* -1 (* (pow x 3) y)))) (pow z 3)) |
(+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* y (- (* 7/8 (* y (pow z 3))) (pow x 3))))) (pow z 3)) |
(+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* 7/8 (* (pow y 2) (pow z 3))))) (pow z 3)) |
(+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* (pow y 2) (+ (* -61/240 (* (pow y 2) (pow z 3))) (* 7/8 (pow z 3)))))) (pow z 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow y 3) (+ (* -1/2 (* (pow x 3) (pow y 2))) (pow x 3))) |
(* (pow y 3) (+ (* (pow y 2) (+ (* -1/2 (pow x 3)) (* 13/120 (* (pow x 3) (pow y 2))))) (pow x 3))) |
(* (pow y 3) (+ (* (pow y 2) (+ (* -1/2 (pow x 3)) (* (pow y 2) (+ (* -41/3024 (* (pow x 3) (pow y 2))) (* 13/120 (pow x 3)))))) (pow x 3))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2))) |
(cos y) |
(sin y) |
(* y (+ x (/ z y))) |
(sqrt (* z (cos y))) |
(* -1 (/ (- (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 3))) (+ (* z (* (cos y) (+ (* -1 (* x (sin y))) (* z (cos y))))) (* (pow x 2) (pow (sin y) 2))))) |
(- (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 3))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(+ (* x (sin y)) (* z (+ (cos y) (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))))) |
(+ (* x (sin y)) (* z (+ (cos y) (* z (+ (* -1 (* z (- (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))) (* x (sin y))))))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))) |
(* z (+ (* -1 (cos y)) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))))) |
(* z (+ (* -1 (cos y)) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2))) (+ (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (cos y)) (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2)))) (pow z 3))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))))))) |
(* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))) (pow (cos y) 3))) |
(* -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))) |
(* -1 (* z (+ (cos y) (/ (* x (sin y)) z)))) |
(* -1 (* z (+ (cos y) (* -1 (/ (+ (* -1 (* x (sin y))) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z))) z))))) |
(* -1 (* z (+ (cos y) (* -1 (/ (+ (* -1 (* x (sin y))) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2)))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) (+ (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (* z (cos y)))) (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z))) z))))) |
(* -1 (* (pow z 3) (+ (* -1 (pow (cos y) 3)) (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 45.0ms | 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 (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (pow (* (cos y) z) 3) (cos y) (pow (* (sin y) x) 3) (pow (* (sin y) x) 2)) |
| 8.0ms | 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 (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (pow (* (cos y) z) 3) (cos y) (pow (* (sin y) x) 3) (pow (* (sin y) x) 2)) |
| 6.0ms | x | @ | 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 (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (pow (* (cos y) z) 3) (cos y) (pow (* (sin y) x) 3) (pow (* (sin y) x) 2)) |
| 5.0ms | 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 (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (pow (* (cos y) z) 3) (cos y) (pow (* (sin y) x) 3) (pow (* (sin y) x) 2)) |
| 4.0ms | 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 (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (pow (* (cos y) z) 3) (cos y) (pow (* (sin y) x) 3) (pow (* (sin y) x) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 462 | 1811 |
| 1 | 1816 | 1491 |
| 0 | 8112 | 1395 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
z |
(+ z (* x y)) |
(* -1 (* z (cos y))) |
(+ (* -1 (* x (sin y))) (* -1 (* z (cos y)))) |
(+ (* -1 (* z (cos y))) (* x (+ (* -1 (sin y)) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y)))))))) |
(+ (* -1 (* z (cos y))) (* x (+ (* -1 (sin y)) (* x (+ (* -1 (* x (- (* -1 (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2)))) (+ (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))) (* z (cos y))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))))) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))))) |
(* (pow z 3) (pow (cos y) 3)) |
(+ (* -1 (* (pow x 3) (pow (sin y) 3))) (* (pow z 3) (pow (cos y) 3))) |
(* (pow x 3) (pow (sin y) 3)) |
(* (pow x 2) (pow (sin y) 2)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ (sin y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (+ (/ (* z (cos y)) x) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y))))))) |
(* x (+ (sin y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (+ (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (sin y)))) (pow x 3))) (+ (/ (* z (cos y)) x) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))))))) |
(* -1 (* (pow x 3) (pow (sin y) 3))) |
(* (pow x 3) (- (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)) (* z (cos y))) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) (+ (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* x (sin y)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))))) x)) (* z (cos y))) x))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3))))) |
(+ 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))))))))) |
(* -1 z) |
(+ (* -1 z) (* -1 (* x y))) |
(+ (* -1 z) (* y (+ (* -1 x) (* -1 (* y (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))))))) |
(+ (* -1 z) (* y (+ (* -1 x) (* y (+ (* -1 (* y (- (* -1 (/ (pow x 3) (pow z 2))) (+ (* -1 (/ (* x (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) z)) (+ (* 1/6 x) (+ (* 1/2 x) (/ (* x (+ (* -1 (pow z 2)) (pow x 2))) (pow z 2)))))))) (* -1 (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))))))))) |
(pow z 3) |
(+ (* -3/2 (* (pow y 2) (pow z 3))) (pow z 3)) |
(+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* -1 (* (pow x 3) y)))) (pow z 3)) |
(+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* y (- (* 7/8 (* y (pow z 3))) (pow x 3))))) (pow z 3)) |
(+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* 7/8 (* (pow y 2) (pow z 3))))) (pow z 3)) |
(+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* (pow y 2) (+ (* -61/240 (* (pow y 2) (pow z 3))) (* 7/8 (pow z 3)))))) (pow z 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow y 3) (+ (* -1/2 (* (pow x 3) (pow y 2))) (pow x 3))) |
(* (pow y 3) (+ (* (pow y 2) (+ (* -1/2 (pow x 3)) (* 13/120 (* (pow x 3) (pow y 2))))) (pow x 3))) |
(* (pow y 3) (+ (* (pow y 2) (+ (* -1/2 (pow x 3)) (* (pow y 2) (+ (* -41/3024 (* (pow x 3) (pow y 2))) (* 13/120 (pow x 3)))))) (pow x 3))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2))) |
(cos y) |
(sin y) |
(* y (+ x (/ z y))) |
(sqrt (* z (cos y))) |
(* -1 (/ (- (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 3))) (+ (* z (* (cos y) (+ (* -1 (* x (sin y))) (* z (cos y))))) (* (pow x 2) (pow (sin y) 2))))) |
(- (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 3))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(+ (* x (sin y)) (* z (+ (cos y) (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))))) |
(+ (* x (sin y)) (* z (+ (cos y) (* z (+ (* -1 (* z (- (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))) (* x (sin y))))))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))) |
(* z (+ (* -1 (cos y)) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))))) |
(* z (+ (* -1 (cos y)) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2))) (+ (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (cos y)) (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2)))) (pow z 3))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))))))) |
(* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))) (pow (cos y) 3))) |
(* -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))) |
(* -1 (* z (+ (cos y) (/ (* x (sin y)) z)))) |
(* -1 (* z (+ (cos y) (* -1 (/ (+ (* -1 (* x (sin y))) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z))) z))))) |
(* -1 (* z (+ (cos y) (* -1 (/ (+ (* -1 (* x (sin y))) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2)))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) (+ (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (* z (cos y)))) (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z))) z))))) |
(* -1 (* (pow z 3) (+ (* -1 (pow (cos y) 3)) (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))))) |
| 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) |
(* -1 (* z (cos y))) |
(*.f64 (neg.f64 z) (cos.f64 y)) |
(+ (* -1 (* x (sin y))) (* -1 (* z (cos y)))) |
(neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
(+ (* -1 (* z (cos y))) (* x (+ (* -1 (sin y)) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y)))))))) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (fma.f64 #s(literal 0 binary64) x (neg.f64 (sin.f64 y))) x)) |
(+ (* -1 (* z (cos y))) (* x (+ (* -1 (sin y)) (* x (+ (* -1 (* x (- (* -1 (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2)))) (+ (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))) (* z (cos y))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))))) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z)) (fma.f64 (/.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 (sin.f64 y) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)))) #s(literal 0 binary64)) x (neg.f64 (sin.f64 y))) x (*.f64 (neg.f64 z) (cos.f64 y))) |
(* (pow z 3) (pow (cos y) 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) |
(+ (* -1 (* (pow x 3) (pow (sin y) 3))) (* (pow z 3) (pow (cos y) 3))) |
(-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) |
(* (pow x 3) (pow (sin y) 3)) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* 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) |
(* x (+ (sin y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (+ (/ (* z (cos y)) x) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y))))))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 x x)) (+.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (*.f64 (*.f64 (sin.f64 y) x) x))) (sin.f64 y))) x) |
(* x (+ (sin y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (+ (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (sin y)))) (pow x 3))) (+ (/ (* z (cos y)) x) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 z z) (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (fma.f64 (*.f64 (cos.f64 y) (/.f64 #s(literal 0 binary64) (sin.f64 y))) z (/.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (*.f64 (*.f64 (sin.f64 y) x) x))) (sin.f64 y))) x) |
(* -1 (* (pow x 3) (pow (sin y) 3))) |
(pow.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 3 binary64)) |
(* (pow x 3) (- (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (neg.f64 x) (neg.f64 (+.f64 (/.f64 z x) y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)) (* z (cos y))) x))))) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (sin.f64 y)) (/.f64 (fma.f64 (cos.f64 y) z (/.f64 #s(literal 0 binary64) x)) x))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) (+ (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* x (sin y)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))))) x)) (* z (cos y))) x))))) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (sin.f64 y)) (/.f64 (fma.f64 (cos.f64 y) z (/.f64 (-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 y) x)) (/.f64 z (sin.f64 y)) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (neg.f64 x))) x))) |
(* -1 (* (pow x 3) (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3))))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) |
(+ 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 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* y (+ 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 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.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 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.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)) (-.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 (* -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 (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 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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -1/48 binary64) z (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) z) (*.f64 z #s(literal 1/192 binary64))) (*.f64 y y)))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 z))) (*.f64 y y) (sqrt.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* -1 (* x y))) |
(neg.f64 (fma.f64 x y z)) |
(+ (* -1 z) (* y (+ (* -1 x) (* -1 (* y (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))))))) |
(fma.f64 (neg.f64 y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) y x) (neg.f64 z)) |
(+ (* -1 z) (* y (+ (* -1 x) (* y (+ (* -1 (* y (- (* -1 (/ (pow x 3) (pow z 2))) (+ (* -1 (/ (* x (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) z)) (+ (* 1/6 x) (+ (* 1/2 x) (/ (* x (+ (* -1 (pow z 2)) (pow x 2))) (pow z 2)))))))) (* -1 (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))))))))) |
(fma.f64 (fma.f64 (neg.f64 y) (fma.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) z) z) (fma.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) z) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) z) (/.f64 x z) (*.f64 x #s(literal 2/3 binary64))))) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64))) (neg.f64 x)) y (neg.f64 z)) |
(pow z 3) |
(pow.f64 z #s(literal 3 binary64)) |
(+ (* -3/2 (* (pow y 2) (pow z 3))) (pow z 3)) |
(*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) |
(+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* -1 (* (pow x 3) y)))) (pow z 3)) |
(fma.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) |
(+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* y (- (* 7/8 (* y (pow z 3))) (pow x 3))))) (pow z 3)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 7/8 binary64) y) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) y (*.f64 #s(literal -3/2 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y y) (pow.f64 z #s(literal 3 binary64))) |
(+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* 7/8 (* (pow y 2) (pow z 3))))) (pow z 3)) |
(fma.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 7/8 binary64) y) y #s(literal -3/2 binary64))) (*.f64 y y) (pow.f64 z #s(literal 3 binary64))) |
(+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* (pow y 2) (+ (* -61/240 (* (pow y 2) (pow z 3))) (* 7/8 (pow z 3)))))) (pow z 3)) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 #s(literal -61/240 binary64) (*.f64 y y) #s(literal 7/8 binary64))) (*.f64 y y) (*.f64 #s(literal -3/2 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y y) (pow.f64 z #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(pow.f64 (*.f64 x y) #s(literal 3 binary64)) |
(* (pow y 3) (+ (* -1/2 (* (pow x 3) (pow y 2))) (pow x 3))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y) #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* (pow y 2) (+ (* -1/2 (pow x 3)) (* 13/120 (* (pow x 3) (pow y 2))))) (pow x 3))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 13/120 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) y) y (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* (pow y 2) (+ (* -1/2 (pow x 3)) (* (pow y 2) (+ (* -41/3024 (* (pow x 3) (pow y 2))) (* 13/120 (pow x 3)))))) (pow x 3))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -41/3024 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y) (*.f64 #s(literal 13/120 binary64) (pow.f64 x #s(literal 3 binary64)))) y) y (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 y y) x) x) |
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (*.f64 y y) x) x) (*.f64 x x)) y) y) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 (*.f64 y y) x) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) y) y (*.f64 x x)) (*.f64 y y)) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 (*.f64 (*.f64 y y) x) x) (*.f64 #s(literal 2/45 binary64) (*.f64 x x))) y) y (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (*.f64 x x)) (*.f64 y y)) |
