
Time bar (total: 7.3s)
| 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)
| 968.0ms | 8 256× | 0 | valid |
ival-sin: 256.0ms (36.2% of total)ival-mult: 217.0ms (30.7% of total)ival-cos: 186.0ms (26.3% of total)ival-add: 38.0ms (5.4% of total)ival-true: 6.0ms (0.8% of total)ival-assert: 4.0ms (0.6% 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 |
| 69.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-cos: 11.0ms (30.5% of total)ival-mult: 11.0ms (30.5% of total)ival-sin: 11.0ms (30.5% of total)ival-add: 2.0ms (5.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 84 |
| 1 | 92 | 81 |
| 2 | 188 | 81 |
| 3 | 330 | 81 |
| 4 | 632 | 81 |
| 5 | 1450 | 81 |
| 6 | 3596 | 81 |
| 7 | 6690 | 81 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 26 | 9 |
| 2 | 47 | 9 |
| 3 | 95 | 9 |
| 4 | 188 | 9 |
| 5 | 450 | 9 |
| 6 | 1149 | 9 |
| 7 | 2603 | 9 |
| 8 | 5293 | 9 |
| 0 | 8234 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (cos.f64 y)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 x (sin.f64 y)) | |
| cost-diff | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 26 | 24 |
| 2 | 47 | 24 |
| 3 | 95 | 24 |
| 4 | 188 | 24 |
| 5 | 450 | 24 |
| 6 | 1149 | 24 |
| 7 | 2603 | 24 |
| 8 | 5293 | 24 |
| 0 | 8234 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
z |
(cos.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.11328125 | (*.f64 z (cos.f64 y)) | |
| accuracy | 0.1484375 | (*.f64 x (sin.f64 y)) |
| 24.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-sin: 6.0ms (37.9% of total)ival-cos: 5.0ms (31.6% of total)ival-mult: 3.0ms (19% of total)ival-add: 1.0ms (6.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
| 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 | |
|---|---|---|---|---|
| 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))) |
| 1.0ms | z | @ | -inf | ((+ (* 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)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 247 | 12 | 259 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 248 | 12 | 260 |
| Status | Accuracy | Program |
|---|---|---|
| 27.1% | (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) | |
| 39.6% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (*.f64 (sin.f64 y) x)) | |
| 35.8% | (fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) x)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z)) | |
| ▶ | 60.3% | (fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) |
| ▶ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 51.5% | (/.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)))) | |
| ▶ | 60.1% | (+.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))) |
| 49.4% | (*.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))))) | |
| ▶ | 52.7% | #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)) |
| 52.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) | |
| ▶ | 53.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 60.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
Compiled 540 to 308 computations (43% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (sin.f64 y) x)) | |
| cost-diff | 7 | (fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) | |
| cost-diff | 0 | #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 x (sin.f64 y)) | |
| cost-diff | 1 | (+.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))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) | |
| cost-diff | 0 | (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) | |
| cost-diff | 0 | #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)) | |
| 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 | 32 | 202 |
| 0 | 55 | 193 |
| 1 | 103 | 193 |
| 2 | 223 | 193 |
| 3 | 565 | 193 |
| 4 | 1482 | 193 |
| 5 | 3817 | 193 |
| 6 | 5812 | 193 |
| 0 | 8025 | 192 |
| 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))) (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)) |
(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) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) |
#s(literal -1/6 binary64) |
(*.f64 y x) |
y |
x |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
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))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
z |
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
z |
| 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))) (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 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
(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) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) |
(fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) |
#s(literal -1/6 binary64) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
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))) |
(fma.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))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
z |
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (*.f64 x (sin.f64 y))) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
z |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0546875 | (*.f64 (cos.f64 y) z) | |
| accuracy | 0.08203125 | (*.f64 (sin.f64 y) x) | |
| accuracy | 0.11166000976844201 | (fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) | |
| accuracy | 3.4174081167987294 | (sqrt.f64 (*.f64 (sin.f64 y) x)) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.08203125 | (*.f64 x (sin.f64 y)) | |
| accuracy | 2.6105530225835683 | (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z) | |
| accuracy | 17.420024425728712 | #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)) | |
| accuracy | 0.01171875 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) | |
| accuracy | 0.0234375 | (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) | |
| accuracy | 0.11328125 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) | |
| accuracy | 17.480226422217815 | #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)) | |
| accuracy | 0.0 | (fma.f64 y x z) | |
| accuracy | 17.26473807268142 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.0390625 | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) | |
| accuracy | 0.0546875 | (*.f64 (cos.f64 y) z) |
| 97.0ms | 140× | 0 | valid |
| 41.0ms | 116× | 0 | invalid |
Compiled 177 to 32 computations (81.9% saved)
ival-mult: 68.0ms (69.7% of total)ival-add: 12.0ms (12.3% of total)ival-sin: 6.0ms (6.1% of total)ival-cos: 5.0ms (5.1% of total)const: 4.0ms (4.1% of total)ival-sqrt: 2.0ms (2% 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))) (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)) |
(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) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) 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))) |
(*.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)) |
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z) |
| Outputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1/2 (* y z)) |
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2))))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(* x (sin y)) |
(sqrt (* x (sin y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (* y (+ 1 (* -1/6 (pow y 2))))) |
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))) |
(* -1/6 (* x y)) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1))) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(* -1 (* x (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt (* x (sin y))) (pow (sqrt -1) 2))) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
x |
(+ x (* -1/2 (* y z))) |
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))) |
