
Time bar (total: 8.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 1.3s | 8 256× | 0 | valid |
ival-cos: 335.0ms (41.3% of total)ival-sin: 281.0ms (34.7% of total)ival-mult: 148.0ms (18.3% of total)ival-add: 36.0ms (4.4% of total)ival-true: 5.0ms (0.6% of total)ival-assert: 3.0ms (0.4% of total)adjust: 2.0ms (0.2% 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 |
| 90.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-cos: 10.0ms (32.5% of total)ival-sin: 10.0ms (32.5% of total)ival-mult: 7.0ms (22.7% of total)ival-add: 2.0ms (6.5% of total)ival-true: 0.0ms (0% of total)adjust: 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 | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.01953125 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.09765625 | (*.f64 x (sin.f64 y)) | |
| accuracy | 0.1015625 | (*.f64 z (cos.f64 y)) |
| 48.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-sin: 31.0ms (76.7% of total)ival-cos: 5.0ms (12.4% of total)ival-mult: 4.0ms (9.9% of total)ival-add: 1.0ms (2.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
| 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)))))) |
(sin y) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y))) |
| 1.0ms | x | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y))) |
| 1.0ms | x | @ | -inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y))) |
| 1.0ms | y | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y))) |
| 1.0ms | z | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 246 |
| 1 | 383 | 242 |
| 2 | 1408 | 232 |
| 3 | 3772 | 230 |
| 4 | 7418 | 230 |
| 0 | 8306 | 203 |
| 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)))))) |
(sin 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 #s(literal -1/2 binary64) y) y #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 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 y y) z) |
(sin y) |
(sin.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 | 19 |
| 0 | 13 | 19 |
| 1 | 39 | 19 |
| 2 | 251 | 19 |
| 3 | 2629 | 19 |
| 0 | 8333 | 18 |
| 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)) |
| 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))))) |
(/.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 (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 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)) (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)) #s(literal 2 binary64))) |
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(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 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))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.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 (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))))) |
(fma.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (/.f64 (*.f64 (cos.f64 y) z) (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 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (/.f64 (*.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 (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))))) |
(fma.f64 (*.f64 (cos.f64 y) z) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #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)))) (/.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 (cos.f64 y) z (*.f64 (neg.f64 (neg.f64 x)) (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (neg.f64 (neg.f64 x)) (sin.f64 y))) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 (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)))) (/.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))))) |
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 (*.f64 (sin.f64 y) x) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)))) |
(fma.f64 (sin.f64 y) (/.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)))) |
(fma.f64 (sin.f64 y) x (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (neg.f64 (cos.f64 y)) (neg.f64 z))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)))) |
(fma.f64 x (sin.f64 y) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z)) |
(fma.f64 x (sin.f64 y) (*.f64 (neg.f64 (cos.f64 y)) (neg.f64 z))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(-.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 (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 (/.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 (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))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)))) |
(-.f64 (*.f64 (cos.f64 y) z) (*.f64 (neg.f64 x) (sin.f64 y))) |
(-.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 z) (cos.f64 y))) |
(+.f64 (/.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)))) (/.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 (/.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 (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))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (neg.f64 (neg.f64 x)) (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z)) |
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 (cos.f64 y)) (neg.f64 z))) |
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) |
(*.f64 (fabs.f64 (fabs.f64 (sin.f64 y))) (fabs.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 (sin.f64 y)))) |
(*.f64 (sqrt.f64 (neg.f64 (*.f64 (neg.f64 x) (sin.f64 y)))) (sqrt.f64 (neg.f64 (*.f64 (neg.f64 x) (sin.f64 y))))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) (sin.f64 y))) (sqrt.f64 (*.f64 (neg.f64 x) (sin.f64 y)))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) x)) (sqrt.f64 (sin.f64 y))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) x))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) 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 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (sin.f64 y)) (fabs.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(pow.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (*.f64 (neg.f64 x) (sin.f64 y)))) |
(fabs.f64 (*.f64 (neg.f64 x) (sin.f64 y))) |
(fabs.f64 (*.f64 (sin.f64 y) x)) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) #s(literal 1 binary64))) |
(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)))) |
(neg.f64 (neg.f64 (sin.f64 y))) |
(sin.f64 (neg.f64 (+.f64 y (PI.f64)))) |
(sin.f64 (+.f64 (+.f64 y (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 y) (PI.f64))) |
(sin.f64 y) |
(cos.f64 (+.f64 (+.f64 y (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(*.f64 (fabs.f64 (fabs.f64 (cos.f64 y))) (fabs.f64 (fabs.f64 z))) |
(*.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 (cos.f64 y)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (neg.f64 z))) (sqrt.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (neg.f64 z))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 z) (cos.f64 y))) (sqrt.f64 (*.f64 (neg.f64 z) (cos.f64 y)))) |
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 (neg.f64 z) (cos.f64 y))))) |
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) (cos.f64 y))))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y)))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (cos.f64 y)) (fabs.f64 z)) |
(*.f64 (fabs.f64 z) (fabs.f64 (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (*.f64 (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 z) (cos.f64 y))) |
(fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) z (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) z)) |
(fma.f64 z (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 z (*.f64 #s(literal 1 binary64) (cos.f64 y)))) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (neg.f64 z) (cos.f64 y))) |
(fabs.f64 (*.f64 (cos.f64 y) z)) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (cos.f64 y) z))) (sinh.f64 (log.f64 (*.f64 (cos.f64 y) z)))) |
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) z) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) z)) |
(+.f64 (*.f64 z (*.f64 #s(literal 0 binary64) (sin.f64 y))) (*.f64 z (*.f64 #s(literal 1 binary64) (cos.f64 y)))) |
Compiled 6 821 to 650 computations (90.5% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 244 | 15 | 259 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 245 | 15 | 260 |
| Status | Accuracy | Program |
|---|---|---|
| 29.3% | (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))))) | |
| 36.9% | (fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) | |
| 25.7% | (fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x)) | |
| 40.1% | (fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z)) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) x)) | |
| ▶ | 99.9% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| ▶ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 17.7% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) | |
| ▶ | 54.8% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) |
| 59.9% | (+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (fma.f64 (*.f64 (*.f64 y y) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z))) | |
| 62.8% | (+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))) | |
| 52.2% | (*.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))))) | |
| 56.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| 55.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) | |
| ▶ | 57.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| ▶ | 59.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
Compiled 758 to 410 computations (45.9% saved)
| 1× | egg-herbie |
Found 17 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 2 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) | |
| cost-diff | 15 | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) | |
| 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)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) z) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) | |
| 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 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) z) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 161 |
| 0 | 40 | 144 |
| 1 | 75 | 144 |
| 2 | 160 | 144 |
| 3 | 481 | 144 |
| 4 | 1457 | 144 |
| 5 | 4915 | 144 |
| 0 | 8148 | 144 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
y |
x |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
y |
x |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
(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 |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (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 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
(fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (neg.f64 x) (sin.f64 y)) |
(neg.f64 x) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(sin.f64 y) |
y |
x |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (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 |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
y |
z |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(cos.f64 y) |
y |
z |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
y |
z |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
(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) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12728500976844204 | (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) | |
| accuracy | 0.232753759768442 | (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) | |
| accuracy | 2.8984251149812352 | (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) | |
| accuracy | 28.74066325871096 | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) | |
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.0625 | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) | |
| accuracy | 0.09765625 | (*.f64 (sin.f64 y) x) | |
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.1015625 | (*.f64 (cos.f64 y) z) | |
| accuracy | 25.95342769914983 | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) | |
| accuracy | 0.0 | (fma.f64 y x z) | |
| accuracy | 26.929866240525154 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) | |