(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)) |
(* -1 (/ (- (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 3))) (+ (* z (* (cos y) (+ (* -1 (* x (sin y))) (* z (cos y))))) (* (pow x 2) (pow (sin y) 2))))) |
(/.f64 (neg.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 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)) (*.f64 (cos.f64 y) z) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) |
(- (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 3))) |
(-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(*.f64 (neg.f64 y) (neg.f64 (+.f64 (/.f64 z y) x))) |
(+ (* x (sin y)) (* z (+ (cos y) (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z (cos.f64 y)) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (+ (cos y) (* z (+ (* -1 (* z (- (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))) (* x (sin y))))))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))))))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (/.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64)) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 z) #s(literal 0 binary64)) z (cos.f64 y)) z (*.f64 (sin.f64 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 (cos y)) (* -1 (/ (* x (sin y)) z)))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))) z) |
(* z (+ (* -1 (cos y)) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64)) z) |
(* z (+ (* -1 (cos y)) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2))) (+ (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (cos y)) (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2)))) (pow z 3))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 x (cos.f64 y)) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))) z) |
(* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))) (pow (cos y) 3))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))) (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(*.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 y z)) #s(literal 1 binary64)) (neg.f64 z)) |
(* -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 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))) (neg.f64 z)) |
(* -1 (* (sqrt (* z (cos y))) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)) |
(* -1 (* z (+ (cos y) (/ (* x (sin y)) z)))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))) z) |
(* -1 (* z (+ (cos y) (* -1 (/ (+ (* -1 (* x (sin y))) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z))) z))))) |
(*.f64 (-.f64 (cos.f64 y) (/.f64 (neg.f64 (fma.f64 (sin.f64 y) x (/.f64 #s(literal 0 binary64) z))) z)) (neg.f64 z)) |
(* -1 (* z (+ (cos y) (* -1 (/ (+ (* -1 (* x (sin y))) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2)))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) (+ (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (* z (cos y)))) (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z))) z))))) |
(*.f64 (-.f64 (cos.f64 y) (/.f64 (neg.f64 (fma.f64 (sin.f64 y) x (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) z) #s(literal 0 binary64)) (fma.f64 (neg.f64 (/.f64 x z)) (*.f64 (sin.f64 y) (/.f64 #s(literal 0 binary64) (cos.f64 y))) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z))) z)) (neg.f64 z)) |
(* -1 (* (pow z 3) (+ (* -1 (pow (cos y) 3)) (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))))) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 3 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 149 |
| 0 | 59 | 114 |
| 1 | 246 | 114 |
| 2 | 1684 | 114 |
| 0 | 9189 | 113 |
| 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 (cos.f64 y) z) #s(literal 3 binary64)) (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 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) |
#s(approx (cos y) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))) (/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(*.f64 (/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (fma.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.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)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 (+.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(*.f64 (/.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 (*.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) z) (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) z) (cos.f64 y) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.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 6 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) z) (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) z) (cos.f64 y) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) z) (cos.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (fma.f64 (*.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) z) (cos.f64 y) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) z) (cos.f64 y) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) z) (cos.f64 y) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) z) (cos.f64 y) (pow.f64 (*.f64 x (sin.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 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) z) (cos.f64 y) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) z) (cos.f64 y) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) z) (cos.f64 y) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) z) (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))))))) |
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(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (log.f64 (sin.f64 y)) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal 3 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
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(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
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(*.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) |
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(*.f64 (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (sin.f64 y)) (neg.f64 x)) |
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (sin.f64 y)) |
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y)) x) |
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(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)) |
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(*.f64 (neg.f64 x) (*.f64 (sin.f64 y) (*.f64 (neg.f64 x) (sin.f64 y)))) |
(*.f64 (*.f64 x (sin.f64 y)) (*.f64 x (sin.f64 y))) |
(*.f64 x (pow.f64 (*.f64 (sin.f64 y) (*.f64 x (sin.f64 y))) #s(literal 1 binary64))) |
(*.f64 x (*.f64 (sin.f64 y) (*.f64 x (sin.f64 y)))) |
(*.f64 (sin.f64 y) (pow.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (sin.f64 y))) #s(literal 1 binary64))) |
(*.f64 (sin.f64 y) (pow.f64 (*.f64 x (*.f64 x (sin.f64 y))) #s(literal 1 binary64))) |
(*.f64 (sin.f64 y) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (sin.f64 y)))) |
(*.f64 (sin.f64 y) (*.f64 x (*.f64 x (sin.f64 y)))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 x (sin.f64 y)))) |
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) |
(neg.f64 (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x) (sin.f64 y))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
Compiled 55 556 to 3 857 computations (93.1% saved)
28 alts after pruning (26 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 372 | 22 | 1 394 |
| Fresh | 9 | 4 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 384 | 28 | 1 412 |
| Status | Accuracy | Program |
|---|---|---|
| 73.7% | (fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) z (*.f64 (sin.f64 y) x)) | |
| 30.4% | (fma.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z z) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)) | |
| 39.2% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z)) | |
| ▶ | 41.2% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (*.f64 (sin.f64 y) x)) |
| 33.0% | (fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) x)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z)) | |
| 25.7% | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) | |
| 46.0% | (fma.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| ▶ | 77.9% | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 11.5% | (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #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))))) | |
| 15.6% | (/.f64 (fma.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #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))))) | |
| 25.5% | (/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) | |
| ▶ | 99.8% | (+.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)))))))) |
| 2.2% | #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (fma.f64 (neg.f64 y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) y x) (neg.f64 z))) | |
| 2.0% | #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (*.f64 (neg.f64 z) (cos.f64 y))) | |
| 4.0% | #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 (fma.f64 x y z))) | |
| ▶ | 4.9% | #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 z)) |
| 60.6% | #s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z)) | |
| 50.6% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) | |
| 89.1% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) | |
| 83.4% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) | |
| 23.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))) | |
| ✓ | 51.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| ▶ | 43.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) |
| 49.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 y z)) #s(literal 1 binary64)) (neg.f64 z)))) | |
| 36.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) | |
| 42.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) | |
| 14.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
Compiled 1 374 to 859 computations (37.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (*.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (fma.f64 (*.f64 z x) (/.f64 y z) z) | |
| cost-diff | 0 | #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 z)) | |
| cost-diff | 3 | (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) | |
| cost-diff | 3 | (*.f64 #s(literal 0 binary64) (sin.f64 y)) | |
| cost-diff | 6 | (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)))) | |
| cost-diff | 7 | (/.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)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 395 |
| 0 | 97 | 263 |
| 1 | 226 | 245 |
| 2 | 561 | 231 |
| 3 | 2175 | 230 |
| 0 | 8378 | 226 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.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 x (sin.f64 y)) |
x |
(sin.f64 y) |
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))))))) |
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)))))) |
(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)))) |
(pow.f64 (sin.f64 y) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 0 binary64) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (cos.f64 y) #s(literal 3 binary64)) |
(cos.f64 y) |
(+.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))))) |
(pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) |
(*.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)))) |
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 y)) |
(*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 z)) |
(neg.f64 z) |
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 (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)) |
(fma.f64 (*.f64 z x) (/.f64 y z) z) |
(*.f64 z x) |
z |
x |
(/.f64 y z) |
y |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(sin.f64 y) |
y |
x |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
z |
(sqrt.f64 z) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
| Outputs |
|---|
(+.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)))))))) |
(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 (/.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 (cos.f64 y) z) |
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)))))) |
(cos.f64 y) |
(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)))) |
(pow.f64 (cos.f64 y) #s(literal 3 binary64)) |
(pow.f64 (sin.f64 y) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 0 binary64) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) |
(pow.f64 (cos.f64 y) #s(literal 3 binary64)) |
#s(literal 1 binary64) |
(pow.f64 (cos.f64 y) #s(literal 3 binary64)) |
(cos.f64 y) |
(+.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))))) |
(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 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)))) |
(pow.f64 (cos.f64 y) #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) |
(*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
#s(literal 0 binary64) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 z)) |
(neg.f64 z) |
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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 z x) z))) |
#s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)) |
#s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 z x) z)) |
(fma.f64 (*.f64 z x) (/.f64 y z) z) |
(fma.f64 (/.f64 y z) (*.f64 z x) z) |
(*.f64 z x) |
z |
x |
(/.f64 y z) |
y |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(sin.f64 y) |
y |
x |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
z |
(sqrt.f64 z) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.04296875 | (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) | |
| accuracy | 0.08203125 | (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) | |
| accuracy | 0.12566376953688402 | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) | |
| accuracy | 0.1484375 | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (*.f64 (sin.f64 y) x)) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.02734375 | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| accuracy | 0.05078125 | (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) | |
| accuracy | 14.809758085909603 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 z x) | |
| accuracy | 0.0 | #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)) | |
| accuracy | 6.734969240759154 | (fma.f64 (*.f64 z x) (/.f64 y z) z) | |
| accuracy | 15.61598989006407 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 18.639134229061405 | #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 z)) | |
| accuracy | 0.08984375 | (/.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)))))) | |
| accuracy | 0.12566376953688402 | (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) | |
| accuracy | 0.18949130861065208 | (pow.f64 (cos.f64 y) #s(literal 3 binary64)) | |
| accuracy | 0.19044877930532603 | (pow.f64 (sin.f64 y) #s(literal 3 binary64)) |
| 60.0ms | 133× | 0 | invalid |
| 58.0ms | 123× | 0 | valid |
Compiled 371 to 56 computations (84.9% saved)
ival-mult: 22.0ms (23.7% of total)ival-pow: 16.0ms (17.2% of total)ival-add: 13.0ms (14% of total)ival-pow2: 10.0ms (10.8% of total)ival-sin: 7.0ms (7.5% of total)ival-sqrt: 7.0ms (7.5% of total)ival-cos: 6.0ms (6.5% of total)ival-div: 5.0ms (5.4% of total)ival-neg: 3.0ms (3.2% of total)ival-sub: 2.0ms (2.2% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.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 (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 #s(literal 0 binary64) (sin.f64 y)) |
(*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 z)) |
(neg.f64 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 (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)) |
(fma.f64 (*.f64 z x) (/.f64 y z) z) |
(*.f64 z x) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(sin.f64 y) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
#s(approx (cos y) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 y) #s(literal 3 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 3 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) |
| Outputs |
|---|
(* -1 (* z (cos y))) |
(+ (* -1 (* x (sin y))) (* -1 (* z (cos y)))) |