(* 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))))))) |
(sqrt (* x y)) |
(+ (sqrt (* x y)) (* -1/12 (sqrt (* x (pow y 5))))) |
(+ (sqrt (* x y)) (* (pow y 3) (+ (* -1/12 (sqrt (/ x y))) (* 1/240 (sqrt (* x (pow y 3))))))) |
(+ (sqrt (* x y)) (* (pow y 3) (+ (* -1/12 (sqrt (/ x y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ x y))) (* 1/240 (sqrt (/ x y)))))))) |
(sin y) |
(cos y) |
(* y (+ x (/ z y))) |
(* -1/6 (* x (pow y 3))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3)))))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(* y (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x))) |
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))) |
(* z (- (* -1/6 (/ (* x y) z)) 1/2)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y)))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | 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))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (sqrt (* (sin y) x)) (* (sin y) x) (* (+ (* (* -1/2 y) y) 1) z)) |
| 4.0ms | 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))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (sqrt (* (sin y) x)) (* (sin y) x) (* (+ (* (* -1/2 y) y) 1) z)) |
| 3.0ms | 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))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (sqrt (* (sin y) x)) (* (sin y) x) (* (+ (* (* -1/2 y) y) 1) z)) |
| 3.0ms | 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))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (sqrt (* (sin y) x)) (* (sin y) x) (* (+ (* (* -1/2 y) y) 1) z)) |
| 2.0ms | z | @ | -inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (sqrt (* (sin y) x)) (* (sin y) x) (* (+ (* (* -1/2 y) y) 1) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 296 | 1066 |
| 1 | 1100 | 1016 |
| 2 | 4243 | 1003 |
| 0 | 8371 | 911 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1/2 (* y z)) |
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2))))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(* x (sin y)) |
(sqrt (* x (sin y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (* y (+ 1 (* -1/6 (pow y 2))))) |
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))) |
(* -1/6 (* x y)) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1))) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(* -1 (* x (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt (* x (sin y))) (pow (sqrt -1) 2))) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
x |
(+ x (* -1/2 (* y z))) |
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))) |
(* 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))))))) |
(sqrt (* x y)) |
(+ (sqrt (* x y)) (* -1/12 (sqrt (* x (pow y 5))))) |
(+ (sqrt (* x y)) (* (pow y 3) (+ (* -1/12 (sqrt (/ x y))) (* 1/240 (sqrt (* x (pow y 3))))))) |
(+ (sqrt (* x y)) (* (pow y 3) (+ (* -1/12 (sqrt (/ x y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ x y))) (* 1/240 (sqrt (/ x y)))))))) |
(sin y) |
(cos y) |
(* y (+ x (/ z y))) |
(* -1/6 (* x (pow y 3))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3)))))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(* y (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x))) |
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))) |
(* z (- (* -1/6 (/ (* x y) z)) 1/2)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y)))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z))))) |
| 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) |
(+ z (* -1/2 (* (pow y 2) z))) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(* -1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal -1/2 binary64)) |
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(sqrt (* x (sin y))) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x y) |
(*.f64 x y) |
(* x (+ y (/ z x))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* x (* y (+ 1 (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(* -1/6 (* x y)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x y)) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(*.f64 (*.f64 (neg.f64 y) x) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(*.f64 (neg.f64 x) (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal -1 binary64)) z) x))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z x) y) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) x) |
(* -1 (* x (* (sin y) (pow (sqrt -1) 2)))) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* (sqrt (* x (sin y))) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) #s(literal 1 binary64)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) y) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
x |
(+ x (* -1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) |
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x y)) |
(sqrt (* x y)) |
(sqrt.f64 (*.f64 x y)) |
(+ (sqrt (* x y)) (* -1/12 (sqrt (* x (pow y 5))))) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) x)) #s(literal -1/12 binary64) (sqrt.f64 (*.f64 x y))) |
(+ (sqrt (* x y)) (* (pow y 3) (+ (* -1/12 (sqrt (/ x y))) (* 1/240 (sqrt (* x (pow y 3))))))) |
(fma.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) #s(literal 1/240 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) #s(literal -1/12 binary64))) (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (*.f64 x y))) |
(+ (sqrt (* x y)) (* (pow y 3) (+ (* -1/12 (sqrt (/ x y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ x y))) (* 1/240 (sqrt (/ x y)))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 x y))) #s(literal 1/1440 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) #s(literal -1/12 binary64))) (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (*.f64 x y))) |
(sin y) |
(sin.f64 y) |
(cos y) |
(cos.f64 y) |
(* y (+ x (/ z y))) |
(*.f64 (+.f64 (/.f64 z y) x) y) |
(* -1/6 (* x (pow y 3))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/6 binary64)) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3)))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) x) y)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(*.f64 (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y) y) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) (*.f64 y y)) |
(* y (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y) |
(* -1/2 (* (pow y 2) z)) |
(*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)) |
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (/.f64 z y) y)) y) y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(*.f64 (+.f64 (/.f64 z y) x) y) |
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) x) y)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) (*.f64 y y)) |
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ 1 (/ (* x y) z))) |
(fma.f64 (*.f64 z x) (/.f64 y z) z) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) z)) z z) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) z)) z) |
(* z (- (* -1/6 (/ (* x y) z)) 1/2)) |
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(*.f64 (neg.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) (neg.f64 z)) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) z)) z) |
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 158 |
| 0 | 55 | 149 |
| 1 | 214 | 149 |
| 2 | 1347 | 149 |
| 0 | 8245 | 148 |
| 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))) (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)) |
(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) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) 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))) |
(*.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)) |