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.04296875 | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) | |
| accuracy | 0.1015625 | (*.f64 (cos.f64 y) z) |
| 100.0ms | 256× | 0 | valid |
Compiled 158 to 24 computations (84.8% saved)
ival-add: 26.0ms (46.3% of total)ival-mult: 10.0ms (17.8% of total)ival-sin: 6.0ms (10.7% of total)ival-cos: 5.0ms (8.9% of total)ival-pow2: 5.0ms (8.9% of total)ival-div: 2.0ms (3.6% of total)ival-sub: 1.0ms (1.8% of total)ival-neg: 1.0ms (1.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (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 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
| Outputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(* x (sin y)) |
(* (pow z 2) (pow (cos y) 2)) |
(+ (* -1 (* (pow x 2) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 2))) |
(* (pow x 2) (pow (sin y) 2)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* -1 (* (pow x 2) (pow (sin y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
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))) |
(* 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))))))) |
(+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x)))) |
(+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x)))) |
(pow z 2) |
(+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2)) |
(+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2)) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2)) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2)) |
(* (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))) |
(sin y) |
(cos y) |
(* y (+ x (/ z y))) |
(/ (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (* x (sin y))) (* z (cos y)))) |
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | -inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (cos y) z) (* (sin y) x)) (* (sin y) x) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) |
| 4.0ms | x | @ | 0 | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (cos y) z) (* (sin y) x)) (* (sin y) x) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) |
| 3.0ms | y | @ | inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (cos y) z) (* (sin y) x)) (* (sin y) x) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) |
| 3.0ms | z | @ | 0 | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (cos y) z) (* (sin y) x)) (* (sin y) x) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) |
| 2.0ms | x | @ | inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (cos y) z) (* (sin y) x)) (* (sin y) x) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 233 | 817 |
| 1 | 848 | 792 |
| 2 | 3233 | 747 |
| 0 | 8101 | 686 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(* x (sin y)) |
(* (pow z 2) (pow (cos y) 2)) |
(+ (* -1 (* (pow x 2) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 2))) |
(* (pow x 2) (pow (sin y) 2)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* -1 (* (pow x 2) (pow (sin y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
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))) |
(* 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))))))) |
(+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x)))) |
(+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x)))) |
(pow z 2) |
(+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2)) |
(+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2)) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2)) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2)) |
(* (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))) |
(sin y) |
(cos y) |
(* y (+ x (/ z y))) |
(/ (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (* x (sin y))) (* z (cos y)))) |
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 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)) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* (pow z 2) (pow (cos y) 2)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) |
(+ (* -1 (* (pow x 2) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 2))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) |
(* (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) |
(* -1 (* (pow x 2) (pow (sin y) 2))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x)) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) x) (/.f64 z x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y) |
(+ z (* -1/2 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x y)) |
(+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x)))) |
(fma.f64 (fma.f64 (-.f64 (neg.f64 z) (fma.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) z) (*.f64 #s(literal -1/2 binary64) z))) y x) y z) |
(+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x)))) |
(fma.f64 (fma.f64 (-.f64 (neg.f64 z) (fma.f64 (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (neg.f64 z) (fma.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) z) (*.f64 #s(literal -1/2 binary64) z))) z) #s(literal -1/3 binary64))) y (fma.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) z) (*.f64 #s(literal -1/2 binary64) z)))) y x) y z) |
(pow z 2) |
(*.f64 z z) |
(+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2)) |
(fma.f64 (neg.f64 (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 z z)) |
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (neg.f64 (fma.f64 z z (*.f64 x x)))) (*.f64 y y) (*.f64 z z)) |
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2/45 binary64) (*.f64 y y)) (fma.f64 z z (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) (fma.f64 x x (*.f64 z z)))) (*.f64 y y) (neg.f64 (fma.f64 z z (*.f64 x x)))) (*.f64 y y) (*.f64 z z)) |
(+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2)) |
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 z z)) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2)) |
(fma.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal -1 binary64))) (*.f64 y y) (*.f64 z z)) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2)) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 z z) (fma.f64 #s(literal -2/45 binary64) (*.f64 y y) #s(literal 1/3 binary64))) (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 z z))) |
(* (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 (fma.f64 #s(literal -1/3 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y y) x) x)) |
(* (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 (*.f64 x x) (fma.f64 #s(literal 2/45 binary64) (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 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 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/315 binary64) #s(literal 2/45 binary64))) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x x))) (*.f64 y y)) |
(sin y) |
(sin.f64 y) |
(cos y) |
(cos.f64 y) |
(* y (+ x (/ z y))) |
(*.f64 (+.f64 (/.f64 z y) x) y) |
(/ (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (* x (sin y))) (* z (cos y)))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) |
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(*.f64 (+.f64 (/.f64 z y) x) y) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ 1 (/ (* x y) z))) |
(fma.f64 (*.f64 z x) (/.f64 y z) z) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) z) (/.f64 x (neg.f64 z)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64)) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 108 |
| 0 | 40 | 91 |
| 1 | 164 | 91 |
| 2 | 1013 | 91 |
| 0 | 8966 | 91 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (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 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(*.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.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 (/.f64 (-.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.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)))) (neg.f64 (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 2 binary64)) (pow.f64 (*.f64 z (cos.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 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.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 (*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
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(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) |
(fma.f64 z (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)))) |
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(fma.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
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(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) (neg.f64 (-.f64 (*.f64 x y) z)))) |
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(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 y)) x)) |
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) (*.f64 x y)) |
(fma.f64 x y z) |
(fma.f64 y x z) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 x y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 z (*.f64 x y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z))) |
(-.f64 z (*.f64 (neg.f64 y) x)) |
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(+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 z z (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) z))))) |
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(+.f64 (*.f64 x y) z) |
(+.f64 z (*.f64 (neg.f64 (neg.f64 y)) x)) |
(+.f64 z (*.f64 x y)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
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(fabs.f64 (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (*.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (*.f64 (log.f64 z) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 z (cos.f64 y)) z) (*.f64 (sin.f64 y) #s(literal 0 binary64))) (*.f64 (*.f64 (*.f64 z (cos.f64 y)) z) (*.f64 (cos.f64 y) #s(literal 1 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (sin.f64 y))) (fabs.f64 (neg.f64 x))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 x (sin.f64 y)) x)) (fabs.f64 (sin.f64 y))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y))) (fabs.f64 x)) |
(*.f64 (fabs.f64 (*.f64 x x)) (fabs.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (fabs.f64 (*.f64 x x))) |
(*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (*.f64 (sin.f64 y) (*.f64 (neg.f64 x) (sin.f64 y))))) |
(*.f64 (fabs.f64 x) (fabs.f64 (*.f64 (sin.f64 y) (*.f64 x (sin.f64 y))))) |
(*.f64 (fabs.f64 (sin.f64 y)) (fabs.f64 (*.f64 x (*.f64 x (sin.f64 y))))) |
(*.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x (sin.f64 y)) x) #s(literal 1 binary64)) (sin.f64 y)) |
(*.f64 (pow.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y)) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (neg.f64 x) (sin.f64 y))) #s(literal 1 binary64))) |
(*.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) |
(*.f64 (*.f64 x x) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.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 x (*.f64 x (sin.f64 y))) #s(literal 1 binary64))) |
(*.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 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) (*.f64 (sinh.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)))))) (-.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)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (sinh.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))))) (*.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)))))))) |
(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 (*.f64 (neg.f64 x) (sin.f64 y))) #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 (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 32 655 to 2 510 computations (92.3% saved)
20 alts after pruning (16 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 944 | 15 | 959 |
| Fresh | 9 | 1 | 10 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 954 | 20 | 974 |
| Status | Accuracy | Program |
|---|---|---|
| 40.1% | (fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z)) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) x)) | |