(+ (* -1 (* z (cos y))) (* x (+ (* -1 (sin y)) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y)))))))) |
(+ (* -1 (* z (cos y))) (* x (+ (* -1 (sin y)) (* x (+ (* -1 (* x (- (* -1 (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2)))) (+ (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))) (* z (cos y))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))))) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(* x z) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (+ (/ (* z (cos y)) x) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y))))))) |
(* x (+ (sin y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (+ (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (sin y)))) (pow x 3))) (+ (/ (* z (cos y)) x) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))))))) |
(* x y) |
(* x (+ y (/ z x))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)) (* z (cos y))) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) (+ (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* x (sin y)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))))) x)) (* z (cos y))) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ 1 (* -3/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 7/8 (pow y 2)) 3/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/8 (* -61/240 (pow y 2)))) 3/2))) |
0 |
(* -1 z) |
(+ (* -1 z) (* -1 (* x y))) |
(+ (* -1 z) (* y (+ (* -1 x) (* -1 (* y (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))))))) |
(+ (* -1 z) (* y (+ (* -1 x) (* y (+ (* -1 (* y (- (* -1 (/ (pow x 3) (pow z 2))) (+ (* -1 (/ (* x (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) z)) (+ (* 1/6 x) (+ (* 1/2 x) (/ (* x (+ (* -1 (pow z 2)) (pow x 2))) (pow z 2)))))))) (* -1 (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))))))))) |
(+ 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 (* -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) (* -1/2 (* (pow y 2) (sqrt z)))) |
(+ (sqrt z) (* (pow y 2) (+ (* -1/2 (sqrt z)) (* 1/24 (* (pow y 2) (sqrt z)))))) |
(+ (sqrt z) (* (pow y 2) (+ (* -1/2 (sqrt z)) (* (pow y 2) (+ (* -1/720 (* (pow y 2) (sqrt z))) (* 1/24 (sqrt z))))))) |
(+ z (* -1 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z)))))) |
(+ 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 3) |
(* (pow y 3) (+ 1 (* -1/2 (pow y 2)))) |
(* (pow y 3) (+ 1 (* (pow y 2) (- (* 13/120 (pow y 2)) 1/2)))) |
(* (pow y 3) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 13/120 (* -41/3024 (pow y 2)))) 1/2)))) |
(cos y) |
(pow (cos y) 3) |
(* -1 (/ (- (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 3))) (+ (* z (* (cos y) (+ (* -1 (* x (sin y))) (* z (cos y))))) (* (pow x 2) (pow (sin y) 2))))) |
(* y (+ x (/ z y))) |
(sin y) |
(* (sqrt z) (cos y)) |
(* z (pow (cos y) 2)) |
(pow (cos y) 2) |
(pow (sin y) 3) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(+ (* x (sin y)) (* z (+ (cos y) (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))))) |
(+ (* x (sin y)) (* z (+ (cos y) (* z (+ (* -1 (* z (- (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))) (* x (sin y))))))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))))))) |
(* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))) |
(* z (+ (* -1 (cos y)) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))))) |
(* z (+ (* -1 (cos y)) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2))) (+ (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (cos y)) (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2)))) (pow z 3))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* -1 (* z (+ (cos y) (/ (* x (sin y)) z)))) |
(* -1 (* z (+ (cos y) (* -1 (/ (+ (* -1 (* x (sin y))) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z))) z))))) |
(* -1 (* z (+ (cos y) (* -1 (/ (+ (* -1 (* x (sin y))) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2)))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) (+ (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (* z (cos y)))) (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z))) 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 | |
|---|---|---|---|---|
| 7.0ms | z | @ | inf | ((/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (* 0 (sin y)) (* (* 0 (sin y)) (* 1 (cos y))) (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* (* z x) (/ y z)) z) (* z x) (+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* (sqrt (* (pow (cos y) 2) z)) (sqrt z)) (* (sin y) x)) (sqrt (* (pow (cos y) 2) z)) (* (pow (cos y) 2) z) (pow (cos y) 2) (pow (sin y) 3) (pow (cos y) 3) (pow (* 1 (cos y)) 2)) |
| 4.0ms | y | @ | inf | ((/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (* 0 (sin y)) (* (* 0 (sin y)) (* 1 (cos y))) (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* (* z x) (/ y z)) z) (* z x) (+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* (sqrt (* (pow (cos y) 2) z)) (sqrt z)) (* (sin y) x)) (sqrt (* (pow (cos y) 2) z)) (* (pow (cos y) 2) z) (pow (cos y) 2) (pow (sin y) 3) (pow (cos y) 3) (pow (* 1 (cos y)) 2)) |
| 4.0ms | y | @ | -inf | ((/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (* 0 (sin y)) (* (* 0 (sin y)) (* 1 (cos y))) (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* (* z x) (/ y z)) z) (* z x) (+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* (sqrt (* (pow (cos y) 2) z)) (sqrt z)) (* (sin y) x)) (sqrt (* (pow (cos y) 2) z)) (* (pow (cos y) 2) z) (pow (cos y) 2) (pow (sin y) 3) (pow (cos y) 3) (pow (* 1 (cos y)) 2)) |
| 3.0ms | z | @ | -inf | ((/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (* 0 (sin y)) (* (* 0 (sin y)) (* 1 (cos y))) (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* (* z x) (/ y z)) z) (* z x) (+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* (sqrt (* (pow (cos y) 2) z)) (sqrt z)) (* (sin y) x)) (sqrt (* (pow (cos y) 2) z)) (* (pow (cos y) 2) z) (pow (cos y) 2) (pow (sin y) 3) (pow (cos y) 3) (pow (* 1 (cos y)) 2)) |
| 2.0ms | z | @ | 0 | ((/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (* 0 (sin y)) (* (* 0 (sin y)) (* 1 (cos y))) (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* (* z x) (/ y z)) z) (* z x) (+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* (sqrt (* (pow (cos y) 2) z)) (sqrt z)) (* (sin y) x)) (sqrt (* (pow (cos y) 2) z)) (* (pow (cos y) 2) z) (pow (cos y) 2) (pow (sin y) 3) (pow (cos y) 3) (pow (* 1 (cos y)) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 400 | 1497 |
| 1 | 1552 | 1197 |
| 2 | 6660 | 1123 |
| 0 | 8158 | 1046 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (cos y))) |
(+ (* -1 (* x (sin y))) (* -1 (* z (cos y)))) |
(+ (* -1 (* z (cos y))) (* x (+ (* -1 (sin y)) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y)))))))) |
(+ (* -1 (* z (cos y))) (* x (+ (* -1 (sin y)) (* x (+ (* -1 (* x (- (* -1 (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2)))) (+ (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))) (* z (cos y))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))))) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(* x z) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (+ (/ (* z (cos y)) x) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y))))))) |
(* x (+ (sin y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (+ (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (sin y)))) (pow x 3))) (+ (/ (* z (cos y)) x) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))))))) |
(* x y) |
(* x (+ y (/ z x))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)) (* z (cos y))) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) (+ (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* x (sin y)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))))) x)) (* z (cos y))) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ 1 (* -3/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 7/8 (pow y 2)) 3/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/8 (* -61/240 (pow y 2)))) 3/2))) |
0 |
(* -1 z) |
(+ (* -1 z) (* -1 (* x y))) |
(+ (* -1 z) (* y (+ (* -1 x) (* -1 (* y (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))))))) |
(+ (* -1 z) (* y (+ (* -1 x) (* y (+ (* -1 (* y (- (* -1 (/ (pow x 3) (pow z 2))) (+ (* -1 (/ (* x (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) z)) (+ (* 1/6 x) (+ (* 1/2 x) (/ (* x (+ (* -1 (pow z 2)) (pow x 2))) (pow z 2)))))))) (* -1 (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))))))))) |
(+ 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 (* -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) (* -1/2 (* (pow y 2) (sqrt z)))) |
(+ (sqrt z) (* (pow y 2) (+ (* -1/2 (sqrt z)) (* 1/24 (* (pow y 2) (sqrt z)))))) |
(+ (sqrt z) (* (pow y 2) (+ (* -1/2 (sqrt z)) (* (pow y 2) (+ (* -1/720 (* (pow y 2) (sqrt z))) (* 1/24 (sqrt z))))))) |
(+ z (* -1 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z)))))) |
(+ 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 3) |
(* (pow y 3) (+ 1 (* -1/2 (pow y 2)))) |
(* (pow y 3) (+ 1 (* (pow y 2) (- (* 13/120 (pow y 2)) 1/2)))) |
(* (pow y 3) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 13/120 (* -41/3024 (pow y 2)))) 1/2)))) |
(cos y) |
(pow (cos y) 3) |
(* -1 (/ (- (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 3))) (+ (* z (* (cos y) (+ (* -1 (* x (sin y))) (* z (cos y))))) (* (pow x 2) (pow (sin y) 2))))) |
(* y (+ x (/ z y))) |
(sin y) |
(* (sqrt z) (cos y)) |
(* z (pow (cos y) 2)) |
(pow (cos y) 2) |
(pow (sin y) 3) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(+ (* x (sin y)) (* z (+ (cos y) (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))))) |
(+ (* x (sin y)) (* z (+ (cos y) (* z (+ (* -1 (* z (- (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))) (* x (sin y))))))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))))))) |
(* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))) |
(* z (+ (* -1 (cos y)) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))))) |
(* z (+ (* -1 (cos y)) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2))) (+ (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (cos y)) (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2)))) (pow z 3))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* -1 (* z (+ (cos y) (/ (* x (sin y)) z)))) |
(* -1 (* z (+ (cos y) (* -1 (/ (+ (* -1 (* x (sin y))) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z))) z))))) |
(* -1 (* z (+ (cos y) (* -1 (/ (+ (* -1 (* x (sin y))) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2)))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) (+ (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (* z (cos y)))) (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z))) 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 |
|---|
(* -1 (* z (cos y))) |
(*.f64 (neg.f64 z) (cos.f64 y)) |
(+ (* -1 (* x (sin y))) (* -1 (* z (cos y)))) |
(neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(+ (* -1 (* z (cos y))) (* x (+ (* -1 (sin y)) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y)))))))) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (fma.f64 #s(literal 0 binary64) x (neg.f64 (sin.f64 y))) x)) |
(+ (* -1 (* z (cos y))) (* x (+ (* -1 (sin y)) (* x (+ (* -1 (* x (- (* -1 (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2)))) (+ (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))) (* z (cos y))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))))) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z)) (/.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) z) (cos.f64 y))) (cos.f64 y))) #s(literal 0 binary64)) x (neg.f64 (sin.f64 y))) x (*.f64 (neg.f64 z) (cos.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(* x z) |
(*.f64 x z) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (+ (/ (* z (cos y)) x) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y))))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 z (cos.f64 y) (/.f64 #s(literal 0 binary64) x)) x) (sin.f64 y)) x) |
(* x (+ (sin y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (+ (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (sin y)))) (pow x 3))) (+ (/ (* z (cos y)) x) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (fma.f64 z (cos.f64 y) (/.f64 #s(literal 0 binary64) x)) x) (sin.f64 y)) (/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) z) (cos.f64 y) (/.f64 (pow.f64 (*.f64 (neg.f64 z) (cos.f64 y)) #s(literal 3 binary64)) (sin.f64 y))) (sin.f64 y))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) 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 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)) (* z (cos y))) x))))) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (sin.f64 y)) (/.f64 (fma.f64 z (cos.f64 y) (/.f64 #s(literal 0 binary64) x)) x))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) (+ (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* x (sin y)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))))) x)) (* z (cos y))) x))))) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (sin.f64 y)) (/.f64 (fma.f64 z (cos.f64 y) (/.f64 (+.f64 (+.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 z x) (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) x) (sin.f64 y))) (sin.f64 y))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 x))) x))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (neg.f64 x) (neg.f64 (+.f64 (/.f64 z x) 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)) |
(+ 1 (* -3/2 (pow y 2))) |
(fma.f64 #s(literal -3/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 7/8 (pow y 2)) 3/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 7/8 binary64) (*.f64 y y)) #s(literal 3/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/8 (* -61/240 (pow y 2)))) 3/2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -61/240 binary64) (*.f64 y y) #s(literal 7/8 binary64)) y) y) #s(literal 3/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
0 |
#s(literal 0 binary64) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* -1 (* x y))) |
(neg.f64 (fma.f64 x y z)) |
(+ (* -1 z) (* y (+ (* -1 x) (* -1 (* y (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))))))) |
(fma.f64 (neg.f64 y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) y x) (neg.f64 z)) |
(+ (* -1 z) (* y (+ (* -1 x) (* y (+ (* -1 (* y (- (* -1 (/ (pow x 3) (pow z 2))) (+ (* -1 (/ (* x (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) z)) (+ (* 1/6 x) (+ (* 1/2 x) (/ (* x (+ (* -1 (pow z 2)) (pow x 2))) (pow z 2)))))))) (* -1 (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))))))))) |
(fma.f64 (fma.f64 (neg.f64 y) (fma.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) z) z) (fma.f64 x #s(literal 2/3 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) x) z) (*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64))) x)) z))) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64))) (neg.f64 x)) y (neg.f64 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 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 (* -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 (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 z) |
(sqrt.f64 z) |
(+ (sqrt z) (* -1/2 (* (pow y 2) (sqrt z)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) |
(+ (sqrt z) (* (pow y 2) (+ (* -1/2 (sqrt z)) (* 1/24 (* (pow y 2) (sqrt z)))))) |
(fma.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) (sqrt.f64 z)) |
(+ (sqrt z) (* (pow y 2) (+ (* -1/2 (sqrt z)) (* (pow y 2) (+ (* -1/720 (* (pow y 2) (sqrt z))) (* 1/24 (sqrt z))))))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))))) |
(+ z (* -1 (* (pow y 2) z))) |
(fma.f64 (neg.f64 z) (*.f64 y y) z) |
(+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z))))) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal -1 binary64))) (*.f64 y y) z) |
(+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z)))))) |
(fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -2/45 binary64) (*.f64 y y) #s(literal 1/3 binary64))) (*.f64 y y) (neg.f64 z)) (*.f64 y y) 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 3) |
(pow.f64 y #s(literal 3 binary64)) |