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (+.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 x) (sin.f64 y)))) (fma.f64 z (cos.f64 y) (*.f64 (neg.f64 x) (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (*.f64 (neg.f64 (sin.f64 y)) x))) (fma.f64 z (cos.f64 y) (*.f64 (neg.f64 (sin.f64 y)) x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (neg.f64 x) (sin.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 y)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (*.f64 (neg.f64 (sin.f64 y)) x) (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) x))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y))) (*.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z)) (*.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(fma.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y)))) (sqrt.f64 x) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y))) |
(fma.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y)))) (sqrt.f64 x) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z)) |
(fma.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y)))) (sqrt.f64 x) (*.f64 z (cos.f64 y))) |
(fma.f64 (fabs.f64 (sin.f64 y)) x (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y))) |
(fma.f64 (fabs.f64 (sin.f64 y)) x (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z)) |
(fma.f64 (fabs.f64 (sin.f64 y)) x (*.f64 z (cos.f64 y))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) x)) (sqrt.f64 (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) x)) (sqrt.f64 (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z)) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) x)) (sqrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y))) |
(fma.f64 (sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z)) |
(fma.f64 (sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64)) (*.f64 z (cos.f64 y))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 x (sin.f64 y)) x) #s(literal 1/2 binary64)) (sqrt.f64 (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y))) |
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(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 x (sin.f64 y))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 x (sin.f64 y))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (*.f64 x (sin.f64 y)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 x)) |
(*.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 x)) |
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/2 binary64)) |
(neg.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))) |
(sqrt.f64 (*.f64 x (sin.f64 y))) |
(fabs.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))) |
(exp.f64 (/.f64 (log.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (sin.f64 y))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 x (sin.f64 y))))) (sinh.f64 (log.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))))) |
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y)))) (sqrt.f64 x)) |
(*.f64 (fabs.f64 (sin.f64 y)) x) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) x)) (sqrt.f64 (sin.f64 y))) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x (sin.f64 y)) x) #s(literal 1/2 binary64)) (sqrt.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (*.f64 x (sin.f64 y)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y))) (sqrt.f64 x)) |
(*.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) (*.f64 x (sin.f64 y))))) |
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sin.f64 y) (*.f64 x (sin.f64 y))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (fabs.f64 (sqrt.f64 (*.f64 x (*.f64 x (sin.f64 y)))))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 x (*.f64 x (sin.f64 y))))) |
(*.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y)))) |
(*.f64 x (fabs.f64 (sin.f64 y))) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64))) |
(*.f64 (sin.f64 y) x) |
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) |
(neg.f64 (*.f64 x (sin.f64 y))) |
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 x (sin.f64 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (*.f64 x (sin.f64 y)))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 x (sin.f64 y)))) (sinh.f64 (log.f64 (*.f64 x (sin.f64 y))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z) |
(*.f64 z (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z)) (*.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1 binary64) z))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z) (*.f64 #s(literal 1 binary64) z))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z))) (-.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z))) |
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)) (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))) (*.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64)))) (-.f64 (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)) (*.f64 z #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64))) (*.f64 (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)) (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))) (-.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z) (*.f64 #s(literal 1 binary64) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1 binary64) z) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z)) (*.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)) (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)) (-.f64 (*.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64))) (*.f64 (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)) (*.f64 z #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)) (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))) (*.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) z)) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) z)) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) z) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) z) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))) |
(/.f64 (*.f64 z (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) #s(literal 1 binary64))) |
(/.f64 (*.f64 z (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z (*.f64 #s(literal 1 binary64) z)) |
(fma.f64 #s(literal 1 binary64) z (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z)) |
(fma.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (*.f64 z #s(literal 1 binary64))) |
(fma.f64 z #s(literal 1 binary64) (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z) (*.f64 #s(literal 1 binary64) z)) |
(+.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z)) |
(+.f64 (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)) (*.f64 z #s(literal 1 binary64))) |
(+.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))) |
Compiled 22 865 to 2 042 computations (91.1% saved)
25 alts after pruning (23 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 586 | 20 | 606 |
| Fresh | 4 | 3 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 593 | 25 | 618 |
| Status | Accuracy | Program |
|---|---|---|
| 27.1% | (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) | |
| 39.6% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (*.f64 (sin.f64 y) x)) | |
| 48.4% | (fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 76.7% | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| 29.9% | (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) | |
| 38.7% | (+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))) | |
| ▶ | 52.2% | (+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))) |
| 49.4% | (*.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))))) | |
| ▶ | 88.7% | #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