| ✓ | 99.9% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 78.5% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) | |
| 28.9% | (/.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) | |
| 22.8% | (/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) | |
| ▶ | 29.3% | (/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) |
| 56.3% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| ▶ | 93.9% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
| 86.1% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) | |
| ✓ | 57.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| ✓ | 59.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| 36.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) | |
| 39.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| ▶ | 28.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z (cos.f64 y)))) |
| ▶ | 47.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) |
| 57.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64)) (neg.f64 z)))) | |
| 43.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) | |
| ▶ | 22.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| 36.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
Compiled 746 to 517 computations (30.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) | |
| cost-diff | 0 | #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) | |
| cost-diff | 2 | (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 z (cos.f64 y)) | |
| cost-diff | 0 | (fabs.f64 (*.f64 z (cos.f64 y))) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z (cos.f64 y)))) | |
| cost-diff | 0 | (*.f64 z x) | |
| 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 | 2 | (fma.f64 (*.f64 z x) (/.f64 y z) 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 | (/.f64 (sin.f64 y) z) | |
| cost-diff | 0 | (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) | |
| cost-diff | 0 | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 261 |
| 0 | 65 | 261 |
| 1 | 120 | 255 |
| 2 | 240 | 255 |
| 3 | 661 | 255 |
| 4 | 1929 | 252 |
| 5 | 5264 | 252 |
| 0 | 8326 | 241 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
x |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* y x) z) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
#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 |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z (cos.f64 y)))) |
(fabs.f64 (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
y |
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) |
#s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) 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 |
(fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (neg.f64 x) (sin.f64 y)) |
(neg.f64 x) |
x |
(sin.f64 y) |
| Outputs |
|---|
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
x |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* y x) z) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* y x) z) (fma.f64 #s(literal 1 binary64) (*.f64 x y) z))) |
#s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)) |
#s(approx (+ (* y x) z) (fma.f64 #s(literal 1 binary64) (*.f64 x y) z)) |
(fma.f64 (*.f64 z x) (/.f64 y z) z) |
(fma.f64 #s(literal 1 binary64) (*.f64 x y) z) |
(*.f64 z x) |
z |
x |
(/.f64 y z) |
y |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z (cos.f64 y)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fabs.f64 (*.f64 (cos.f64 y) z))) |
(fabs.f64 (*.f64 z (cos.f64 y))) |
(fabs.f64 (*.f64 (cos.f64 y) z)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
z |
(cos.f64 y) |
y |
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) |
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) |
#s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) |
#s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) |
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(*.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 |
(fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) |
(fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(*.f64 (neg.f64 x) (sin.f64 y)) |
(neg.f64 x) |
x |
(sin.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10546875 | (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) | |
| accuracy | 0.232753759768442 | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) | |
| accuracy | 23.96109285315227 | #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) | |
| accuracy | 28.74066325871096 | (/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) | |
| accuracy | 0.0 | (fabs.f64 (*.f64 z (cos.f64 y))) | |
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.1015625 | (*.f64 z (cos.f64 y)) | |
| accuracy | 45.524220154469454 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z (cos.f64 y)))) | |
| accuracy | 0.0 | (*.f64 z x) | |
| accuracy | 0.0 | #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)) | |
| accuracy | 12.041001621576958 | (fma.f64 (*.f64 z x) (/.f64 y z) z) | |
| accuracy | 26.929866240525154 | #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 | (*.f64 x y) | |
| accuracy | 26.929866240525154 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) | |
| accuracy | 30.68201268379677 | #s(approx (+ (* y x) z) (*.f64 x y)) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.07421875 | (/.f64 (sin.f64 y) z) | |
| accuracy | 0.09765625 | (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) | |
| accuracy | 3.867760348608867 | (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
| 115.0ms | 256× | 0 | valid |
Compiled 195 to 36 computations (81.5% saved)
ival-pow2: 26.0ms (32.6% of total)ival-mult: 20.0ms (25.1% of total)ival-sin: 14.0ms (17.6% of total)ival-add: 6.0ms (7.5% of total)ival-div: 5.0ms (6.3% of total)ival-cos: 5.0ms (6.3% of total)ival-fabs: 1.0ms (1.3% of total)ival-sub: 1.0ms (1.3% of total)ival-neg: 1.0ms (1.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(/.f64 (sin.f64 y) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* y x) z) (*.f64 x y)) |
(*.f64 x y) |
(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 z x) (/.f64 y z) z))) |
#s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)) |
(*.f64 z x) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z (cos.f64 y)))) |
(fabs.f64 (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) |
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) |
#s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) |
(sin.f64 y) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
| Outputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
z |
(+ z (* x y)) |
(* x y) |
(* x z) |
(* (pow z 2) (pow (cos y) 2)) |
(+ (* -1 (* (pow x 2) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 2))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(/ (* x (sin y)) z) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(* x (+ y (/ z x))) |
(* -1 (* (pow x 2) (pow (sin y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
1 |
(+ 1 (/ (* x y) z)) |
(+ 1 (* y (+ (* -1/2 y) (/ x z)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z)))) |
(/ y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(fabs (* z (cos y))) |
(+ 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 (* -1/2 (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))) |
(pow z 2) |
(+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2)) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2)) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2)) |
(+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x)))) |
(+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x)))) |
(+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2)) |
(+ 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)))))) |
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 (* -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))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(/ (sin y) z) |
(* y (+ x (/ z y))) |
(/ (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (* x (sin y))) (* z (cos y)))) |
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) |
(* z (pow (cos y) 2)) |
(sin y) |
(pow (cos y) 2) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(* z (+ 1 (/ (* x y) z))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | x | @ | -inf | ((+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* (* z x) (/ y z)) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* z x) (+ (* x (sin y)) (* z (cos y))) (fabs (* z (cos y))) (* z (cos y)) (cos y) (* (* (pow (cos y) 2) z) z) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* (pow (cos y) 2) z) (sin y) (pow (cos y) 2)) |
| 7.0ms | z | @ | 0 | ((+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* (* z x) (/ y z)) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* z x) (+ (* x (sin y)) (* z (cos y))) (fabs (* z (cos y))) (* z (cos y)) (cos y) (* (* (pow (cos y) 2) z) z) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* (pow (cos y) 2) z) (sin y) (pow (cos y) 2)) |
| 4.0ms | z | @ | -inf | ((+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* (* z x) (/ y z)) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* z x) (+ (* x (sin y)) (* z (cos y))) (fabs (* z (cos y))) (* z (cos y)) (cos y) (* (* (pow (cos y) 2) z) z) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* (pow (cos y) 2) z) (sin y) (pow (cos y) 2)) |
| 3.0ms | y | @ | -inf | ((+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* (* z x) (/ y z)) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* z x) (+ (* x (sin y)) (* z (cos y))) (fabs (* z (cos y))) (* z (cos y)) (cos y) (* (* (pow (cos y) 2) z) z) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* (pow (cos y) 2) z) (sin y) (pow (cos y) 2)) |
| 3.0ms | y | @ | inf | ((+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* (* z x) (/ y z)) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* z x) (+ (* x (sin y)) (* z (cos y))) (fabs (* z (cos y))) (* z (cos y)) (cos y) (* (* (pow (cos y) 2) z) z) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* (pow (cos y) 2) z) (sin y) (pow (cos y) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 267 | 923 |
| 1 | 931 | 887 |
| 2 | 3372 | 848 |
| 0 | 8124 | 781 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
z |
(+ z (* x y)) |
(* x y) |
(* x z) |
(* (pow z 2) (pow (cos y) 2)) |
(+ (* -1 (* (pow x 2) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 2))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(/ (* x (sin y)) z) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(* x (+ y (/ z x))) |
(* -1 (* (pow x 2) (pow (sin y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
1 |
(+ 1 (/ (* x y) z)) |
(+ 1 (* y (+ (* -1/2 y) (/ x z)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z)))) |
(/ y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(fabs (* z (cos y))) |
(+ 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 (* -1/2 (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))) |
(pow z 2) |
(+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2)) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2)) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2)) |
(+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x)))) |
(+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x)))) |
(+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2)) |
(+ 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)))))) |
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 (* -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))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(/ (sin y) z) |
(* y (+ x (/ z y))) |
(/ (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (* x (sin y))) (* z (cos y)))) |
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) |
(* z (pow (cos y) 2)) |
(sin y) |
(pow (cos y) 2) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(* z (+ 1 (/ (* x y) z))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
| Outputs |
|---|
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(* x y) |
(*.f64 x y) |
(* x z) |
(*.f64 z x) |
(* (pow z 2) (pow (cos y) 2)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) |