(* (pow y 3) (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(* (pow y 3) (+ 1 (* (pow y 2) (- (* 13/120 (pow y 2)) 1/2)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 13/120 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 13/120 (* -41/3024 (pow y 2)))) 1/2)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -41/3024 binary64) (*.f64 y y) #s(literal 13/120 binary64)) y) y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(cos y) |
(cos.f64 y) |
(pow (cos y) 3) |
(pow.f64 (cos.f64 y) #s(literal 3 binary64)) |
(* -1 (/ (- (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 3))) (+ (* z (* (cos y) (+ (* -1 (* x (sin y))) (* z (cos y))))) (* (pow x 2) (pow (sin y) 2))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (cos.f64 y)) z (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) |
(* y (+ x (/ z y))) |
(*.f64 (+.f64 (/.f64 z y) x) y) |
(sin y) |
(sin.f64 y) |
(* (sqrt z) (cos y)) |
(*.f64 (sqrt.f64 z) (cos.f64 y)) |
(* z (pow (cos y) 2)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow (sin y) 3) |
(pow.f64 (sin.f64 y) #s(literal 3 binary64)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(*.f64 (neg.f64 y) (neg.f64 (+.f64 (/.f64 z y) x))) |
(+ (* x (sin y)) (* z (+ (cos y) (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z (cos.f64 y)) z (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (+ (cos y) (* z (+ (* -1 (* z (- (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))) (* x (sin y))))))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))))))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (/.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 (cos.f64 y) x) (/.f64 (/.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64)) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 z) #s(literal 0 binary64)) z (cos.f64 y)) z (*.f64 x (sin.f64 y))) |
(* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) (neg.f64 z)) |
(* z (+ (* -1 (cos y)) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64)) z) |
(* z (+ (* -1 (cos y)) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2))) (+ (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (cos y)) (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2)))) (pow z 3))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) x) (sin.f64 y) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (cos.f64 y))) (cos.f64 y))) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))) z) |
(* 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 (*.f64 x y) z) z z) |
(* -1 (* z (+ (cos y) (/ (* x (sin y)) z)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) (neg.f64 z)) |
(* -1 (* z (+ (cos y) (* -1 (/ (+ (* -1 (* x (sin y))) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z))) z))))) |
(*.f64 (-.f64 (cos.f64 y) (/.f64 (neg.f64 (fma.f64 x (sin.f64 y) (/.f64 #s(literal 0 binary64) z))) z)) (neg.f64 z)) |
(* -1 (* z (+ (cos y) (* -1 (/ (+ (* -1 (* x (sin y))) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2)))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) (+ (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (* z (cos y)))) (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z))) z))))) |
(*.f64 (-.f64 (cos.f64 y) (/.f64 (neg.f64 (fma.f64 x (sin.f64 y) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 y))) z) (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) z) (cos.f64 y))) (cos.f64 y))) z))) z)) (neg.f64 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 (-.f64 (*.f64 (neg.f64 x) (/.f64 y z)) #s(literal 1 binary64)) (neg.f64 z)) |
(* -1 (* z (* (cos y) (pow (sqrt -1) 2)))) |
(*.f64 z (cos.f64 y)) |
(* -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)))) |
(*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (cos.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 219 |
| 0 | 91 | 179 |
| 1 | 430 | 166 |
| 2 | 2908 | 130 |
| 0 | 8667 | 125 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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 (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 #s(literal 0 binary64) (sin.f64 y)) |
(*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 z)) |
(neg.f64 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 (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)) |
(fma.f64 (*.f64 z x) (/.f64 y z) z) |
(*.f64 z x) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(sin.f64 y) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
#s(approx (cos y) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 y) #s(literal 3 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 3 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (neg.f64 (sqrt.f64 (cos.f64 y)))) |
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (cos.f64 y))) (sqrt.f64 (neg.f64 (cos.f64 y)))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (cos.f64 y)) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal -3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (-.f64 (cos.f64 y) #s(literal 0 binary64)))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (-.f64 (cos.f64 y) #s(literal 0 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64))) |
(*.f64 (cos.f64 y) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (cos.f64 y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 y)) |
(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 0 binary64) (pow.f64 (cos.f64 y) #s(literal 5 binary64)))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 y) y)) (cos.f64 (-.f64 (neg.f64 y) y)))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.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))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 y (neg.f64 y))) (cos.f64 (-.f64 y (neg.f64 y))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(/.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 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)))) (neg.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 5 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) |
(/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 y))) |
(/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) |
(/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (cos.f64 y)) |
(/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 y))) (sqrt.f64 (neg.f64 (cos.f64 y))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (cos.f64 y) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal -3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (-.f64 (cos.f64 y) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (-.f64 (cos.f64 y) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64) (cos.f64 y)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (cos.f64 y) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) #s(literal 0 binary64)) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (acos.f64 (fabs.f64 (sin.f64 y)))) |
(sin.f64 (acos.f64 (neg.f64 (sin.f64 y)))) |
(sin.f64 (acos.f64 (sin.f64 y))) |
(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 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(fabs.f64 (neg.f64 (cos.f64 y))) |
(fabs.f64 (cos.f64 y)) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 y)))) |
(cos.f64 (asin.f64 (fabs.f64 (sin.f64 y)))) |
(cos.f64 (asin.f64 (neg.f64 (sin.f64 y)))) |
(cos.f64 (asin.f64 (sin.f64 y))) |
(cos.f64 (neg.f64 (neg.f64 y))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 y) |
(exp.f64 (-.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 1/2 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 #s(literal 0 binary64) (cos.f64 y)) |
(+.f64 (cos.f64 y) #s(literal 0 binary64)) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64))))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 12 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) |
(*.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 9/2 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) #s(literal 3 binary64))) |
(*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (cos.f64 y) #s(literal 0 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal -3 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (cos.f64 y)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 (cos.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
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(exp.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 3/2 binary64) (*.f64 (log.f64 (cos.f64 y)) #s(literal 3/2 binary64)))) |
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(+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 z)) |
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(fma.f64 (fabs.f64 (sqrt.f64 z)) (fabs.f64 (sqrt.f64 z)) (*.f64 (*.f64 (/.f64 y z) z) x)) |
(fma.f64 (*.f64 (/.f64 y z) z) x z) |
(fma.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 (/.f64 y z) z) x)) |
(fma.f64 (*.f64 (/.f64 y z) x) z z) |
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(fma.f64 (/.f64 y z) (*.f64 x z) z) |
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(fma.f64 x (*.f64 z (/.f64 y z)) z) |
(fma.f64 z (*.f64 (/.f64 y z) x) z) |
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(-.f64 z (*.f64 (neg.f64 (/.f64 y z)) (*.f64 x z))) |
(-.f64 z (*.f64 (neg.f64 (*.f64 x z)) (/.f64 y z))) |
(-.f64 z (*.f64 (neg.f64 z) (*.f64 (/.f64 y z) x))) |
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(+.f64 (*.f64 (*.f64 (/.f64 y z) z) x) z) |
(+.f64 z (*.f64 (*.f64 (/.f64 y z) z) x)) |
(*.f64 x z) |
(*.f64 z x) |
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(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
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(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 y (neg.f64 y))) (cos.f64 (-.f64 y (neg.f64 y)))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 10 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) #s(literal 0 binary64))) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) |
(/.f64 (fma.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64))))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) |
(/.f64 (fma.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (+.f64 (cos.f64 (+.f64 (neg.f64 y) y)) (cos.f64 (-.f64 (neg.f64 y) y))))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 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 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (+.f64 (cos.f64 (+.f64 y (neg.f64 y))) (cos.f64 (-.f64 y (neg.f64 y)))))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) |
(/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 10 binary64))) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) |
(/.f64 (fabs.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (fabs.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(/.f64 (fabs.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 y) y)) (cos.f64 (-.f64 (neg.f64 y) y)))) #s(literal 2 binary64)) |
(/.f64 (fabs.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 2 binary64)) |
(/.f64 (fabs.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (+.f64 (cos.f64 (+.f64 y (neg.f64 y))) (cos.f64 (-.f64 y (neg.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/.f64 (fabs.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)))) (fabs.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 y)))) (sin.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 y))) (sin.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 y)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) y)) (sin.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) y))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (neg.f64 (neg.f64 y)))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (neg.f64 (neg.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) (cos.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))) (cos.f64 (-.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) (cos.f64 (-.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 y)) y)) (cos.f64 (-.f64 (neg.f64 (neg.f64 y)) y))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 y) (neg.f64 (neg.f64 y)))) (cos.f64 (-.f64 (neg.f64 y) (neg.f64 (neg.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 y (neg.f64 (neg.f64 y)))) (cos.f64 (-.f64 y (neg.f64 (neg.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64)) #s(literal 0 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) |
(/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)))) (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 y) y)) (cos.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)) |
(/.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 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 y (neg.f64 y))) (cos.f64 (-.f64 y (neg.f64 y)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) |
(fma.f64 (neg.f64 (neg.f64 (cos.f64 y))) (neg.f64 (neg.f64 (cos.f64 y))) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (neg.f64 (cos.f64 y))) (neg.f64 (neg.f64 (cos.f64 y))) #s(literal 0 binary64)) |
(fma.f64 (fabs.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(fma.f64 (fabs.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(fma.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(fma.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (cos.f64 y)) (neg.f64 (cos.f64 y)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (cos.f64 y)) (neg.f64 (cos.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (cos.f64 y) (fabs.f64 (-.f64 (cos.f64 y) #s(literal 0 binary64))) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(fma.f64 (cos.f64 y) (fabs.f64 (-.f64 (cos.f64 y) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (cos.f64 y) (pow.f64 (-.f64 (cos.f64 y) #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(fma.f64 (cos.f64 y) (pow.f64 (-.f64 (cos.f64 y) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (cos.f64 y) (cos.f64 y) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(fma.f64 (cos.f64 y) (cos.f64 y) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) |
(-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) |
(-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (cos.f64 y)) (cos.f64 y))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(fabs.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) #s(literal 1/2 binary64))) |
(fabs.f64 (-.f64 (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(fabs.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(fabs.f64 (-.f64 (*.f64 (neg.f64 (cos.f64 y)) (cos.f64 y)) #s(literal 0 binary64))) |
(fabs.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 0 binary64))) |
(fabs.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(exp.f64 (-.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(exp.f64 (-.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 3 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(exp.f64 (-.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 3 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 y)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
Compiled 21 469 to 2 919 computations (86.4% saved)
29 alts after pruning (24 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 733 | 8 | 741 |
| Fresh | 5 | 16 | 21 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 740 | 29 | 769 |
| Status | Accuracy | Program |
|---|---|---|
| 73.7% | (fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) z (*.f64 (sin.f64 y) x)) | |
| ▶ | 30.4% | (fma.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z z) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)) |
| ▶ | 47.7% | (fma.f64 (*.f64 (sqrt.f64 z) (cos.f64 y)) (sqrt.f64 z) (*.f64 (sin.f64 y) x)) |
| 39.2% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z)) | |
| 33.0% | (fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) x)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z)) | |
| 25.7% | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) | |
| 46.0% | (fma.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| ✓ | 77.9% | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 11.5% | (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #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))))) | |