| 41.7% | #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x)) | |
| ▶ | 94.7% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
| 60.3% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (cos.f64 y) z)) | |
| 50.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) z)) y x) y z)) | |
| 52.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z)) | |
| 37.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y) (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) (+.f64 x (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) y z)) | |
| 36.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z)) | |
| 36.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) | |
| ✓ | 53.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 29.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 z (*.f64 (neg.f64 y) x)))) | |
| 36.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) | |
| ▶ | 47.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) |
| 46.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) | |
| 51.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64))))) | |
| ▶ | 19.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
Compiled 1 330 to 795 computations (40.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (cos.f64 y) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) | |
| cost-diff | 2 | (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) | |
| cost-diff | 0 | #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) | |
| cost-diff | 0 | (+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))) | |
| cost-diff | 2 | (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) | |
| cost-diff | 2 | (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y) | |
| 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 | 4 | (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 | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) | |
| cost-diff | 2 | (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 341 |
| 0 | 80 | 334 |
| 1 | 148 | 334 |
| 2 | 356 | 329 |
| 3 | 1131 | 329 |
| 4 | 4102 | 313 |
| 5 | 7644 | 313 |
| 0 | 8019 | 290 |
| 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 |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #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)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y) |
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal 1/120 binary64) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
z |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
z |
(sin.f64 y) |
| Outputs |
|---|
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(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 x y z))) |
#s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)) |
#s(approx (+ (* y x) z) (fma.f64 x y z)) |
(fma.f64 (*.f64 z x) (/.f64 y z) z) |
(fma.f64 x y z) |
(*.f64 z x) |
z |
x |
(/.f64 y z) |
y |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))) |
(+.f64 #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)) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) y)))) |
#s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) |
#s(approx (* x (sin y)) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) y))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y) |
(*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) y)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal 1/120 binary64) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
z |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (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)) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
z |
(sin.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) | |
| accuracy | 0.0625 | (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) | |
| accuracy | 0.0859375 | (/.f64 (cos.f64 y) x) | |
| accuracy | 3.1158815163889657 | (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) | |
| accuracy | 2.6105530225835683 | (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z) | |
| accuracy | 4.434727291924057 | (*.f64 (*.f64 y y) x) | |
| accuracy | 17.420024425728712 | #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)) | |
| accuracy | 17.426418784220584 | #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) | |
| accuracy | 0.0 | (*.f64 z x) | |
| accuracy | 0.0 | #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)) | |
| accuracy | 6.96251393286187 | (fma.f64 (*.f64 z x) (/.f64 y z) z) | |
| accuracy | 17.26473807268142 | #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 | 14.616874669586881 | #s(approx (+ (* y x) z) (*.f64 x y)) | |
| accuracy | 17.26473807268142 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) | |
| accuracy | 0.0 | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) | |
| accuracy | 0.0625 | (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) | |
| accuracy | 0.078125 | (/.f64 (sin.f64 y) z) | |
| accuracy | 2.375344137454962 | (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
| 70.0ms | 140× | 0 | valid |
| 49.0ms | 116× | 0 | invalid |
Compiled 241 to 47 computations (80.5% saved)
ival-mult: 43.0ms (43.8% of total)ival-div: 23.0ms (23.4% of total)ival-add: 11.0ms (11.2% of total)ival-sin: 7.0ms (7.1% of total)const: 7.0ms (7.1% of total)ival-cos: 5.0ms (5.1% of total)ival-sqrt: 2.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
#s(approx (+ (* (sin y) x) (* (cos 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) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #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)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(/.f64 (cos.f64 y) x) |
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)) |
(*.f64 (*.f64 y y) x) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z) |
| 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) |
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* x (sin y)) |
(/ (* z (cos y)) x) |
(/ (+ (* x (sin y)) (* z (cos y))) x) |
(/ (cos y) x) |
(* x (pow y 2)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(/ (* x (sin y)) z) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(* x (+ y (/ z x))) |
(sin y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(* -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))))) |
(* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))) |
(* -1 (* x (+ 1/6 (* -1/120 (pow y 2))))) |
(* -1 (* x (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2))))) |
(+ 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))) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* -1/6 x) |
(+ (* -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 x) |
(+ y (/ z x)) |
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x)) |
(/ 1 x) |
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(+ z (* -1/2 (* (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)))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(/ (sin y) z) |
(* y (+ x (/ z y))) |
(* 1/120 (* x (pow y 5))) |
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* 1/120 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* (pow y 5) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | y | @ | -inf | ((* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (sin y) 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) (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (* z (cos y)) (* (* y y) x) (* (+ (* (* -1/2 y) y) 1) z)) |
| 7.0ms | x | @ | 0 | ((* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (sin y) 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) (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (* z (cos y)) (* (* y y) x) (* (+ (* (* -1/2 y) y) 1) z)) |