(+ (* -1 (* (pow x 2) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 2))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) 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)) z) |
(/.f64 (*.f64 x (sin.f64 y)) z) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x) |
(* x (+ y (/ z x))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* -1 (* (pow x 2) (pow (sin y) 2))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x)) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) x) (/.f64 z x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1/2 y) (/ x z)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z)))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64)) |
(/ y z) |
(/.f64 y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) z) (/.f64 y z)) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) #s(literal -1/5040 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) z)) (/.f64 y z)) |
(fabs (* z (cos y))) |
(fabs.f64 (*.f64 z (cos.f64 y))) |
(+ z (* -1/2 (* (pow y 2) z))) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z z)) |
(+ 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)) |
(pow z 2) |
(*.f64 z z) |
(+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2)) |
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 z z)) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2)) |
(fma.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal -1 binary64))) (*.f64 y y) (*.f64 z z)) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2)) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 z z) (fma.f64 #s(literal -2/45 binary64) (*.f64 y y) #s(literal 1/3 binary64))) (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 z z))) |
(+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x)))) |
(fma.f64 (fma.f64 (-.f64 (neg.f64 z) (fma.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x z)) (*.f64 #s(literal -1/2 binary64) z))) y x) y z) |
(+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x)))) |
(fma.f64 (fma.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 x) (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x z)) (*.f64 #s(literal -1/2 binary64) z)) z)) #s(literal -1/3 binary64))) y z)) (fma.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x z)) (*.f64 #s(literal -1/2 binary64) z))) y x) y z) |
(+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2)) |
(fma.f64 (neg.f64 (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 z z)) |
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (neg.f64 (fma.f64 z z (*.f64 x x)))) (*.f64 y y) (*.f64 z z)) |
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2/45 binary64) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (fma.f64 x x (*.f64 z z)))) (*.f64 y y) (neg.f64 (fma.f64 z z (*.f64 x x)))) (*.f64 y y) (*.f64 z z)) |
(+ 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 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal -2/45 binary64) (*.f64 y y) #s(literal 1/3 binary64))) (fma.f64 (neg.f64 z) (*.f64 y 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) |
(+ 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)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(* y (+ x (/ z y))) |
(*.f64 (+.f64 (/.f64 z y) x) y) |
(/ (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (* x (sin y))) (* z (cos y)))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) |
(* z (pow (cos y) 2)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) |
(sin y) |
(sin.f64 y) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(*.f64 (+.f64 (/.f64 z y) x) y) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) z) |
(* z (+ 1 (/ (* x y) z))) |
(fma.f64 (/.f64 (*.f64 x y) z) z z) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) z) (/.f64 (neg.f64 x) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(*.f64 (-.f64 (/.f64 (*.f64 (neg.f64 y) x) z) #s(literal 1 binary64)) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 222 |
| 0 | 65 | 221 |
| 1 | 232 | 214 |
| 2 | 1366 | 214 |
| 0 | 8345 | 206 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(/.f64 (sin.f64 y) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* y x) z) (*.f64 x y)) |
(*.f64 x y) |
(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 z x) (/.f64 y z) z))) |
#s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)) |
(*.f64 z x) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z (cos.f64 y)))) |
(fabs.f64 (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) |
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) |
#s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) |
(sin.f64 y) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(*.f64 z (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z) (*.f64 (cos.f64 y) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)) (*.f64 (cos.f64 y) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) (*.f64 (*.f64 (cos.f64 y) z) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z)) (neg.f64 (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)))) |
(/.f64 (neg.f64 (*.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))) |
(/.f64 (*.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (neg.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (neg.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z)) (sqrt.f64 (cos.f64 y)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z)) (sqrt.f64 (cos.f64 y)) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 z) (cos.f64 y))) (sqrt.f64 (*.f64 (neg.f64 z) (cos.f64 y))) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 z) (cos.f64 y))) (sqrt.f64 (*.f64 (neg.f64 z) (cos.f64 y))) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(fma.f64 (exp.f64 (log.f64 z)) (cos.f64 y) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 (exp.f64 (log.f64 z)) (cos.f64 y) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 y) z) z) #s(literal 1/2 binary64)) (sqrt.f64 (cos.f64 y)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 y) z) z) #s(literal 1/2 binary64)) (sqrt.f64 (cos.f64 y)) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(fma.f64 (pow.f64 (*.f64 (neg.f64 z) (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 z) (cos.f64 y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 (pow.f64 (*.f64 (neg.f64 z) (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 z) (cos.f64 y)) #s(literal 1/2 binary64)) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(fma.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) #s(literal 1/2 binary64)) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 z z))) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 z z))) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (*.f64 (cos.f64 y) z))) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (*.f64 (cos.f64 y) z))) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 z z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 z z)) #s(literal 1/2 binary64)) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) z)) #s(literal 1/2 binary64)) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
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(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (+.f64 (neg.f64 y) (PI.f64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (+.f64 (neg.f64 y) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (+.f64 y (PI.f64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (+.f64 y (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (+.f64 (neg.f64 y) (PI.f64)))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (+.f64 (neg.f64 y) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (+.f64 y (PI.f64)))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (+.f64 y (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 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 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) (cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))) (cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))))) #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 (+.f64 (neg.f64 y) (PI.f64)) (+.f64 (neg.f64 y) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (neg.f64 y) (PI.f64)) (+.f64 (neg.f64 y) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (neg.f64 y) (PI.f64)) (+.f64 y (PI.f64)))) (cos.f64 (-.f64 (+.f64 (neg.f64 y) (PI.f64)) (+.f64 y (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (neg.f64 y) (PI.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) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 y (PI.f64)) (+.f64 (neg.f64 y) (PI.f64)))) (cos.f64 (-.f64 (+.f64 y (PI.f64)) (+.f64 (neg.f64 y) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 y (PI.f64)) (+.f64 y (PI.f64)))) (cos.f64 (-.f64 (+.f64 y (PI.f64)) (+.f64 y (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 y (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 y (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 y) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 y) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 y (PI.f64)))) (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 y (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) 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 (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)) |
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))) |
(-.f64 (/.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) 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 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))))) |
(-.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 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (cos.f64 y) (neg.f64 (cos.f64 y)))) |
(fabs.f64 (*.f64 (neg.f64 (cos.f64 y)) (cos.f64 y))) |
(fabs.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (log.f64 (cos.f64 y)) (log.f64 (cos.f64 y)))) |
(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 (cos.f64 (+.f64 y y)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 y y)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cos.f64 (+.f64 (neg.f64 y) y)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 (neg.f64 y) y)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cos.f64 (+.f64 y (neg.f64 y))) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 y (neg.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) (+.f64 (neg.f64 y) (PI.f64)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) 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) (neg.f64 (neg.f64 y)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y (PI.f64)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(+.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))))) |
Compiled 20 193 to 2 501 computations (87.6% saved)
29 alts after pruning (22 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 533 | 15 | 548 |
| Fresh | 4 | 7 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 539 | 29 | 568 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 78.5% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) | |
| 29.3% | (/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) | |
| 22.8% | (/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) | |
| 29.2% | (/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) | |
| 56.3% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| 83.7% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 (asin.f64 (sin.f64 y)))) z)) | |
| ✓ | 93.9% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
| 86.1% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) | |
| 49.9% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) | |
| ▶ | 57.0% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z)) |
| ▶ | 93.8% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x)) z)) |
| ▶ | 39.4% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) |
| 41.9% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 x (sin.f64 y))) | |
| ✓ | 57.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| ✓ | 59.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| 36.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) | |