| 15.6% | (/.f64 (fma.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #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))))) | |
| 25.5% | (/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) | |
| 73.5% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (+.f64 (cosh.f64 (log.f64 (cos.f64 y))) (sinh.f64 (log.f64 (cos.f64 y)))))) | |
| ▶ | 99.8% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64))))) |
| ▶ | 2.2% | #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (fma.f64 (neg.f64 y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) y x) (neg.f64 z))) |
| 83.4% | #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) | |
| 40.8% | #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (*.f64 x (sin.f64 y))) | |
| 4.0% | #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 (fma.f64 x y z))) | |
| ✓ | 4.9% | #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 z)) |
| 89.1% | #s(approx (+ (* (sqrt (* (pow (cos y) 2) z)) (sqrt z)) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) | |
| 60.6% | #s(approx (+ (* (sqrt (* (pow (cos y) 2) z)) (sqrt z)) (* (sin y) x)) (*.f64 z (cos.f64 y))) | |
| 50.6% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) | |
| 23.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))) | |
| ✓ | 51.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 49.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 (/.f64 y z) x) z z))) | |
| ✓ | 43.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) |
| 36.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) | |
| 42.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) | |
| ▶ | 14.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
Compiled 1 332 to 839 computations (37% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) | |
| cost-diff | 0 | (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z z) #s(literal 1/4 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z z) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (sqrt.f64 z) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 z) (cos.f64 y)) | |
| cost-diff | 4 | (fma.f64 (*.f64 (sqrt.f64 z) (cos.f64 y)) (sqrt.f64 z) (*.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (fma.f64 (neg.f64 y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) y x) (neg.f64 z))) | |
| cost-diff | 1 | (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) | |
| cost-diff | 1 | (fma.f64 (neg.f64 y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) y x) (neg.f64 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 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 x (sin.f64 y)) | |
| cost-diff | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64))))) | |
| cost-diff | 5 | (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 276 |
| 0 | 94 | 271 |
| 1 | 186 | 271 |
| 2 | 492 | 268 |
| 3 | 1883 | 252 |
| 4 | 6175 | 252 |
| 0 | 8719 | 245 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64))))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64)))) |
z |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64))) |
(pow.f64 (cos.f64 y) #s(literal 3 binary64)) |
(cos.f64 y) |
#s(literal 3 binary64) |
(pow.f64 (cos.f64 y) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#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 (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (fma.f64 (neg.f64 y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) y x) (neg.f64 z))) |
(fma.f64 (neg.f64 y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) y x) (neg.f64 z)) |
(neg.f64 y) |
y |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) y x) |
(fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) |
#s(literal -1/2 binary64) |
z |
#s(literal 0 binary64) |
x |
(neg.f64 z) |
(fma.f64 (*.f64 (sqrt.f64 z) (cos.f64 y)) (sqrt.f64 z) (*.f64 (sin.f64 y) x)) |
(*.f64 (sqrt.f64 z) (cos.f64 y)) |
(sqrt.f64 z) |
z |
(cos.f64 y) |
y |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
(fma.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z z) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z z) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
#s(literal 1/4 binary64) |
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64)) |
(*.f64 z z) |
z |
(sqrt.f64 (*.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) z) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64))))) |
(fma.f64 (sin.f64 y) x (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) z)) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
x |
(sin.f64 y) |
y |
(*.f64 z (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) z) |
z |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (cos.f64 y)) |
(pow.f64 (cos.f64 y) #s(literal 3 binary64)) |
(cos.f64 y) |
#s(literal 3 binary64) |
(pow.f64 (cos.f64 y) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (+ (* y x) z) (*.f64 x y)) |
#s(approx (+ (* y x) z) (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (fma.f64 (neg.f64 y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) y x) (neg.f64 z))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z))) |
(fma.f64 (neg.f64 y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) y x) (neg.f64 z)) |
(neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z)) |
(neg.f64 y) |
y |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) y x) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) |
(fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
#s(literal 0 binary64) |
x |
(neg.f64 z) |
(fma.f64 (*.f64 (sqrt.f64 z) (cos.f64 y)) (sqrt.f64 z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(*.f64 (sqrt.f64 z) (cos.f64 y)) |
(sqrt.f64 z) |
z |
(cos.f64 y) |
y |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
(fma.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z z) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (pow.f64 (*.f64 z z) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 (sin.f64 y) x)) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z z) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 z z) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
#s(literal 1/4 binary64) |
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64)) |
(*.f64 z z) |
z |
(sqrt.f64 (*.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) z) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.046875 | (*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z z) #s(literal 1/4 binary64))) | |
| accuracy | 0.06707001953688403 | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) | |
| accuracy | 0.12890625 | (fma.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z z) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)) | |
| accuracy | 12.535069708242347 | (pow.f64 (*.f64 z z) #s(literal 1/4 binary64)) | |
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.0234375 | (*.f64 (sin.f64 y) x) | |
| accuracy | 0.0390625 | (*.f64 (sqrt.f64 z) (cos.f64 y)) | |
| accuracy | 0.12109375 | (fma.f64 (*.f64 (sqrt.f64 z) (cos.f64 y)) (sqrt.f64 z) (*.f64 (sin.f64 y) x)) | |
| accuracy | 0.0 | (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 11.32281461437265 | #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (fma.f64 (neg.f64 y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) y x) (neg.f64 z))) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 7.5611458191339995 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) | |
| accuracy | 14.35684005238686 | #s(approx (+ (* y x) z) (*.f64 x y)) | |
| accuracy | 0.02734375 | (*.f64 z (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64)))) | |
| accuracy | 0.046875 | (pow.f64 (cos.f64 y) #s(literal -2 binary64)) | |
| accuracy | 0.05859375 | (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64))) | |
| accuracy | 0.08041000976844201 | (pow.f64 (cos.f64 y) #s(literal 3 binary64)) |
| 108.0ms | 166× | 0 | invalid |
| 75.0ms | 90× | 0 | valid |
Compiled 259 to 57 computations (78% saved)
ival-mult: 60.0ms (37.7% of total)ival-pow: 40.0ms (25.2% of total)ival-add: 31.0ms (19.5% of total)ival-sin: 7.0ms (4.4% of total)ival-cos: 5.0ms (3.1% of total)ival-pow2: 5.0ms (3.1% of total)ival-neg: 4.0ms (2.5% of total)ival-sqrt: 3.0ms (1.9% of total)ival-div: 2.0ms (1.3% of total)ival-sub: 1.0ms (0.6% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64))))) |
(*.f64 x (sin.f64 y)) |
(sin.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) |
(fma.f64 (neg.f64 y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) y x) (neg.f64 z)) |
(fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (fma.f64 (neg.f64 y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) y x) (neg.f64 z))) |
(neg.f64 y) |
(fma.f64 (*.f64 (sqrt.f64 z) (cos.f64 y)) (sqrt.f64 z) (*.f64 (sin.f64 y) x)) |
(*.f64 (sqrt.f64 z) (cos.f64 y)) |
(sqrt.f64 z) |
(cos.f64 y) |
(fma.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z z) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z z) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 3 binary64)) |
(pow.f64 (cos.f64 y) #s(literal -2 binary64)) |
(*.f64 z (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64)))) |
(neg.f64 z) |
(*.f64 (sin.f64 y) x) |
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64)) |
| Outputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
z |
(+ z (* x y)) |
(* x y) |
(- (* 1/2 (* (pow y 2) z)) z) |
(- (+ (* -1 (* x y)) (* 1/2 (* (pow y 2) z))) z) |
(* -1 (* z (cos y))) |
(+ (* -1 (* x (sin y))) (* -1 (* z (cos y)))) |
(+ (* -1 (* z (cos y))) (* x (+ (* -1 (sin y)) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y)))))))) |
(+ (* -1 (* z (cos y))) (* x (+ (* -1 (sin y)) (* x (+ (* -1 (* x (- (* -1 (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2)))) (+ (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))) (* z (cos y))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))))) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ y (/ z x))) |
(* -1 (* x y)) |
(* x (- (+ (* -1 y) (* 1/2 (/ (* (pow y 2) z) x))) (/ z x))) |
(* x (+ (sin y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (+ (/ (* z (cos y)) x) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y))))))) |
(* x (+ (sin y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (+ (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (sin y)))) (pow x 3))) (+ (/ (* z (cos y)) x) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ y (* -1 (/ (- (* 1/2 (* (pow y 2) z)) z) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)) (* z (cos y))) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) (+ (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* x (sin y)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))))) x)) (* z (cos y))) x))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* 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)))) |
(* -1 z) |
(- (* -1 (* x y)) z) |
(- (* y (+ (* -1 x) (* 1/2 (* y z)))) z) |
(+ (* -1 z) (* -1 (* x y))) |
(+ (* -1 z) (* y (+ (* -1 x) (* -1 (* y (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))))))) |
(+ (* -1 z) (* y (+ (* -1 x) (* y (+ (* -1 (* y (- (* -1 (/ (pow x 3) (pow z 2))) (+ (* -1 (/ (* x (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) z)) (+ (* 1/6 x) (+ (* 1/2 x) (/ (* x (+ (* -1 (pow z 2)) (pow x 2))) (pow z 2)))))))) (* -1 (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))))))))) |
(* -1 y) |
(sqrt z) |
(+ (sqrt z) (* -1/2 (* (pow y 2) (sqrt z)))) |
(+ (sqrt z) (* (pow y 2) (+ (* -1/2 (sqrt z)) (* 1/24 (* (pow y 2) (sqrt z)))))) |
(+ (sqrt z) (* (pow y 2) (+ (* -1/2 (sqrt z)) (* (pow y 2) (+ (* -1/720 (* (pow y 2) (sqrt z))) (* 1/24 (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))))))))) |
(+ 1 (* -1/4 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* -1/96 (pow y 2)) 1/4))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -19/5760 (pow y 2)) 1/96)) 1/4))) |
(+ 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))) |
(+ 1 (* -3/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 7/8 (pow y 2)) 3/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/8 (* -61/240 (pow y 2)))) 3/2))) |
(+ 1 (pow y 2)) |
(+ 1 (* (pow y 2) (+ 1 (* 2/3 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 2/3 (* 17/45 (pow y 2))))))) |
(+ 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)))))) |
(cos y) |
(sin y) |
(* y (+ x (/ z y))) |
(* 1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1 (/ x y)) (* 1/2 z))) |
(* (pow y 2) (+ (* -1 (/ x y)) (+ (* -1 (/ z (pow y 2))) (* 1/2 z)))) |
(* -1 (/ (- (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 3))) (+ (* z (* (cos y) (+ (* -1 (* x (sin y))) (* z (cos y))))) (* (pow x 2) (pow (sin y) 2))))) |
(* (sqrt z) (cos y)) |
(sqrt (* z (cos y))) |
(sqrt (cos y)) |
(pow (cos y) 2) |
(pow (cos y) 3) |
(/ 1 (pow (cos y) 2)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* (pow y 2) (+ (* -1 (/ (+ x (/ z y)) y)) (* 1/2 z))) |
(+ (* -1 (* x y)) (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1/2 z) |
(+ (* x (sin y)) (* z (+ (cos y) (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))))) |
(+ (* x (sin y)) (* z (+ (cos y) (* z (+ (* -1 (* z (- (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))) (* x (sin y))))))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (- (* 1/2 (pow y 2)) 1)) |
(* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)) |
(* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))) |
(* z (+ (* -1 (cos y)) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))))) |
(* z (+ (* -1 (cos y)) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2))) (+ (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (cos y)) (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2)))) (pow z 3))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (+ 1 (* -1/2 (pow y 2))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))) |
(* -1 (* z (+ (cos y) (/ (* x (sin y)) z)))) |
(* -1 (* z (+ (cos y) (* -1 (/ (+ (* -1 (* x (sin y))) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z))) z))))) |
(* -1 (* z (+ (cos y) (* -1 (/ (+ (* -1 (* x (sin y))) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2)))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) (+ (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (* z (cos y)))) (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z))) z))))) |
(* -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)))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* z (* (cos y) (sqrt -1)))) |
(* -1 (* z (+ (* -1 (/ (* x (sin y)) z)) (* (cos y) (sqrt -1))))) |
(* -1 (* (sqrt (* z (cos y))) (sqrt -1))) |
(* -1 (* (sqrt z) (sqrt -1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 127.0ms | x | @ | 0 | ((* (pow (cos y) 3) (pow (cos y) -2)) (+ (* x (sin y)) (* z (* (pow (cos y) 3) (pow (cos y) -2)))) (* x (sin y)) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* (neg y) (+ (* (+ (* -1/2 z) 0) y) x)) (neg z)) (+ (* -1/2 z) 0) (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg y) (+ (* (* (sqrt z) (cos y)) (sqrt z)) (* (sin y) x)) (* (sqrt z) (cos y)) (sqrt z) (cos y) (+ (* (* (pow (pow (cos y) 2) 1/4) (pow (* z z) 1/4)) (sqrt (* (cos y) z))) (* (sin y) x)) (* (pow (pow (cos y) 2) 1/4) (pow (* z z) 1/4)) (pow (pow (cos y) 2) 1/4) (pow (cos y) 2) (pow (cos y) 3) (pow (cos y) -2) (* z (* (pow (cos y) 3) (pow (cos y) -2))) (neg z) (* (sin y) x) (pow (* z z) 1/4)) |
| 64.0ms | z | @ | 0 | ((* (pow (cos y) 3) (pow (cos y) -2)) (+ (* x (sin y)) (* z (* (pow (cos y) 3) (pow (cos y) -2)))) (* x (sin y)) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* (neg y) (+ (* (+ (* -1/2 z) 0) y) x)) (neg z)) (+ (* -1/2 z) 0) (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg y) (+ (* (* (sqrt z) (cos y)) (sqrt z)) (* (sin y) x)) (* (sqrt z) (cos y)) (sqrt z) (cos y) (+ (* (* (pow (pow (cos y) 2) 1/4) (pow (* z z) 1/4)) (sqrt (* (cos y) z))) (* (sin y) x)) (* (pow (pow (cos y) 2) 1/4) (pow (* z z) 1/4)) (pow (pow (cos y) 2) 1/4) (pow (cos y) 2) (pow (cos y) 3) (pow (cos y) -2) (* z (* (pow (cos y) 3) (pow (cos y) -2))) (neg z) (* (sin y) x) (pow (* z z) 1/4)) |