| 5.0ms | x | @ | -inf | ((* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (sin y) 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) (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (* z (cos y)) (* (* y y) x) (* (+ (* (* -1/2 y) y) 1) z)) |
| 4.0ms | y | @ | inf | ((* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (sin y) 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) (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (* z (cos y)) (* (* y y) x) (* (+ (* (* -1/2 y) y) 1) z)) |
| 4.0ms | x | @ | inf | ((* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (sin y) 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) (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (* z (cos y)) (* (* y y) x) (* (+ (* (* -1/2 y) y) 1) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 234 | 770 |
| 1 | 865 | 758 |
| 2 | 3177 | 724 |
| 3 | 7271 | 720 |
| 0 | 8487 | 655 |
| 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) |
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* x (sin y)) |
(/ (* z (cos y)) x) |
(/ (+ (* x (sin y)) (* z (cos y))) x) |
(/ (cos y) x) |
(* x (pow y 2)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(/ (* x (sin y)) z) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(* x (+ y (/ z x))) |
(sin y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(* -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))))) |
(* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))) |
(* -1 (* x (+ 1/6 (* -1/120 (pow y 2))))) |
(* -1 (* x (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2))))) |
(+ 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))) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* -1/6 x) |
(+ (* -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 x) |
(+ y (/ z x)) |
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x)) |
(/ 1 x) |
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(+ z (* -1/2 (* (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)))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(/ (sin y) z) |
(* y (+ x (/ z y))) |
(* 1/120 (* x (pow y 5))) |
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* 1/120 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* (pow y 5) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
| 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)) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 (/.f64 x z) (sin.f64 y) (cos.f64 y)) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(* x y) |
(*.f64 x y) |
(* x z) |
(*.f64 x z) |
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(*.f64 (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) x) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(/ (* z (cos y)) x) |
(/.f64 (*.f64 (cos.f64 y) z) x) |
(/ (+ (* x (sin y)) (* z (cos y))) x) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(/ (* x (sin y)) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z) |
(* x (+ y (/ z x))) |
(fma.f64 x y z) |
(sin y) |
(sin.f64 y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(fma.f64 x y z) |
(* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))) |
(*.f64 (*.f64 (neg.f64 y) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) #s(literal 1 binary64)))) |
(* -1 (* x (+ 1/6 (* -1/120 (pow y 2))))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) |
(* -1 (* x (* (sin y) (pow (sqrt -1) 2)))) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 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 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) 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 #s(literal 1/120 binary64) (*.f64 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)) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 y y) x) y) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 x y)) |
(/ z x) |
(/.f64 z x) |
(+ y (/ z x)) |
(+.f64 (/.f64 z x) y) |
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x)) |
(+.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z) x) y) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 z x))) y #s(literal 1 binary64)) y (/.f64 z x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #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 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) |
(+ z (* -1/2 (* (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 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 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(* y (+ x (/ z y))) |
(*.f64 (+.f64 (/.f64 z y) x) y) |
(* 1/120 (* x (pow y 5))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) x) #s(literal 1/120 binary64)) |
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(*.f64 (*.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64))) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(*.f64 (fma.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64))) |
(* 1/120 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(*.f64 (*.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64))) (*.f64 y y)) |
(* -1/2 (* (pow y 2) z)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z) |
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (/.f64 z y) y)) y) y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(*.f64 (+.f64 (/.f64 z y) x) y) |
(* -1 (* (pow y 5) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))) |
(*.f64 (*.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64))) (pow.f64 y #s(literal 5 binary64))) |
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))) |
(*.f64 (fma.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64))) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z) |
(* z (+ 1 (/ (* x y) z))) |
(fma.f64 x y z) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (*.f64 (neg.f64 y) x) z) #s(literal 1 binary64))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 282 |
| 0 | 80 | 275 |
| 1 | 287 | 275 |
| 2 | 1919 | 275 |
| 0 | 8332 | 267 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
#s(approx (+ (* (sin y) x) (* (cos 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) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #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)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(/.f64 (cos.f64 y) x) |
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)) |
(*.f64 (*.f64 y y) x) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z) |
| Outputs |
|---|
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z)) (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))) |
(/.f64 (neg.f64 (*.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))) |
(/.f64 (*.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z (*.f64 (cos.f64 y) z)) |
(fma.f64 (cos.f64 y) z (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)) |
(fma.f64 (cos.f64 y) z (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))) |
(fma.f64 z (*.f64 x (/.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) z)) |
(fma.f64 z (cos.f64 y) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)) |
(fma.f64 z (cos.f64 y) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))) |
(+.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))) (*.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) |
(fma.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (/.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) z) (cos.f64 y)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))) |
(-.f64 (cos.f64 y) (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) z))) |
(-.f64 (cos.f64 y) (*.f64 (neg.f64 (/.f64 (sin.f64 y) z)) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) |