| ▶ | 23.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))))) |
| 18.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z #s(approx (cos y) (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)))))) | |
| 18.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) | |
| 18.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))) | |
| 57.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 x y) z) z z))) | |
| ✓ | 47.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) |
| 11.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 (*.f64 (/.f64 y z) z) x)))) | |
| ▶ | 26.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 y z) z) x)))) |
| 43.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) | |
| ✓ | 22.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| 36.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
Compiled 1 247 to 831 computations (33.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))))) | |
| cost-diff | 1 | (fabs.f64 (*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)))) | |
| cost-diff | 3 | (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 y z) z) x))) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 y z) z) x)))) | |
| cost-diff | 4 | (*.f64 (/.f64 y z) z) | |
| cost-diff | 4 | (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 y z) z) x)) | |
| cost-diff | 0 | (fma.f64 (/.f64 y z) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z) | |
| cost-diff | 0 | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z)) | |
| cost-diff | 0 | #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z) | |
| cost-diff | 0 | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) | |
| cost-diff | 0 | #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x)) z) | |
| cost-diff | 0 | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x)) z)) | |
| cost-diff | 1 | (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 360 |
| 0 | 70 | 343 |
| 1 | 127 | 333 |
| 2 | 362 | 325 |
| 3 | 1578 | 317 |
| 4 | 4169 | 317 |
| 5 | 6346 | 317 |
| 0 | 8340 | 294 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x)) z)) |
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x)) z) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x)) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x) |
(+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) |
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z)) |
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) |
(fma.f64 (/.f64 y z) x #s(literal 1 binary64)) |
(/.f64 y z) |
y |
z |
x |
#s(literal 1 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 y z) z) x)))) |
#s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 y z) z) x))) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 y z) z) x)) |
(sqrt.f64 z) |
z |
(*.f64 (*.f64 (/.f64 y z) z) x) |
(*.f64 (/.f64 y z) z) |
(/.f64 y z) |
y |
x |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))))) |
(fabs.f64 (*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)))) |
(*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))) |
z |
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) |
(sqrt.f64 (cos.f64 y)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x)) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 #s(literal 1 binary64) (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))) z)) |
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x)) z) |
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 #s(literal 1 binary64) (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))) z) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x)) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 #s(literal 1 binary64) (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)) |
(+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) |
(+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) |
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z)) |
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) |
(fma.f64 (/.f64 y z) x #s(literal 1 binary64)) |
(/.f64 y z) |
y |
z |
x |
#s(literal 1 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 y z) z) x)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* y x) z) (fma.f64 x y z))) |
#s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 y z) z) x))) |
#s(approx (+ (* y x) z) (fma.f64 x y z)) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 y z) z) x)) |
(fma.f64 x y z) |
(sqrt.f64 z) |
z |
(*.f64 (*.f64 (/.f64 y z) z) x) |
(*.f64 x y) |
(*.f64 (/.f64 y z) z) |
y |
(/.f64 y z) |
y |
x |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (cos.f64 y) z)) |
(fabs.f64 (*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))) |
(*.f64 (cos.f64 y) z) |
z |
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) |
(cos.f64 y) |
(sqrt.f64 (cos.f64 y)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))) | |
| accuracy | 0.0078125 | (sqrt.f64 (cos.f64 y)) | |
| accuracy | 0.04296875 | (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) | |
| accuracy | 8.83353612965995 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))))) | |
| accuracy | 0.0 | #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 y z) z) x))) | |
| accuracy | 0.1015625 | (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 y z) z) x)) | |
| accuracy | 4.864839649962466 | (*.f64 (/.f64 y z) z) | |
| accuracy | 6.258113043680958 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 y z) z) x)))) | |
| accuracy | 0.0 | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z)) | |
| accuracy | 0.04296875 | (fma.f64 (/.f64 y z) x #s(literal 1 binary64)) | |
| accuracy | 1.6915948639689014 | (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z) | |
| accuracy | 5.808601997062168 | #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) | |
| accuracy | 0.0 | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) | |
| accuracy | 1.6915948639689014 | (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z) | |
| accuracy | 11.82234408923039 | #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (/.f64 (sin.f64 y) z) | |
| accuracy | 0.01953125 | (/.f64 (cos.f64 y) x) | |
| accuracy | 0.0703125 | (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x) | |
| accuracy | 1.6915948639689014 | (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x)) z) |
| 167.0ms | 163× | 0 | invalid |
| 40.0ms | 93× | 0 | valid |
Compiled 224 to 36 computations (83.9% saved)
ival-add: 54.0ms (37.3% of total)ival-mult: 51.0ms (35.3% of total)ival-sin: 22.0ms (15.2% of total)ival-div: 5.0ms (3.5% of total)ival-cos: 5.0ms (3.5% of total)ival-sqrt: 3.0ms (2.1% of total)ival-pow2: 2.0ms (1.4% of total)ival-fabs: 1.0ms (0.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x)) z)) |
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x)) z) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) |
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z)) |
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) |
(fma.f64 (/.f64 y z) x #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 y z) z) x)) |
(*.f64 (/.f64 y z) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 y z) z) x)))) |
#s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 y z) z) x))) |
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) |
(fabs.f64 (*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))))) |
(*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))) |
(/.f64 (cos.f64 y) x) |
(/.f64 (sin.f64 y) z) |
(sqrt.f64 (cos.f64 y)) |
| Outputs |
|---|
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
1 |
(+ 1 (/ (* x y) z)) |
z |
(+ z (* x y)) |
(/ (cos y) x) |
(/ (* x (sin y)) z) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(/ (* x y) z) |
(* x (+ (/ 1 x) (/ y z))) |
(* x y) |
(* x (+ y (/ z x))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (- (* -1 (/ y z)) (/ 1 x)))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(+ 1 (* y (+ (* -1/2 y) (/ x z)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z)))) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
y |
(+ 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))) |
(fabs (* z (cos y))) |
(+ 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 x) |
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(/ y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 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))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* y (+ (/ 1 y) (/ x z))) |
(* y (+ x (/ z y))) |
(/ (sin y) z) |
(sqrt (cos y)) |
(* -1 (* y (- (* -1 (/ x z)) (/ 1 y)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/ (+ z (* x y)) z) |
(* z (+ 1 (/ (* x y) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (pow (sqrt -1) 2))) |
(* -1 (* z (+ (* -1 (/ (* x y) z)) (pow (sqrt -1) 2)))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | y | @ | -inf | ((* (+ (/ (sin y) z) (/ (cos y) x)) x) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (/ y z) x) 1) (+ (* (sqrt z) (sqrt z)) (* (* (/ y z) z) x)) (* (/ y z) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (pow (sqrt (cos y)) 2) (fabs (* z (pow (sqrt (cos y)) 2))) (+ (* x (sin y)) (* z (cos y))) (* z (pow (sqrt (cos y)) 2)) (/ (cos y) x) (/ (sin y) z) (sqrt (cos y))) |
| 3.0ms | z | @ | -inf | ((* (+ (/ (sin y) z) (/ (cos y) x)) x) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (/ y z) x) 1) (+ (* (sqrt z) (sqrt z)) (* (* (/ y z) z) x)) (* (/ y z) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (pow (sqrt (cos y)) 2) (fabs (* z (pow (sqrt (cos y)) 2))) (+ (* x (sin y)) (* z (cos y))) (* z (pow (sqrt (cos y)) 2)) (/ (cos y) x) (/ (sin y) z) (sqrt (cos y))) |
| 3.0ms | x | @ | -inf | ((* (+ (/ (sin y) z) (/ (cos y) x)) x) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (/ y z) x) 1) (+ (* (sqrt z) (sqrt z)) (* (* (/ y z) z) x)) (* (/ y z) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (pow (sqrt (cos y)) 2) (fabs (* z (pow (sqrt (cos y)) 2))) (+ (* x (sin y)) (* z (cos y))) (* z (pow (sqrt (cos y)) 2)) (/ (cos y) x) (/ (sin y) z) (sqrt (cos y))) |
| 3.0ms | y | @ | inf | ((* (+ (/ (sin y) z) (/ (cos y) x)) x) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (/ y z) x) 1) (+ (* (sqrt z) (sqrt z)) (* (* (/ y z) z) x)) (* (/ y z) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (pow (sqrt (cos y)) 2) (fabs (* z (pow (sqrt (cos y)) 2))) (+ (* x (sin y)) (* z (cos y))) (* z (pow (sqrt (cos y)) 2)) (/ (cos y) x) (/ (sin y) z) (sqrt (cos y))) |
| 3.0ms | z | @ | 0 | ((* (+ (/ (sin y) z) (/ (cos y) x)) x) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (/ y z) x) 1) (+ (* (sqrt z) (sqrt z)) (* (* (/ y z) z) x)) (* (/ y z) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (pow (sqrt (cos y)) 2) (fabs (* z (pow (sqrt (cos y)) 2))) (+ (* x (sin y)) (* z (cos y))) (* z (pow (sqrt (cos y)) 2)) (/ (cos y) x) (/ (sin y) z) (sqrt (cos y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 196 | 528 |
| 1 | 667 | 516 |
| 2 | 2176 | 508 |
| 3 | 6583 | 504 |
| 0 | 8045 | 449 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
1 |
(+ 1 (/ (* x y) z)) |
z |
(+ z (* x y)) |
(/ (cos y) x) |
(/ (* x (sin y)) z) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(/ (* x y) z) |
(* x (+ (/ 1 x) (/ y z))) |
(* x y) |
(* x (+ y (/ z x))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (- (* -1 (/ y z)) (/ 1 x)))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(+ 1 (* y (+ (* -1/2 y) (/ x z)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z)))) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
y |
(+ 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))) |
(fabs (* z (cos y))) |
(+ 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 x) |
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(/ y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 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))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* y (+ (/ 1 y) (/ x z))) |
(* y (+ x (/ z y))) |
(/ (sin y) z) |
(sqrt (cos y)) |
(* -1 (* y (- (* -1 (/ x z)) (/ 1 y)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/ (+ z (* x y)) z) |