| 54.0ms | z | @ | -inf | ((* (pow (cos y) 3) (pow (cos y) -2)) (+ (* x (sin y)) (* z (* (pow (cos y) 3) (pow (cos y) -2)))) (* x (sin y)) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* (neg y) (+ (* (+ (* -1/2 z) 0) y) x)) (neg z)) (+ (* -1/2 z) 0) (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg y) (+ (* (* (sqrt z) (cos y)) (sqrt z)) (* (sin y) x)) (* (sqrt z) (cos y)) (sqrt z) (cos y) (+ (* (* (pow (pow (cos y) 2) 1/4) (pow (* z z) 1/4)) (sqrt (* (cos y) z))) (* (sin y) x)) (* (pow (pow (cos y) 2) 1/4) (pow (* z z) 1/4)) (pow (pow (cos y) 2) 1/4) (pow (cos y) 2) (pow (cos y) 3) (pow (cos y) -2) (* z (* (pow (cos y) 3) (pow (cos y) -2))) (neg z) (* (sin y) x) (pow (* z z) 1/4)) |
| 48.0ms | x | @ | inf | ((* (pow (cos y) 3) (pow (cos y) -2)) (+ (* x (sin y)) (* z (* (pow (cos y) 3) (pow (cos y) -2)))) (* x (sin y)) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* (neg y) (+ (* (+ (* -1/2 z) 0) y) x)) (neg z)) (+ (* -1/2 z) 0) (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg y) (+ (* (* (sqrt z) (cos y)) (sqrt z)) (* (sin y) x)) (* (sqrt z) (cos y)) (sqrt z) (cos y) (+ (* (* (pow (pow (cos y) 2) 1/4) (pow (* z z) 1/4)) (sqrt (* (cos y) z))) (* (sin y) x)) (* (pow (pow (cos y) 2) 1/4) (pow (* z z) 1/4)) (pow (pow (cos y) 2) 1/4) (pow (cos y) 2) (pow (cos y) 3) (pow (cos y) -2) (* z (* (pow (cos y) 3) (pow (cos y) -2))) (neg z) (* (sin y) x) (pow (* z z) 1/4)) |
| 40.0ms | y | @ | -inf | ((* (pow (cos y) 3) (pow (cos y) -2)) (+ (* x (sin y)) (* z (* (pow (cos y) 3) (pow (cos y) -2)))) (* x (sin y)) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* (neg y) (+ (* (+ (* -1/2 z) 0) y) x)) (neg z)) (+ (* -1/2 z) 0) (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg y) (+ (* (* (sqrt z) (cos y)) (sqrt z)) (* (sin y) x)) (* (sqrt z) (cos y)) (sqrt z) (cos y) (+ (* (* (pow (pow (cos y) 2) 1/4) (pow (* z z) 1/4)) (sqrt (* (cos y) z))) (* (sin y) x)) (* (pow (pow (cos y) 2) 1/4) (pow (* z z) 1/4)) (pow (pow (cos y) 2) 1/4) (pow (cos y) 2) (pow (cos y) 3) (pow (cos y) -2) (* z (* (pow (cos y) 3) (pow (cos y) -2))) (neg z) (* (sin y) x) (pow (* z z) 1/4)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 505 | 1869 |
| 1 | 1907 | 1554 |
| 2 | 7963 | 1554 |
| 0 | 8001 | 1448 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
z |
(+ z (* x y)) |
(* x y) |
(- (* 1/2 (* (pow y 2) z)) z) |
(- (+ (* -1 (* x y)) (* 1/2 (* (pow y 2) z))) z) |
(* -1 (* z (cos y))) |
(+ (* -1 (* x (sin y))) (* -1 (* z (cos y)))) |
(+ (* -1 (* z (cos y))) (* x (+ (* -1 (sin y)) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y)))))))) |
(+ (* -1 (* z (cos y))) (* x (+ (* -1 (sin y)) (* x (+ (* -1 (* x (- (* -1 (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2)))) (+ (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))) (* z (cos y))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))))) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ y (/ z x))) |
(* -1 (* x y)) |
(* x (- (+ (* -1 y) (* 1/2 (/ (* (pow y 2) z) x))) (/ z x))) |
(* x (+ (sin y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (+ (/ (* z (cos y)) x) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y))))))) |
(* x (+ (sin y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (+ (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (sin y)))) (pow x 3))) (+ (/ (* z (cos y)) x) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ y (* -1 (/ (- (* 1/2 (* (pow y 2) z)) z) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)) (* z (cos y))) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) (+ (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* x (sin y)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))))) x)) (* z (cos y))) x))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* 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)))) |
(* -1 z) |
(- (* -1 (* x y)) z) |
(- (* y (+ (* -1 x) (* 1/2 (* y z)))) z) |
(+ (* -1 z) (* -1 (* x y))) |
(+ (* -1 z) (* y (+ (* -1 x) (* -1 (* y (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))))))) |
(+ (* -1 z) (* y (+ (* -1 x) (* y (+ (* -1 (* y (- (* -1 (/ (pow x 3) (pow z 2))) (+ (* -1 (/ (* x (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) z)) (+ (* 1/6 x) (+ (* 1/2 x) (/ (* x (+ (* -1 (pow z 2)) (pow x 2))) (pow z 2)))))))) (* -1 (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))))))))) |
(* -1 y) |
(sqrt z) |
(+ (sqrt z) (* -1/2 (* (pow y 2) (sqrt z)))) |
(+ (sqrt z) (* (pow y 2) (+ (* -1/2 (sqrt z)) (* 1/24 (* (pow y 2) (sqrt z)))))) |
(+ (sqrt z) (* (pow y 2) (+ (* -1/2 (sqrt z)) (* (pow y 2) (+ (* -1/720 (* (pow y 2) (sqrt z))) (* 1/24 (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))))))))) |
(+ 1 (* -1/4 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* -1/96 (pow y 2)) 1/4))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -19/5760 (pow y 2)) 1/96)) 1/4))) |
(+ 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))) |
(+ 1 (* -3/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 7/8 (pow y 2)) 3/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/8 (* -61/240 (pow y 2)))) 3/2))) |
(+ 1 (pow y 2)) |
(+ 1 (* (pow y 2) (+ 1 (* 2/3 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 2/3 (* 17/45 (pow y 2))))))) |
(+ 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)))))) |
(cos y) |
(sin y) |
(* y (+ x (/ z y))) |
(* 1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1 (/ x y)) (* 1/2 z))) |
(* (pow y 2) (+ (* -1 (/ x y)) (+ (* -1 (/ z (pow y 2))) (* 1/2 z)))) |
(* -1 (/ (- (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 3))) (+ (* z (* (cos y) (+ (* -1 (* x (sin y))) (* z (cos y))))) (* (pow x 2) (pow (sin y) 2))))) |
(* (sqrt z) (cos y)) |
(sqrt (* z (cos y))) |
(sqrt (cos y)) |
(pow (cos y) 2) |
(pow (cos y) 3) |
(/ 1 (pow (cos y) 2)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* (pow y 2) (+ (* -1 (/ (+ x (/ z y)) y)) (* 1/2 z))) |
(+ (* -1 (* x y)) (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1/2 z) |
(+ (* x (sin y)) (* z (+ (cos y) (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))))) |
(+ (* x (sin y)) (* z (+ (cos y) (* z (+ (* -1 (* z (- (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))) (* x (sin y))))))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (- (* 1/2 (pow y 2)) 1)) |
(* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)) |
(* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))) |
(* z (+ (* -1 (cos y)) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))))) |
(* z (+ (* -1 (cos y)) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2))) (+ (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (cos y)) (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2)))) (pow z 3))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (+ 1 (* -1/2 (pow y 2))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))) |
(* -1 (* z (+ (cos y) (/ (* x (sin y)) z)))) |
(* -1 (* z (+ (cos y) (* -1 (/ (+ (* -1 (* x (sin y))) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z))) z))))) |
(* -1 (* z (+ (cos y) (* -1 (/ (+ (* -1 (* x (sin y))) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2)))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) (+ (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (* z (cos y)))) (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z))) z))))) |
(* -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)))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* z (* (cos y) (sqrt -1)))) |
(* -1 (* z (+ (* -1 (/ (* x (sin y)) z)) (* (cos y) (sqrt -1))))) |
(* -1 (* (sqrt (* z (cos y))) (sqrt -1))) |
(* -1 (* (sqrt z) (sqrt -1))) |
| 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 y) |
(*.f64 x y) |
(- (* 1/2 (* (pow y 2) z)) z) |
(-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) z) |
(- (+ (* -1 (* x y)) (* 1/2 (* (pow y 2) z))) z) |
(-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) (neg.f64 x)) y) z) |
(* -1 (* z (cos y))) |
(*.f64 (neg.f64 z) (cos.f64 y)) |
(+ (* -1 (* x (sin y))) (* -1 (* z (cos y)))) |
(neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
(+ (* -1 (* z (cos y))) (* x (+ (* -1 (sin y)) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y)))))))) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (fma.f64 #s(literal 0 binary64) x (neg.f64 (sin.f64 y))) x)) |
(+ (* -1 (* z (cos y))) (* x (+ (* -1 (sin y)) (* x (+ (* -1 (* x (- (* -1 (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2)))) (+ (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))) (* z (cos y))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))))) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z)) (fma.f64 (/.f64 (/.f64 #s(literal 0 binary64) (cos.f64 y)) z) (sin.f64 y) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)))) #s(literal 0 binary64)) x (neg.f64 (sin.f64 y))) x (*.f64 (neg.f64 z) (cos.f64 y))) |
(* 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) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (- (+ (* -1 y) (* 1/2 (/ (* (pow y 2) z) x))) (/ z x))) |
(*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) z) x)) x) |
(* x (+ (sin y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (+ (/ (* z (cos y)) x) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y))))))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 x x)) (+.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (*.f64 (*.f64 (sin.f64 y) x) x))) (sin.f64 y))) x) |
(* x (+ (sin y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (+ (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (sin y)))) (pow x 3))) (+ (/ (* z (cos y)) x) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 (*.f64 z z) (sin.f64 y)) (/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (fma.f64 (*.f64 (cos.f64 y) (/.f64 #s(literal 0 binary64) (sin.f64 y))) z (/.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (*.f64 (*.f64 (sin.f64 y) x) x))) (sin.f64 y))) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (neg.f64 x) (neg.f64 (+.f64 (/.f64 z x) y))) |
(* -1 (* x (+ y (* -1 (/ (- (* 1/2 (* (pow y 2) z)) z) x))))) |
(*.f64 (neg.f64 x) (-.f64 y (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) z) x))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)) (* z (cos y))) x))))) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (sin.f64 y)) (/.f64 (fma.f64 (cos.f64 y) z (/.f64 #s(literal 0 binary64) x)) x))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) (+ (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* x (sin y)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))))) x)) (* z (cos y))) x))))) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (sin.f64 y)) (/.f64 (fma.f64 (cos.f64 y) z (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 0 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 y) x)) (/.f64 z (sin.f64 y)) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (neg.f64 x))) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.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 (* 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) |
(* 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 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.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))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (*.f64 y (*.f64 y y)) (-.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) |
(* -1 z) |
(neg.f64 z) |
(- (* -1 (* x y)) z) |
(neg.f64 (fma.f64 x y z)) |
(- (* y (+ (* -1 x) (* 1/2 (* y z)))) z) |
(-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) (neg.f64 x)) y) z) |
(+ (* -1 z) (* -1 (* x y))) |
(neg.f64 (fma.f64 x y z)) |
(+ (* -1 z) (* y (+ (* -1 x) (* -1 (* y (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))))))) |
(fma.f64 (neg.f64 y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) y x) (neg.f64 z)) |
(+ (* -1 z) (* y (+ (* -1 x) (* y (+ (* -1 (* y (- (* -1 (/ (pow x 3) (pow z 2))) (+ (* -1 (/ (* x (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) z)) (+ (* 1/6 x) (+ (* 1/2 x) (/ (* x (+ (* -1 (pow z 2)) (pow x 2))) (pow z 2)))))))) (* -1 (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))))))))) |
(fma.f64 (fma.f64 (neg.f64 y) (fma.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) z) z) (fma.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) z) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) z) (/.f64 x z) (*.f64 x #s(literal 2/3 binary64))))) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64))) (neg.f64 x)) y (neg.f64 z)) |
(* -1 y) |
(neg.f64 y) |
(sqrt z) |
(sqrt.f64 z) |
(+ (sqrt z) (* -1/2 (* (pow y 2) (sqrt z)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (sqrt.f64 z)) |
(+ (sqrt z) (* (pow y 2) (+ (* -1/2 (sqrt z)) (* 1/24 (* (pow y 2) (sqrt z)))))) |
(fma.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) (sqrt.f64 z)) |
(+ (sqrt z) (* (pow y 2) (+ (* -1/2 (sqrt z)) (* (pow y 2) (+ (* -1/720 (* (pow y 2) (sqrt z))) (* 1/24 (sqrt z))))))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64))) (*.f64 y y) (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 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -1/48 binary64) z (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) z) (*.f64 z #s(literal 1/192 binary64))) (*.f64 y y)))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 z))) (*.f64 y y) (sqrt.f64 z)) |
(+ 1 (* -1/4 (pow y 2))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* -1/96 (pow y 2)) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 y y)) #s(literal 1/4 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -19/5760 (pow y 2)) 1/96)) 1/4))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 y y)) #s(literal 1/96 binary64)) y) y) #s(literal 1/4 binary64)) (*.f64 y y) #s(literal 1 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 (-.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)) |
(+ 1 (* -3/2 (pow y 2))) |
(fma.f64 #s(literal -3/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 7/8 (pow y 2)) 3/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 7/8 binary64) (*.f64 y y)) #s(literal 3/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/8 (* -61/240 (pow y 2)))) 3/2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -61/240 binary64) (*.f64 y y) #s(literal 7/8 binary64)) y) y) #s(literal 3/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1 (* 2/3 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 2/3 (* 17/45 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 y y) #s(literal 2/3 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ z (* -1/2 (* (pow y 2) z))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #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 (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) |
(cos y) |
(cos.f64 y) |
(sin y) |
(sin.f64 y) |
(* y (+ x (/ z y))) |
(*.f64 (+.f64 (/.f64 z y) x) y) |
(* 1/2 (* (pow y 2) z)) |
(*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) |
(* (pow y 2) (+ (* -1 (/ x y)) (* 1/2 z))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (neg.f64 x) y)) y) y) |
(* (pow y 2) (+ (* -1 (/ x y)) (+ (* -1 (/ z (pow y 2))) (* 1/2 z)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (neg.f64 (+.f64 (/.f64 z y) x)) y)) y) y) |
(* -1 (/ (- (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 3))) (+ (* z (* (cos y) (+ (* -1 (* x (sin y))) (* z (cos y))))) (* (pow x 2) (pow (sin y) 2))))) |
(/.f64 (neg.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 (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)) (cos.f64 y)) z (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) |
(* (sqrt z) (cos y)) |
(*.f64 (sqrt.f64 z) (cos.f64 y)) |
(sqrt (* z (cos y))) |
(sqrt.f64 (*.f64 (cos.f64 y) z)) |
(sqrt (cos y)) |
(sqrt.f64 (cos.f64 y)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow (cos y) 3) |
(pow.f64 (cos.f64 y) #s(literal 3 binary64)) |
(/ 1 (pow (cos y) 2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(*.f64 (neg.f64 y) (neg.f64 (+.f64 (/.f64 z y) x))) |
(* (pow y 2) (+ (* -1 (/ (+ x (/ z y)) y)) (* 1/2 z))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (neg.f64 (+.f64 (/.f64 z y) x)) y)) y) y) |