(+.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 z)) |
(/.f64 (sin.f64 y) z) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) z)) |
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 z))) |
#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) |
(*.f64 y x) |
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (*.f64 x y))) |
(fabs.f64 (*.f64 x y)) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (*.f64 (/.f64 y z) z) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (*.f64 (*.f64 (/.f64 y z) z) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y z) z) x) #s(literal 2 binary64)) (*.f64 z z)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 y z) z) x) z)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 y z) z) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 z (*.f64 (*.f64 (/.f64 y z) z) x)) (pow.f64 (*.f64 (*.f64 (/.f64 y z) z) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y z) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 y z) z) x) z)) (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 y z) z) x) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 y z) z) x) z) (-.f64 (*.f64 (*.f64 (/.f64 y z) z) x) z))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y z) z) x) #s(literal 3 binary64)) (fma.f64 z (-.f64 z (*.f64 (*.f64 (/.f64 y z) z) x)) (pow.f64 (*.f64 (*.f64 (/.f64 y z) z) x) #s(literal 2 binary64))) (*.f64 (fma.f64 z (-.f64 z (*.f64 (*.f64 (/.f64 y z) z) x)) (pow.f64 (*.f64 (*.f64 (/.f64 y z) z) x) #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z (-.f64 z (*.f64 (*.f64 (/.f64 y z) z) x)) (pow.f64 (*.f64 (*.f64 (/.f64 y z) z) x) #s(literal 2 binary64))) (fma.f64 z (-.f64 z (*.f64 (*.f64 (/.f64 y z) z) x)) (pow.f64 (*.f64 (*.f64 (/.f64 y z) z) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (*.f64 (/.f64 y z) z) x) #s(literal 2 binary64))) (-.f64 z (*.f64 (*.f64 (/.f64 y z) z) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y z) z) x) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 y z) z) x) z))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 y z) z) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y z) z) x) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (*.f64 (*.f64 x z) z)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 y z) z) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 (*.f64 (/.f64 y z) z) x)) (pow.f64 (*.f64 (*.f64 (/.f64 y z) z) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y z) z) x) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (*.f64 (/.f64 y z) z) x) z)) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 y z) z) x) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y z) z) x) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (*.f64 (*.f64 x z) z))))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 y z) z) x) #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 (*.f64 (/.f64 y z) z) x)) (pow.f64 (*.f64 (*.f64 (/.f64 y z) z) x) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (/.f64 y z) z) x z) |
(fma.f64 (*.f64 (/.f64 y z) x) z z) |
(fma.f64 (/.f64 y z) (*.f64 x z) z) |
(fma.f64 (*.f64 x z) (/.f64 y z) z) |
(fma.f64 x (*.f64 z (/.f64 y z)) z) |
(fma.f64 z (*.f64 (/.f64 y z) x) z) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y z) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 y z) z) x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 (/.f64 y z) z) x) z))) |
(-.f64 z (*.f64 (neg.f64 (/.f64 y z)) (*.f64 x z))) |
(-.f64 z (*.f64 (neg.f64 (*.f64 x z)) (/.f64 y z))) |
(-.f64 z (*.f64 (neg.f64 z) (*.f64 (/.f64 y z) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y z) z) x) #s(literal 3 binary64)) (fma.f64 z (-.f64 z (*.f64 (*.f64 (/.f64 y z) z) x)) (pow.f64 (*.f64 (*.f64 (/.f64 y z) z) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z (*.f64 (*.f64 (/.f64 y z) z) x)) (pow.f64 (*.f64 (*.f64 (/.f64 y z) z) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (/.f64 y z) z) x) z) |
(+.f64 z (*.f64 (*.f64 (/.f64 y z) z) x)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 x z) z))) |
#s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 x z) z)) |
(*.f64 x z) |
(*.f64 z x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y) |
(*.f64 y (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) y)) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) y) y) x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) y) y)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64)))))) |
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(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) x)) (sqrt.f64 (sin.f64 y)) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)) x (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)) x (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 x (sin.f64 y)) x) #s(literal 1/2 binary64)) (sqrt.f64 (sin.f64 y)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (pow.f64 (*.f64 (*.f64 x (sin.f64 y)) x) #s(literal 1/2 binary64)) (sqrt.f64 (sin.f64 y)) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (*.f64 x (sin.f64 y)))) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (*.f64 x (sin.f64 y)))) #s(literal 1 binary64)) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y))) (sqrt.f64 x) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y))) (sqrt.f64 x) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64))) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64))) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) (*.f64 x (sin.f64 y)))) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) (*.f64 x (sin.f64 y)))) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sin.f64 y) (*.f64 x (sin.f64 y))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sin.f64 y) (*.f64 x (sin.f64 y))) #s(literal 1/2 binary64)) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (sqrt.f64 (sin.f64 y)) (fabs.f64 (sqrt.f64 (*.f64 x (*.f64 x (sin.f64 y))))) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (sqrt.f64 (sin.f64 y)) (fabs.f64 (sqrt.f64 (*.f64 x (*.f64 x (sin.f64 y))))) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 x (*.f64 x (sin.f64 y)))) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 x (*.f64 x (sin.f64 y)))) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x (*.f64 x (sin.f64 y))) |
(fma.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 x (*.f64 (/.f64 (cos.f64 y) x) z) (*.f64 x (sin.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 x (sin.f64 y) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (sin.f64 y) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (sin.f64 y) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (sin.f64 y) x (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (sin.f64 y) x (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x) (*.f64 x (sin.f64 y))) |
(+.f64 (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z)) (*.f64 x (sin.f64 y))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))) (*.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64))) (*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64))) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (sin.f64 y) (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (neg.f64 (sqrt.f64 (sin.f64 y))) (*.f64 (/.f64 (cos.f64 y) x) z)) |
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 (/.f64 (cos.f64 y) x) z)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(-.f64 (sin.f64 y) (*.f64 (neg.f64 (/.f64 (cos.f64 y) x)) z)) |
(-.f64 (sin.f64 y) (*.f64 (neg.f64 z) (/.f64 (cos.f64 y) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(+.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) 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))) |