(* z (+ 1 (/ (* x y) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (pow (sqrt -1) 2))) |
(* -1 (* z (+ (* -1 (/ (* x y) z)) (pow (sqrt -1) 2)))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
| Outputs |
|---|
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(* 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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (* x y) z)) |
(/.f64 (fma.f64 x y z) z) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (* x (sin y)) z) |
(*.f64 (/.f64 (sin.f64 y) z) x) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(/ (* x y) z) |
(/.f64 (*.f64 x y) z) |
(* x (+ (/ 1 x) (/ y z))) |
(/.f64 (fma.f64 x y z) z) |
(* x y) |
(*.f64 x y) |
(* x (+ y (/ z x))) |
(fma.f64 x y z) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (- (* -1 (/ y z)) (/ 1 x)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(fma.f64 x y z) |
(+ 1 (* y (+ (* -1/2 y) (/ x z)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z)))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/2 binary64)) y (/.f64 x z)) 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 |
(+ 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)) |
(fabs (* z (cos y))) |
(fabs.f64 (*.f64 (cos.f64 y) z)) |
(+ 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 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) (*.f64 y y) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(fma.f64 (/.f64 (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))) x) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) |
(/ y z) |
(/.f64 y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y y) z) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) z) (/.f64 y z)) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) z) (/.f64 y 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)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* y (+ (/ 1 y) (/ x z))) |
(/.f64 (fma.f64 x y z) z) |
(* y (+ x (/ z y))) |
(fma.f64 x y z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(sqrt (cos y)) |
(sqrt.f64 (cos.f64 y)) |
(* -1 (* y (- (* -1 (/ x z)) (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(fma.f64 x y z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(/ (+ z (* x y)) z) |
(/.f64 (fma.f64 x y z) z) |
(* z (+ 1 (/ (* x y) z))) |
(fma.f64 x y z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* z (pow (sqrt -1) 2))) |
z |
(* -1 (* z (+ (* -1 (/ (* x y) z)) (pow (sqrt -1) 2)))) |
(fma.f64 x y z) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(fma.f64 x y z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 315 |
| 0 | 70 | 301 |
| 1 | 241 | 292 |
| 2 | 1568 | 284 |
| 0 | 8830 | 265 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x)) z)) |
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x)) z) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) |
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z)) |
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) |
(fma.f64 (/.f64 y z) x #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 y z) z) x)) |
(*.f64 (/.f64 y z) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 y z) z) x)))) |
#s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 y z) z) x))) |
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) |
(fabs.f64 (*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))))) |
(*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))) |
(/.f64 (cos.f64 y) x) |
(/.f64 (sin.f64 y) z) |
(sqrt.f64 (cos.f64 y)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (sqrt.f64 z)) (/.f64 x (*.f64 (sqrt.f64 z) x))) |
(*.f64 (/.f64 x x) (/.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) z)) |
(*.f64 (/.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) x) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) x)) |
(*.f64 (/.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) z) (/.f64 x x)) |
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (*.f64 (sqrt.f64 z) x))) |
(*.f64 (-.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x) |
(*.f64 x (-.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (/.f64 (cos.f64 y) x) #s(literal 2 binary64))) x)) (neg.f64 (-.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) (-.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) x)) (neg.f64 (*.f64 x z))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (/.f64 (cos.f64 y) x) #s(literal 2 binary64))))) (neg.f64 (-.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) (-.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))) (neg.f64 (*.f64 x z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (/.f64 (cos.f64 y) x) #s(literal 2 binary64))) x) (-.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 3 binary64))) x) (fma.f64 (/.f64 (cos.f64 y) x) (-.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) x) (*.f64 x z)) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (/.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (-.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (/.f64 (cos.f64 y) x) (-.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
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(*.f64 (*.f64 (/.f64 y z) (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 (/.f64 y (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 y z))) |
(*.f64 (sqrt.f64 z) (/.f64 y (sqrt.f64 z))) |
(*.f64 (/.f64 y z) z) |
(*.f64 z (/.f64 y z)) |
(*.f64 y #s(literal 1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 z y) (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) z)) z) |
(/.f64 (neg.f64 (*.f64 z (neg.f64 y))) z) |
(/.f64 (neg.f64 (neg.f64 (*.f64 z y))) z) |
(/.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) (sqrt.f64 z)) |
(/.f64 (*.f64 (neg.f64 y) z) z) |
(/.f64 (*.f64 z (neg.f64 y)) z) |
(/.f64 (neg.f64 (*.f64 z y)) z) |
(/.f64 (*.f64 z y) z) |
(neg.f64 (*.f64 y #s(literal 1 binary64))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* y x) z) (fma.f64 (*.f64 y #s(literal 1 binary64)) x z))) |
#s(approx (+ (* y x) z) (fma.f64 (*.f64 y #s(literal 1 binary64)) x z)) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 y)))) (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 y))))) |
(*.f64 (sqrt.f64 (neg.f64 (cos.f64 y))) (sqrt.f64 (neg.f64 (cos.f64 y)))) |
(*.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 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (neg.f64 (sqrt.f64 (cos.f64 y)))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (cos.f64 y)))) |
(pow.f64 (neg.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 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 1 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 (neg.f64 y) y)) (cos.f64 (-.f64 (neg.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))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 (sin.f64 y) #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(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))) |
(fabs.f64 (neg.f64 (neg.f64 (cos.f64 y)))) |
(fabs.f64 (neg.f64 (cos.f64 y))) |
(fabs.f64 (cos.f64 y)) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 y)))) |
(cos.f64 (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 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)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(+.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(+.f64 (cosh.f64 (log.f64 (cos.f64 y))) (sinh.f64 (log.f64 (cos.f64 y)))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (neg.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)))) |
(*.f64 (fabs.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) (cos.f64 y))) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 y) z) (cos.f64 y)) #s(literal 1/2 binary64)) (sqrt.f64 z)) |
(*.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 y) z) z) #s(literal 1/2 binary64)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (*.f64 (neg.f64 (cos.f64 y)) (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z))) |
(*.f64 (neg.f64 (cos.f64 y)) z) |
(*.f64 (sqrt.f64 (cos.f64 y)) (fabs.f64 (*.f64 (sqrt.f64 (cos.f64 y)) z))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (*.f64 (cos.f64 y) z)))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) z)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) z)))) |
(*.f64 (sqrt.f64 z) (pow.f64 (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) z)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (neg.f64 (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (cos.f64 y) z)) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (cos.f64 y) z)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (cos.f64 y) z)) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (neg.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)))) |
(*.f64 (fabs.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) (cos.f64 y))) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 y) z) (cos.f64 y)) #s(literal 1/2 binary64)) (sqrt.f64 z)) |
(*.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 y) z) z) #s(literal 1/2 binary64)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (*.f64 (neg.f64 (cos.f64 y)) (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z))) |
(*.f64 (neg.f64 (cos.f64 y)) z) |
(*.f64 (sqrt.f64 (cos.f64 y)) (fabs.f64 (*.f64 (sqrt.f64 (cos.f64 y)) z))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (*.f64 (cos.f64 y) z)))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) z)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) z)))) |
(*.f64 (sqrt.f64 z) (pow.f64 (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) z)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (neg.f64 (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (cos.f64 y) z)) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (cos.f64 y) z)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 y)))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 y))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (cos.f64 y)) (neg.f64 x)) |
(/.f64 (cos.f64 y) x) |
(neg.f64 (/.f64 (neg.f64 (cos.f64 y)) x)) |
(neg.f64 (/.f64 (cos.f64 y) (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) z) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) z) |
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)) |
(/.f64 (neg.f64 (sin.f64 y)) z) |
(/.f64 (sin.f64 y) z) |
(neg.f64 (/.f64 (sin.f64 y) z)) |
(*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (neg.f64 (sqrt.f64 (cos.f64 y))))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (cos.f64 y))) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) |
(sqrt.f64 (cos.f64 y)) |
(fabs.f64 (neg.f64 (sqrt.f64 (cos.f64 y)))) |
(fabs.f64 (sqrt.f64 (cos.f64 y))) |
(exp.f64 (/.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (cos.f64 y)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (cos.f64 y)))) (sinh.f64 (log.f64 (sqrt.f64 (cos.f64 y))))) |
Compiled 9 088 to 1 432 computations (84.2% saved)
39 alts after pruning (32 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 272 | 21 | 293 |
| Fresh | 6 | 11 | 17 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 6 | 7 |
| Total | 283 | 39 | 322 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 78.5% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) | |
| 22.8% | (/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) | |
| 29.2% | (/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) | |
| 56.3% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| 83.7% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 (asin.f64 (sin.f64 y)))) z)) | |
| 86.1% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) | |
| 18.1% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 z))) | |
| 41.9% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (sin.f64 y) x)) | |
| 49.9% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) | |
| 42.0% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 (sin.f64 y) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (*.f64 (/.f64 (cos.f64 y) x) x))) z)) | |
| 51.8% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 y (/.f64 x z) #s(literal 1 binary64))) z)) | |