(+ (* -1 (* x y)) (* z (- (* 1/2 (pow y 2)) 1))) |
(fma.f64 (neg.f64 x) y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z)) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(+ (* x (sin y)) (* z (+ (cos y) (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z (cos.f64 y)) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (+ (cos y) (* z (+ (* -1 (* z (- (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))) (* x (sin y))))))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))))))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (/.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 (cos.f64 y) x) (/.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 z) #s(literal 0 binary64)) z (cos.f64 y)) z (*.f64 (sin.f64 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 (- (* 1/2 (pow y 2)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) |
(* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) |
(* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))) z) |
(* z (+ (* -1 (cos y)) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64)) z) |
(* z (+ (* -1 (cos y)) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2))) (+ (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (cos y)) (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2)))) (pow z 3))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 x (cos.f64 y)) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))) (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(*.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 y z)) #s(literal 1 binary64)) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1/2 (pow y 2))))) |
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* -1 (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))) |
(*.f64 (fma.f64 (/.f64 y z) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) (neg.f64 z)) |
(* -1 (* z (+ (cos y) (/ (* x (sin y)) z)))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))) z) |
(* -1 (* z (+ (cos y) (* -1 (/ (+ (* -1 (* x (sin y))) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z))) z))))) |
(*.f64 (-.f64 (cos.f64 y) (/.f64 (neg.f64 (fma.f64 (sin.f64 y) x (/.f64 #s(literal 0 binary64) z))) z)) (neg.f64 z)) |
(* -1 (* z (+ (cos y) (* -1 (/ (+ (* -1 (* x (sin y))) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2)))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) (+ (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (* z (cos y)))) (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z))) z))))) |
(*.f64 (-.f64 (cos.f64 y) (/.f64 (neg.f64 (fma.f64 (sin.f64 y) x (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) z) #s(literal 0 binary64)) (fma.f64 (neg.f64 (/.f64 x z)) (*.f64 (sin.f64 y) (/.f64 #s(literal 0 binary64) (cos.f64 y))) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z))) z)) (neg.f64 z)) |
(* -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 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))) (neg.f64 z)) |
(* -1 (* (sqrt z) (* (cos y) (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1 binary64)) (cos.f64 y)) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 z) #s(literal 1 binary64)) |
(* -1 (* z (* (cos y) (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (cos.f64 y)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ (* x (sin y)) z)) (* (cos y) (sqrt -1))))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (cos.f64 y) (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) z))) (neg.f64 z)) |
(* -1 (* (sqrt (* z (cos y))) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (cos.f64 y) z))) |
(* -1 (* (sqrt z) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 225 |
| 0 | 94 | 194 |
| 1 | 389 | 177 |
| 2 | 2863 | 146 |
| 0 | 8359 | 137 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64))))) |
(*.f64 x (sin.f64 y)) |
(sin.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) |
(fma.f64 (neg.f64 y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) y x) (neg.f64 z)) |
(fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (fma.f64 (neg.f64 y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) y x) (neg.f64 z))) |
(neg.f64 y) |
(fma.f64 (*.f64 (sqrt.f64 z) (cos.f64 y)) (sqrt.f64 z) (*.f64 (sin.f64 y) x)) |
(*.f64 (sqrt.f64 z) (cos.f64 y)) |
(sqrt.f64 z) |
(cos.f64 y) |
(fma.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z z) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z z) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 3 binary64)) |
(pow.f64 (cos.f64 y) #s(literal -2 binary64)) |
(*.f64 z (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64)))) |
(neg.f64 z) |
(*.f64 (sin.f64 y) x) |
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64)) |
| Outputs |
|---|
(*.f64 (fabs.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3/2 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 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) #s(literal 1 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 (pow.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3/2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (neg.f64 (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 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (fabs.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (cos.f64 y)) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) |
(*.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 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64))) |
(*.f64 (cos.f64 y) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) #s(literal 4 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 (-.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)) |
(fma.f64 (fabs.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3/2 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 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) #s(literal 1 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 (pow.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3/2 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 (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 (cos.f64 y) #s(literal 3/2 binary64)) (fabs.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64))) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1/2 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 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.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 (sin.f64 y) #s(literal 0 binary64) (cos.f64 y)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 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))) |
(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 1/2 binary64) (*.f64 (log.f64 (cos.f64 y)) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 (cos.f64 y))))) |
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (cos.f64 y))) (*.f64 (log.f64 (cos.f64 y)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 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))) |
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(*.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal -6 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3/2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (cos.f64 y)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 (cos.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (cos.f64 y))) |
(pow.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 3 binary64)) |
(fabs.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) |
(exp.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 3/2 binary64) (*.f64 (log.f64 (cos.f64 y)) #s(literal 3/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (log.f64 (cos.f64 y)))) |
(exp.f64 (+.f64 (log.f64 (cos.f64 y)) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal -4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (cos.f64 y) #s(literal -4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (cos.f64 y) #s(literal -4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal -4 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal -4 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) (pow.f64 (cos.f64 y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (cos.f64 y))) |
(pow.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (cos.f64 y) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(fabs.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal -1 binary64) (*.f64 (log.f64 (cos.f64 y)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64))))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal -1 binary64)))) (pow.f64 (cos.f64 y) #s(literal -1 binary64))) |
(*.f64 (fabs.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal -2 binary64)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) |
(*.f64 (fabs.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (pow.f64 (cos.f64 y) #s(literal -2 binary64))) |
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 z) (cos.f64 y))) (sqrt.f64 z)) |
(*.f64 (exp.f64 (log.f64 z)) (cos.f64 y)) |
(*.f64 (*.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal -1 binary64))) (pow.f64 (cos.f64 y) #s(literal -1 binary64))) |
(*.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal -2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) |
(*.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal -2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (cos.f64 y)) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (fabs.f64 (*.f64 (sqrt.f64 z) (cos.f64 y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) (fabs.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fabs.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) z))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) z)) |
(*.f64 (cos.f64 y) (exp.f64 (log.f64 z))) |
(*.f64 (cos.f64 y) z) |
(fabs.f64 (*.f64 (neg.f64 z) (cos.f64 y))) |
(fabs.f64 (*.f64 z (cos.f64 y))) |
(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))))) |
(neg.f64 z) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)))) |
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))) (fabs.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)))) |
(*.f64 (fabs.f64 (neg.f64 (sin.f64 y))) (fabs.f64 x)) |
(*.f64 (fabs.f64 (sin.f64 y)) (fabs.f64 x)) |
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y)))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 (fabs.f64 x) (fabs.f64 (neg.f64 (sin.f64 y)))) |
(*.f64 (fabs.f64 x) (fabs.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) (sin.f64 y))) |
(fabs.f64 (*.f64 (sin.f64 y) x)) |
(fabs.f64 (*.f64 (neg.f64 x) (sin.f64 y))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (sin.f64 y) x))) (sinh.f64 (log.f64 (*.f64 (sin.f64 y) x)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64))))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 z)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (neg.f64 z)) #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64))) (neg.f64 (pow.f64 z #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 z) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64)) |
(pow.f64 (neg.f64 z) #s(literal 1/2 binary64)) |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
(fabs.f64 (sqrt.f64 z)) |
(exp.f64 (fma.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1/8 binary64)))) |
(exp.f64 (fma.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1/8 binary64) (*.f64 (log.f64 z) #s(literal 1/4 binary64)))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1/8 binary64)))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/4 binary64) (*.f64 (log.f64 z) #s(literal 1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1/8 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 z))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 z))) (sinh.f64 (log.f64 (sqrt.f64 z)))) |
Compiled 19 638 to 2 563 computations (86.9% saved)
32 alts after pruning (25 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 721 | 9 | 730 |
| Fresh | 3 | 16 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 727 | 32 | 759 |
| Status | Accuracy | Program |
|---|---|---|
| 73.7% | (fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) z (*.f64 (sin.f64 y) x)) | |
| 99.4% | (fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) z) (*.f64 (sin.f64 y) x)) | |
| 47.7% | (fma.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)) (cos.f64 y)) (sqrt.f64 z) (*.f64 (sin.f64 y) x)) | |
| 30.5% | (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z z) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)) | |
| ✓ | 47.7% | (fma.f64 (*.f64 (sqrt.f64 z) (cos.f64 y)) (sqrt.f64 z) (*.f64 (sin.f64 y) x)) |
| 39.2% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z)) | |
| 33.0% | (fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) x)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z)) | |
| 25.7% | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) | |
| 46.0% | (fma.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| ✓ | 77.9% | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 11.5% | (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #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))))) | |
| 25.5% | (/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) | |
| 2.2% | #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (neg.f64 y) (fma.f64 (neg.f64 y) x (neg.f64 z)))) | |
| 83.4% | #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) | |
| 40.8% | #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (*.f64 x (sin.f64 y))) | |
| 2.2% | #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z x) y z))) | |
| 4.0% | #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 (fma.f64 x y z))) | |
| ✓ | 4.9% | #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 z)) |
| 2.1% | #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) #s(approx (+ (* (neg y) (+ (* (+ (* -1/2 z) 0) y) x)) (neg z)) (*.f64 (fma.f64 (/.f64 y z) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) (neg.f64 z)))) | |
| 3.4% | #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) #s(approx (+ (* (neg y) (+ (* (+ (* -1/2 z) 0) y) x)) (neg z)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64)))) | |
| 3.3% | #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) #s(approx (+ (* (neg y) (+ (* (+ (* -1/2 z) 0) y) x)) (neg z)) (*.f64 (neg.f64 y) x))) | |
| 60.6% | #s(approx (+ (* (* (sqrt z) (cos y)) (sqrt z)) (* (sin y) x)) (*.f64 (cos.f64 y) z)) | |
| 89.1% | #s(approx (+ (* (sqrt (* (pow (cos y) 2) z)) (sqrt z)) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) | |
| 50.6% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) | |
| 23.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))) | |
| ✓ | 51.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 49.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 (/.f64 y z) x) z z))) | |
| ✓ | 43.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) |
| 36.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) | |
| 42.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) | |
| ✓ | 14.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
Compiled 2 518 to 843 computations (66.5% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 z)) |
#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 (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) #s(approx (+ (* (neg y) (+ (* (+ (* -1/2 z) 0) y) x)) (neg z)) (*.f64 (neg.f64 y) x))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 (fma.f64 x y z))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) #s(approx (+ (* (neg y) (+ (* (+ (* -1/2 z) 0) y) x)) (neg z)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64)))) |
#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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z x) 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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 (/.f64 y z) x) z z))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (fma.f64 (neg.f64 y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) y x) (neg.f64 z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 y z)) #s(literal 1 binary64)) (neg.f64 z)))) |