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)) |
(*.f64 (*.f64 x (neg.f64 y)) (neg.f64 y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 (*.f64 x y) y) |
(*.f64 x (*.f64 y y)) |
(*.f64 y (*.f64 x y)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z) |
(*.f64 z (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) z)) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) z)) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) z) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) z) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))) |
(/.f64 (*.f64 z (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) #s(literal 1 binary64))) |
(/.f64 (*.f64 z (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z (*.f64 #s(literal 1 binary64) z)) |
(fma.f64 #s(literal 1 binary64) z (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z)) |
(fma.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (*.f64 z #s(literal 1 binary64))) |
(fma.f64 z #s(literal 1 binary64) (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z) (*.f64 #s(literal 1 binary64) z)) |
(+.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z)) |
(+.f64 (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)) (*.f64 z #s(literal 1 binary64))) |
(+.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))) |
Compiled 13 947 to 1 425 computations (89.8% saved)
29 alts after pruning (23 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 311 | 10 | 321 |
| Fresh | 5 | 13 | 18 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 317 | 29 | 346 |
| Status | Accuracy | Program |
|---|---|---|
| 48.4% | (fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 76.7% | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| 29.9% | (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) | |
| 38.7% | (+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))) | |
| ▶ | 52.2% | (+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))) |
| 49.4% | (*.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))))) | |
| 63.3% | #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)))) | |
| ✓ | 88.7% | #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
| ▶ | 88.7% | #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) |
| 41.7% | #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x)) | |
| 30.9% | #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) | |
| ▶ | 46.3% | #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x)) |
| 77.6% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))) | |
| ✓ | 94.7% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
| 60.3% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (cos.f64 y) z)) | |
| 51.2% | #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)) | |
| ▶ | 36.6% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z)) |
| ▶ | 37.9% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) |
| 52.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z)) | |
| 37.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y) (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) (+.f64 x (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) y z)) | |
| 36.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z)) | |
| 36.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) | |
| ✓ | 53.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 29.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 z (*.f64 (neg.f64 y) x)))) | |
| 36.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) | |
| ✓ | 47.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) |
| ✓ | 19.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| 13.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y)))) |
Compiled 1 486 to 883 computations (40.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 y) x) z) | |
| cost-diff | 0 | #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z) | |
| cost-diff | 0 | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y) | |
| cost-diff | 0 | #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) | |
| cost-diff | 0 | (+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))) | |
| cost-diff | 0 | (+.f64 (/.f64 z x) y) | |
| cost-diff | 0 | #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x)) | |
| 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 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) | |
| cost-diff | 2 | (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 462 |
| 0 | 84 | 445 |
| 1 | 151 | 430 |
| 2 | 348 | 430 |
| 3 | 913 | 430 |
| 4 | 2083 | 428 |
| 5 | 3580 | 428 |
| 6 | 6528 | 428 |
| 0 | 8048 | 416 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x) |
(fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) |
(cos.f64 y) |
y |
(/.f64 z x) |
z |
x |
(sin.f64 y) |
#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 (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x)) |
(*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) |
(+.f64 (/.f64 z x) y) |
(/.f64 z x) |
z |
x |
y |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) 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)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) |
(*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y) |
(fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) |
#s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
x |
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
z |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z)) |
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
z |
| Outputs |
|---|
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(cos.f64 y) |
y |
(/.f64 z x) |
z |
x |
(sin.f64 y) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (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 (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x)) |
(*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) |
(+.f64 (/.f64 z x) y) |
(/.f64 z x) |
z |
x |
y |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))) |
(+.f64 #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)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x y)))) |
#s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) |
#s(approx (* x (sin y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x y))) |
(*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x y)) |
(fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) |
(fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) |
#s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) |
#s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
x |
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
z |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) z)) |
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z) |
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) z) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(*.f64 (/.f64 (sin.f64 y) z) x) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08203125 | (*.f64 (sin.f64 y) x) | |
| accuracy | 2.025981060004422 | (/.f64 (*.f64 (sin.f64 y) x) z) | |
| accuracy | 2.375344137454962 | (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z) | |
| accuracy | 18.35315904662732 | #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) | |
| accuracy | 2.6105530225835683 | (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z) | |
| accuracy | 2.6282033634743867 | (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) | |
| accuracy | 17.420024425728712 | #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)) | |
| accuracy | 17.426418784220584 | #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) | |