| 38.4% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x))) z)) | |
| 37.1% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (/.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (sqrt.f64 z)) (/.f64 x (*.f64 (sqrt.f64 z) x)))) z)) | |
| 68.4% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (+.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 (cos.f64 y) x)) x)) z)) | |
| 21.2% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (/ y z) x) 1) (/.f64 (*.f64 x y) z))) z)) | |
| 51.7% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (/ y z) x) 1) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1 binary64) y))))) z)) | |
| 56.9% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (/ y z) x) 1) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) x))))) z)) | |
| 35.9% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (* (+ (/ (sin y) z) (/ (cos y) x)) x) (*.f64 (/.f64 (sin.f64 y) z) x))) z)) | |
| ✓ | 57.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 26.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) | |
| 49.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))) | |
| ✓ | 59.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| 36.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) | |
| ✓ | 23.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))))) |
| 18.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z #s(approx (pow (sqrt (cos y)) 2) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) | |
| 18.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z #s(approx (cos y) (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)))))) | |
| 18.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 #s(approx (* z (pow (sqrt (cos y)) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) (*.f64 y y) z)))) | |
| 25.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) (sqrt.f64 z)) z))) | |
| 22.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (*.f64 x z) (sqrt.f64 z)) z))) | |
| ✓ | 47.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) |
| 22.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (/.f64 (*.f64 z y) z) x)))) | |
| 21.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) x) z))) | |
| 38.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (-.f64 z (*.f64 (*.f64 y #s(literal 1 binary64)) x)))) | |
| 43.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) | |
| ✓ | 22.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| 39.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) #s(approx (+ (* (sqrt z) (sqrt z)) (* (* (/ y z) z) x)) z))) | |
| 36.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
Compiled 2 787 to 1 002 computations (64% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) #s(approx (+ (* (sqrt z) (sqrt z)) (* (* (/ y z) z) x)) 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))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (-.f64 z (*.f64 (*.f64 y #s(literal 1 binary64)) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) x) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z #s(approx (pow (sqrt (cos y)) 2) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (/ y z) x) 1) (/.f64 (*.f64 x y) 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 (*.f64 x y) z) z z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 y (/.f64 x z) #s(literal 1 binary64))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #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 (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 #s(approx (* z (pow (sqrt (cos y)) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) (*.f64 y y) z)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (/ y z) x) 1) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) x))))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (/ y z) x) 1) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1 binary64) y))))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z #s(approx (cos y) (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)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 y z) z) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (/.f64 (*.f64 z y) z) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 (*.f64 (/.f64 y z) z) x)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (*.f64 x z) (sqrt.f64 z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) (sqrt.f64 z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 x (sin.f64 y))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z (cos.f64 y)))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (* (+ (/ (sin y) z) (/ (cos y) x)) x) (*.f64 (/.f64 (sin.f64 y) z) x))) z)) |
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (+.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 (cos.f64 y) x)) x)) z)) |
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (fma.f64 (*.f64 (*.f64 y y) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x)) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (/.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (sqrt.f64 z)) (/.f64 x (*.f64 (sqrt.f64 z) x)))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 (sin.f64 y) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (*.f64 (/.f64 (cos.f64 y) x) x))) z)) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z)) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 (asin.f64 (sin.f64 y)))) z)) |
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) |
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) |
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (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 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
4 calls:
| 40.0ms | x |
| 17.0ms | z |
| 17.0ms | y |
| 17.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) #s(approx (+ (* (sqrt z) (sqrt z)) (* (* (/ y z) z) x)) 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))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (-.f64 z (*.f64 (*.f64 y #s(literal 1 binary64)) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) x) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z #s(approx (pow (sqrt (cos y)) 2) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (/ y z) x) 1) (/.f64 (*.f64 x y) 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 (*.f64 x y) z) z z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 y (/.f64 x z) #s(literal 1 binary64))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #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 (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 #s(approx (* z (pow (sqrt (cos y)) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) (*.f64 y y) z)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (/ y z) x) 1) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) x))))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (/ y z) x) 1) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1 binary64) y))))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z #s(approx (cos y) (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)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 y z) z) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (/.f64 (*.f64 z y) z) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 (*.f64 (/.f64 y z) z) x)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (*.f64 x z) (sqrt.f64 z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) (sqrt.f64 z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 x (sin.f64 y))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z (cos.f64 y)))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (* (+ (/ (sin y) z) (/ (cos y) x)) x) (*.f64 (/.f64 (sin.f64 y) z) x))) z)) |
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (+.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 (cos.f64 y) x)) x)) z)) |
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (fma.f64 (*.f64 (*.f64 y y) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
4 calls:
| 41.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 12.0ms | z |
| 12.0ms | x |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) #s(approx (+ (* (sqrt z) (sqrt z)) (* (* (/ y z) z) x)) 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))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (-.f64 z (*.f64 (*.f64 y #s(literal 1 binary64)) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) x) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z #s(approx (pow (sqrt (cos y)) 2) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (/ y z) x) 1) (/.f64 (*.f64 x y) 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 (*.f64 x y) z) z z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 y (/.f64 x z) #s(literal 1 binary64))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #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 (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 #s(approx (* z (pow (sqrt (cos y)) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) (*.f64 y y) z)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (/ y z) x) 1) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) x))))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (/ y z) x) 1) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1 binary64) y))))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z #s(approx (cos y) (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)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 y z) z) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (/.f64 (*.f64 z y) z) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 (*.f64 (/.f64 y z) z) x)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (*.f64 x z) (sqrt.f64 z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) (sqrt.f64 z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 x (sin.f64 y))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z (cos.f64 y)))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (* (+ (/ (sin y) z) (/ (cos y) x)) x) (*.f64 (/.f64 (sin.f64 y) z) x))) z)) |
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (+.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 (cos.f64 y) x)) x)) z)) |
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (fma.f64 (*.f64 (*.f64 y y) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
4 calls:
| 45.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 11.0ms | z |
| 11.0ms | x |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.5% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 87.6% | 3 | x |
| 85.1% | 3 | y |
| 90.5% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) #s(approx (+ (* (sqrt z) (sqrt z)) (* (* (/ y z) z) x)) 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))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (-.f64 z (*.f64 (*.f64 y #s(literal 1 binary64)) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) x) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z #s(approx (pow (sqrt (cos y)) 2) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (/ y z) x) 1) (/.f64 (*.f64 x y) 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 (*.f64 x y) z) z z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 y (/.f64 x z) #s(literal 1 binary64))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #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 (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 #s(approx (* z (pow (sqrt (cos y)) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) (*.f64 y y) z)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (/ y z) x) 1) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) x))))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (/ y z) x) 1) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1 binary64) y))))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z #s(approx (cos y) (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)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 y z) z) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (/.f64 (*.f64 z y) z) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 (*.f64 (/.f64 y z) z) x)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (*.f64 x z) (sqrt.f64 z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) (sqrt.f64 z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 x (sin.f64 y))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z (cos.f64 y)))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 x (sin.f64 y))) |