#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 (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (neg.f64 y) (fma.f64 (neg.f64 y) x (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) #s(approx (+ (* (neg y) (+ (* (+ (* -1/2 z) 0) y) x)) (neg z)) (*.f64 (fma.f64 (/.f64 y z) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sqrt (* (pow (cos y) 2) z)) (sqrt z)) (* (sin y) x)) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* (* (sqrt z) (cos y)) (sqrt z)) (* (sin y) x)) (*.f64 (cos.f64 y) z)) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (*.f64 x (sin.f64 y))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (*.f64 (neg.f64 z) (cos.f64 y))) |
(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 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.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 (sin.f64 y) z) x (cos.f64 y)) z)) |
#s(approx (+ (* (sqrt (* (pow (cos y) 2) z)) (sqrt z)) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) |
(fma.f64 (*.f64 (sqrt.f64 z) (cos.f64 y)) (sqrt.f64 z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (*.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 (sin.f64 y) x) x)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z)) |
(fma.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)) (cos.f64 y)) (sqrt.f64 z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64))))) |
(fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z z) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)) |
(fma.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z z) #s(literal 1/4 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))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (+.f64 (cosh.f64 (log.f64 (cos.f64 y))) (sinh.f64 (log.f64 (cos.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))) (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 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #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 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #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 (*.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 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #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:
| 18.0ms | x |
| 17.0ms | y |
| 15.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 14.0ms | 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 (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 z)) |
#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 (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) #s(approx (+ (* (neg y) (+ (* (+ (* -1/2 z) 0) y) x)) (neg z)) (*.f64 (neg.f64 y) x))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 (fma.f64 x y z))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) #s(approx (+ (* (neg y) (+ (* (+ (* -1/2 z) 0) y) x)) (neg z)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64)))) |
#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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z x) 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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 (/.f64 y z) x) z z))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (fma.f64 (neg.f64 y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) y x) (neg.f64 z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 y z)) #s(literal 1 binary64)) (neg.f64 z)))) |
#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 (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (neg.f64 y) (fma.f64 (neg.f64 y) x (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) #s(approx (+ (* (neg y) (+ (* (+ (* -1/2 z) 0) y) x)) (neg z)) (*.f64 (fma.f64 (/.f64 y z) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sqrt (* (pow (cos y) 2) z)) (sqrt z)) (* (sin y) x)) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* (* (sqrt z) (cos y)) (sqrt z)) (* (sin y) x)) (*.f64 (cos.f64 y) z)) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (*.f64 x (sin.f64 y))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (*.f64 (neg.f64 z) (cos.f64 y))) |
(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)))) |
| Outputs |
|---|
(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)) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
4 calls:
| 9.0ms | z |
| 9.0ms | x |
| 7.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.9% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 90.8% | 3 | x |
| 83.4% | 3 | y |
| 89.0% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 z)) |
#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 (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) #s(approx (+ (* (neg y) (+ (* (+ (* -1/2 z) 0) y) x)) (neg z)) (*.f64 (neg.f64 y) x))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 (fma.f64 x y z))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) #s(approx (+ (* (neg y) (+ (* (+ (* -1/2 z) 0) y) x)) (neg z)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64)))) |
#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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z x) 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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 (/.f64 y z) x) z z))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (fma.f64 (neg.f64 y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) y x) (neg.f64 z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 y z)) #s(literal 1 binary64)) (neg.f64 z)))) |
#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 (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (neg.f64 y) (fma.f64 (neg.f64 y) x (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) #s(approx (+ (* (neg y) (+ (* (+ (* -1/2 z) 0) y) x)) (neg z)) (*.f64 (fma.f64 (/.f64 y z) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sqrt (* (pow (cos y) 2) z)) (sqrt z)) (* (sin y) x)) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* (* (sqrt z) (cos y)) (sqrt z)) (* (sin y) x)) (*.f64 (cos.f64 y) z)) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (*.f64 x (sin.f64 y))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (*.f64 (neg.f64 z) (cos.f64 y))) |
| Outputs |
|---|
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (*.f64 x (sin.f64 y))) |
#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 (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (*.f64 x (sin.f64 y))) |
3 calls:
| 8.0ms | x |
| 8.0ms | y |
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.8% | 4 | y |
| 77.5% | 3 | z |
| 77.8% | 3 | x |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 z)) |
#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 (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) #s(approx (+ (* (neg y) (+ (* (+ (* -1/2 z) 0) y) x)) (neg z)) (*.f64 (neg.f64 y) x))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 (fma.f64 x y z))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) #s(approx (+ (* (neg y) (+ (* (+ (* -1/2 z) 0) y) x)) (neg z)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64)))) |
#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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z x) 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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 (/.f64 y z) x) z z))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (fma.f64 (neg.f64 y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) y x) (neg.f64 z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 y z)) #s(literal 1 binary64)) (neg.f64 z)))) |
#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 (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (neg.f64 y) (fma.f64 (neg.f64 y) x (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) #s(approx (+ (* (neg y) (+ (* (+ (* -1/2 z) 0) y) x)) (neg z)) (*.f64 (fma.f64 (/.f64 y z) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sqrt (* (pow (cos y) 2) z)) (sqrt z)) (* (sin y) x)) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* (* (sqrt z) (cos y)) (sqrt z)) (* (sin y) x)) (*.f64 (cos.f64 y) z)) |
| Outputs |
|---|
#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 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
4 calls:
| 7.0ms | x |
| 6.0ms | z |
| 6.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.2% | 3 | z |
| 67.8% | 3 | x |
| 60.6% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 73.0% | 3 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 z)) |
#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 (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) #s(approx (+ (* (neg y) (+ (* (+ (* -1/2 z) 0) y) x)) (neg z)) (*.f64 (neg.f64 y) x))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 (fma.f64 x y z))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) #s(approx (+ (* (neg y) (+ (* (+ (* -1/2 z) 0) y) x)) (neg z)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64)))) |
#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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z x) 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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 (/.f64 y z) x) z z))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (fma.f64 (neg.f64 y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64)) y x) (neg.f64 z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 y z)) #s(literal 1 binary64)) (neg.f64 z)))) |
#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 (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (neg.f64 y) (fma.f64 (neg.f64 y) x (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) #s(approx (+ (* (neg y) (+ (* (+ (* -1/2 z) 0) y) x)) (neg z)) (*.f64 (fma.f64 (/.f64 y z) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) (neg.f64 z)))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
4 calls:
| 33.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 31.0ms | z |
| 5.0ms | x |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.6% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 51.6% | 1 | x |
| 51.6% | 1 | z |
| 51.6% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| Outputs |
|---|
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
4 calls:
| 1.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 14.8% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 14.8% | 1 | x |
| 14.8% | 1 | z |
| 16.5% | 2 | y |
Compiled 12 to 17 computations (-41.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 z)) |
| Outputs |
|---|
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 z)) |
4 calls:
| 1.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.9% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 4.9% | 1 | z |
| 4.9% | 1 | x |
| 4.9% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 3.439092331078225e-95 | 4.7153300059984333e-94 |
| 74.0ms | -9.84842264905666e-70 | -1.7533565357079e-72 |
| 77.0ms | 224× | 0 | valid |
Compiled 348 to 322 computations (7.5% saved)
ival-cos: 61.0ms (86.6% of total)ival-sin: 6.0ms (8.5% of total)ival-mult: 3.0ms (4.3% of total)ival-add: 1.0ms (1.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 57.0ms | 2.209366670447375e-18 | 8.616503906589419e-17 |
| 13.0ms | -1.1628124753454214e-7 | -4.9093215096490764e-11 |
| 73.0ms | -8.559561876011708e+241 | -2.0785093835398945e+231 |
| 82.0ms | 400× | 0 | valid |
Compiled 1 188 to 803 computations (32.4% saved)
ival-mult: 53.0ms (73.7% of total)ival-sin: 10.0ms (13.9% of total)ival-cos: 7.0ms (9.7% of total)ival-add: 2.0ms (2.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 11651645.522007061 | 104754787.54280758 |
| 40.0ms | -521.099133406211 | -1.1628124753454214e-7 |
| 44.0ms | 256× | 0 | valid |
Compiled 620 to 478 computations (22.9% saved)
ival-cos: 27.0ms (72.5% of total)ival-sin: 5.0ms (13.4% of total)ival-mult: 3.0ms (8.1% of total)ival-add: 1.0ms (2.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 37.0ms | -912462772385.6597 | -1610769279.8592732 |
| 32.0ms | 128× | 0 | valid |
Compiled 484 to 310 computations (36% saved)
ival-cos: 21.0ms (74% of total)ival-sin: 5.0ms (17.6% of total)ival-mult: 2.0ms (7% of total)ival-add: 1.0ms (3.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 325 |
| 1 | 136 | 325 |
| 2 | 284 | 325 |
| 3 | 1052 | 321 |
| 4 | 3219 | 321 |
| 5 | 5674 | 321 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(if (<=.f64 x #s(literal -5172161658661781/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (if (<=.f64 x #s(literal 211368832449645/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 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 y #s(literal -2700000000000000171788392676263227365620239957362455896319921825017625957852904019167589462276297324495684064041678235078975275170114452326988657062219418522974306892149701412939393599443126178159895946479905255384607566042342270959616 binary64)) #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (*.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal -8689154328480147/75557863725914323419136 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 215500602038799/2535301200456458802993406410752 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (*.f64 x (sin.f64 y)))))) |
(if (<=.f64 y #s(literal -3314649325744685/288230376151711744 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 12000000 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 (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(if (<=.f64 y #s(literal -7900000000 binary64)) #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 z)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 z)) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(if (<=.f64 x #s(literal -5172161658661781/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (if (<=.f64 x #s(literal 211368832449645/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 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 (or (<=.f64 x #s(literal -5172161658661781/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) (not (<=.f64 x #s(literal 211368832449645/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 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 y #s(literal -2700000000000000171788392676263227365620239957362455896319921825017625957852904019167589462276297324495684064041678235078975275170114452326988657062219418522974306892149701412939393599443126178159895946479905255384607566042342270959616 binary64)) #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (*.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal -8689154328480147/75557863725914323419136 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 215500602038799/2535301200456458802993406410752 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (*.f64 x (sin.f64 y)))))) |
(if (<=.f64 y #s(literal -3314649325744685/288230376151711744 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 12000000 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 (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (or (<=.f64 y #s(literal -3314649325744685/288230376151711744 binary64)) (not (<=.f64 y #s(literal 12000000 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 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(if (<=.f64 y #s(literal -7900000000 binary64)) #s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 z)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))) |
#s(approx (/ (- (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (neg (+ (* (+ (* (cos y) z) (* (neg x) (sin y))) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg.f64 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 |
| 0 | 462 | 1811 |
| 1 | 1816 | 1491 |
| 0 | 8112 | 1395 |
| 0 | 34 | 149 |
| 0 | 59 | 114 |
| 1 | 246 | 114 |
| 2 | 1684 | 114 |
| 0 | 9189 | 113 |
| 0 | 109 | 288 |
| 1 | 417 | 284 |
| 2 | 1479 | 274 |
| 3 | 3945 | 272 |
| 4 | 7797 | 272 |
| 0 | 8009 | 241 |
| 0 | 400 | 1497 |
| 1 | 1552 | 1197 |
| 2 | 6660 | 1123 |
| 0 | 8158 | 1046 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 441 to 167 computations (62.1% saved)
Compiled 676 to 172 computations (74.6% saved)
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