#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:
| 22.0ms | y |
| 10.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 10.0ms | z |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.3% | 3 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 82.7% | 4 | y |
| 73.5% | 3 | x |
| 80.5% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) #s(approx (+ (* (sqrt z) (sqrt z)) (* (* (/ y z) z) x)) 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))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (-.f64 z (*.f64 (*.f64 y #s(literal 1 binary64)) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) x) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z #s(approx (pow (sqrt (cos y)) 2) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (/ y z) x) 1) (/.f64 (*.f64 x y) 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 (*.f64 x y) z) z z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 y (/.f64 x z) #s(literal 1 binary64))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #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 (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 #s(approx (* z (pow (sqrt (cos y)) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) (*.f64 y y) z)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (/ y z) x) 1) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) x))))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (/ y z) x) 1) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1 binary64) y))))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z #s(approx (cos y) (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)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 y z) z) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (/.f64 (*.f64 z y) z) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 (*.f64 (/.f64 y z) z) x)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (*.f64 x z) (sqrt.f64 z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) (sqrt.f64 z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* 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)) |
2 calls:
| 9.0ms | z |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.1% | 3 | z |
| 79.1% | 3 | y |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) #s(approx (+ (* (sqrt z) (sqrt z)) (* (* (/ y z) z) x)) 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))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (-.f64 z (*.f64 (*.f64 y #s(literal 1 binary64)) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) x) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z #s(approx (pow (sqrt (cos y)) 2) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (/ y z) x) 1) (/.f64 (*.f64 x y) 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 (*.f64 x y) z) z z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 y (/.f64 x z) #s(literal 1 binary64))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #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 (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 #s(approx (* z (pow (sqrt (cos y)) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) (*.f64 y y) z)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (/ y z) x) 1) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) x))))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (/ y z) x) 1) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1 binary64) y))))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fabs.f64 (*.f64 z #s(approx (cos y) (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)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 y z) z) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (/.f64 (*.f64 z y) z) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 (*.f64 (/.f64 y z) z) x)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (*.f64 x z) (sqrt.f64 z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) (sqrt.f64 z)) z))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
4 calls:
| 55.0ms | y |
| 9.0ms | x |
| 9.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.9% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 57.9% | 1 | z |
| 57.9% | 1 | x |
| 57.9% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) #s(approx (+ (* (sqrt z) (sqrt z)) (* (* (/ y z) z) x)) 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))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) #s(approx (+ (* (sqrt z) (sqrt z)) (* (* (/ y z) z) x)) 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))) #s(approx (+ (* y x) z) #s(approx (+ (* (sqrt z) (sqrt z)) (* (* (/ y z) z) x)) z))) |
4 calls:
| 2.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.9% | 3 | x |
| 42.0% | 2 | y |
| 48.2% | 3 | z |
| 43.9% | 3 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) #s(approx (+ (* (sqrt z) (sqrt z)) (* (* (/ y z) z) x)) z))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) #s(approx (+ (* (sqrt z) (sqrt z)) (* (* (/ y z) z) x)) z))) |
4 calls:
| 1.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.4% | 1 | y |
| 39.4% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 39.4% | 1 | x |
| 39.4% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 44.0ms | 5.878830981226748e+39 | 2.695458441064662e+49 |
| 45.0ms | -2.8559996127065535e+84 | -2.690720563666619e+75 |
| 53.0ms | 304× | 0 | valid |
Compiled 468 to 432 computations (7.7% saved)
ival-cos: 32.0ms (70.5% of total)ival-sin: 7.0ms (15.4% of total)ival-mult: 4.0ms (8.8% of total)ival-add: 1.0ms (2.2% of total)ival-true: 0.0ms (0% of total)adjust: 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 |
|---|---|---|
| 48.0ms | 0.00013610298387883225 | 50.225876043312 |
| 49.0ms | -8.555086828680162e-8 | -8.570840963152628e-10 |
| 68.0ms | -7.00187063447793e+208 | -8.364347671131445e+189 |
| 128.0ms | 416× | 0 | valid |
Compiled 900 to 718 computations (20.2% saved)
ival-sin: 46.0ms (49.1% of total)ival-mult: 38.0ms (40.6% of total)ival-cos: 7.0ms (7.5% of total)ival-add: 2.0ms (2.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.00013610298387883225 | 50.225876043312 |
| 80.0ms | -1.2722898348820046e+22 | -7150935305198878.0 |
| 50.0ms | 144× | 0 | valid |
Compiled 696 to 536 computations (23% saved)
ival-mult: 34.0ms (74.5% of total)ival-sin: 6.0ms (13.1% of total)ival-cos: 5.0ms (11% of total)ival-add: 1.0ms (2.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 1.106378304339359e-15 | 2.3798496493147727e-10 |
| 12.0ms | -29.391295133580577 | -5.394137896615578 |
| 31.0ms | 240× | 0 | valid |
Compiled 762 to 524 computations (31.2% saved)
ival-sin: 5.0ms (36.2% of total)ival-cos: 4.0ms (29% of total)ival-mult: 3.0ms (21.7% of total)ival-add: 1.0ms (7.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 270 |
| 1 | 116 | 270 |
| 2 | 245 | 266 |
| 3 | 806 | 262 |
| 4 | 2349 | 262 |
| 5 | 4404 | 262 |
| 6 | 6527 | 262 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(if (<=.f64 z #s(literal -849999999999999952045810411656208936270422744760984091439615662603444551941389025280 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 27499999999999998719791393848659028213760 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 y #s(literal -33999999999999998470856250723133195013718411197686606475394992852265083446395541212400208801255051905495489432702887657408634524382704201781925793995582690812594434502905893147655923499437427912773191671480320 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal -6422418416702717/75557863725914323419136 binary64)) #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 5404319552844595/72057594037927936 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 (<=.f64 y #s(literal -7200000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 5404319552844595/72057594037927936 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 z #s(literal -11/2 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) #s(approx (+ (* (sqrt z) (sqrt z)) (* (* (/ y z) z) x)) z))) (if (<=.f64 z #s(literal 1419768672255617/1267650600228229401496703205376 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) #s(approx (+ (* (sqrt z) (sqrt z)) (* (* (/ y z) z) x)) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) #s(approx (+ (* (sqrt z) (sqrt z)) (* (* (/ y z) z) x)) z))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(if (<=.f64 z #s(literal -849999999999999952045810411656208936270422744760984091439615662603444551941389025280 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 27499999999999998719791393848659028213760 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (or (<=.f64 z #s(literal -849999999999999952045810411656208936270422744760984091439615662603444551941389025280 binary64)) (not (<=.f64 z #s(literal 27499999999999998719791393848659028213760 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))) |
(if (<=.f64 y #s(literal -33999999999999998470856250723133195013718411197686606475394992852265083446395541212400208801255051905495489432702887657408634524382704201781925793995582690812594434502905893147655923499437427912773191671480320 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal -6422418416702717/75557863725914323419136 binary64)) #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 5404319552844595/72057594037927936 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 (<=.f64 y #s(literal -33999999999999998470856250723133195013718411197686606475394992852265083446395541212400208801255051905495489432702887657408634524382704201781925793995582690812594434502905893147655923499437427912773191671480320 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal -6422418416702717/75557863725914323419136 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 5404319552844595/72057594037927936 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 (<=.f64 y #s(literal -7200000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 5404319552844595/72057594037927936 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 -7200000000000000 binary64)) (not (<=.f64 y #s(literal 5404319552844595/72057594037927936 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 z #s(literal -11/2 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) #s(approx (+ (* (sqrt z) (sqrt z)) (* (* (/ y z) z) x)) z))) (if (<=.f64 z #s(literal 1419768672255617/1267650600228229401496703205376 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) #s(approx (+ (* (sqrt z) (sqrt z)) (* (* (/ y z) z) x)) z))))) |
(if (or (<=.f64 z #s(literal -11/2 binary64)) (not (<=.f64 z #s(literal 1419768672255617/1267650600228229401496703205376 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) #s(approx (+ (* y x) z) 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))) #s(approx (+ (* y x) z) #s(approx (+ (* (sqrt z) (sqrt z)) (* (* (/ y z) z) x)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) #s(approx (+ (* y x) z) z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 267 | 923 |
| 1 | 931 | 887 |
| 2 | 3372 | 848 |
| 0 | 8124 | 781 |
| 0 | 233 | 817 |
| 1 | 848 | 792 |
| 2 | 3233 | 747 |
| 0 | 8101 | 686 |
| 0 | 196 | 528 |
| 1 | 667 | 516 |
| 2 | 2176 | 508 |
| 3 | 6583 | 504 |
| 0 | 8045 | 449 |
| 0 | 42 | 222 |
| 0 | 65 | 221 |
| 1 | 232 | 214 |
| 2 | 1366 | 214 |
| 0 | 8345 | 206 |
| 0 | 96 | 246 |
| 1 | 383 | 242 |
| 2 | 1408 | 232 |
| 3 | 3772 | 230 |
| 4 | 7418 | 230 |
| 0 | 8306 | 203 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 39 | 19 |
| 2 | 251 | 19 |
| 3 | 2629 | 19 |
| 0 | 8333 | 18 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 262 to 66 computations (74.8% saved)
Compiled 542 to 148 computations (72.7% saved)
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