| accuracy | 0.0 | #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x)) | |
| accuracy | 0.01171875 | (+.f64 (/.f64 z x) y) | |
| accuracy | 3.1158815163889657 | (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x) | |
| accuracy | 16.53782969443218 | #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) | |
| 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 | 2.375344137454962 | (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z) | |
| accuracy | 23.44068285182551 | #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.0 | #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) | |
| accuracy | 0.0546875 | (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) | |
| accuracy | 3.1158815163889657 | (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x) |
| 81.0ms | 116× | 0 | invalid |
| 68.0ms | 140× | 0 | valid |
Compiled 279 to 49 computations (82.4% saved)
ival-mult: 35.0ms (35% of total)const: 32.0ms (32% of total)ival-add: 11.0ms (11% of total)ival-div: 7.0ms (7% of total)ival-sin: 7.0ms (7% of total)ival-cos: 5.0ms (5% of total)ival-sqrt: 2.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) |
(fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) |
(cos.f64 y) |
#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 (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x)) |
(*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) |
(+.f64 (/.f64 z x) y) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) 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)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) |
(*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y) |
(fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z)) |
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z) |
(*.f64 (sin.f64 y) x) |
| Outputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(/ (* z (cos y)) x) |
(/ (+ (* x (sin y)) (* z (cos y))) x) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(/ z x) |
(/ (+ z (* x y)) x) |
(* x (sin y)) |
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(/ (* x (sin y)) z) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(sin y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
y |
(+ y (/ z x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))) |
(* -1 (* x (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x)) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ 1 (/ (* x y) z)) |
(+ 1 (* y (+ (* -1/2 y) (/ x z)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z)))) |
(* 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))))))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(/ (* x y) z) |
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))) |
(+ 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)))))) |
(* -1/6 x) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* y (+ 1 (/ z (* x y)))) |
(* 1/120 (* x (pow y 5))) |
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* 1/120 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2)))) |
(* -1 (* y (- (* -1 (/ z (* x y))) 1))) |
(* -1 (* (pow y 5) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(* z (+ (/ 1 x) (/ y z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (- (* -1 (/ y z)) (/ 1 x)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | x | @ | inf | ((* (+ (* (cos y) (/ z x)) (sin y)) x) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (+ (* (cos y) (/ z x)) (sin y)) (cos y) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (+ (/ z x) y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (* (sin y) x) z) (* z (cos y)) (* (+ (* 1/120 (* y y)) -1/6) x) (* (+ (* (* -1/2 y) y) 1) z) (* (sin y) x)) |
| 4.0ms | x | @ | -inf | ((* (+ (* (cos y) (/ z x)) (sin y)) x) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (+ (* (cos y) (/ z x)) (sin y)) (cos y) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (+ (/ z x) y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (* (sin y) x) z) (* z (cos y)) (* (+ (* 1/120 (* y y)) -1/6) x) (* (+ (* (* -1/2 y) y) 1) z) (* (sin y) x)) |
| 3.0ms | x | @ | 0 | ((* (+ (* (cos y) (/ z x)) (sin y)) x) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (+ (* (cos y) (/ z x)) (sin y)) (cos y) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (+ (/ z x) y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (* (sin y) x) z) (* z (cos y)) (* (+ (* 1/120 (* y y)) -1/6) x) (* (+ (* (* -1/2 y) y) 1) z) (* (sin y) x)) |
| 3.0ms | z | @ | -inf | ((* (+ (* (cos y) (/ z x)) (sin y)) x) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (+ (* (cos y) (/ z x)) (sin y)) (cos y) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (+ (/ z x) y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (* (sin y) x) z) (* z (cos y)) (* (+ (* 1/120 (* y y)) -1/6) x) (* (+ (* (* -1/2 y) y) 1) z) (* (sin y) x)) |
| 3.0ms | y | @ | inf | ((* (+ (* (cos y) (/ z x)) (sin y)) x) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (+ (* (cos y) (/ z x)) (sin y)) (cos y) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (+ (/ z x) y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (* (sin y) x) z) (* z (cos y)) (* (+ (* 1/120 (* y y)) -1/6) x) (* (+ (* (* -1/2 y) y) 1) z) (* (sin y) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 227 | 843 |
| 1 | 836 | 833 |
| 2 | 3088 | 789 |
| 3 | 7282 | 785 |
| 0 | 8020 | 719 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(/ (* z (cos y)) x) |
(/ (+ (* x (sin y)) (* z (cos y))) x) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(/ z x) |
(/ (+ z (* x y)) x) |
(* x (sin y)) |
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(/ (* x (sin y)) z) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(sin y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
y |
(+ y (/ z x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))) |
(* -1 (* x (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x)) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ 1 (/ (* x y) z)) |
(+ 1 (* y (+ (* -1/2 y) (/ x z)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z)))) |
(* 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))))))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(/ (* x y) z) |
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))) |
(+ 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)))))) |
(* -1/6 x) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* y (+ 1 (/ z (* x y)))) |
(* 1/120 (* x (pow y 5))) |
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* 1/120 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2)))) |
(* -1 (* y (- (* -1 (/ z (* x y))) 1))) |
(* -1 (* (pow y 5) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(* z (+ (/ 1 x) (/ y z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (- (* -1 (/ y z)) (/ 1 x)))) |
| 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 (cos y)) x) |
(*.f64 (/.f64 (cos.f64 y) x) z) |
(/ (+ (* x (sin y)) (* z (cos y))) x) |
(fma.f64 (/.f64 (cos.f64 y) x) z (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 x) |
(/.f64 z x) |
(/ (+ z (* x y)) x) |
(+.f64 (/.f64 z x) y) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) x) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) |
(/ (* x (sin y)) z) |
(*.f64 (/.f64 (sin.f64 y) z) x) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(sin y) |
(sin.f64 y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z) |
y |
(+ y (/ z x)) |
(+.f64 (/.f64 z x) y) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (* (sin y) (pow (sqrt -1) 2)))) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z) |
(* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))) |
(*.f64 (*.f64 (neg.f64 x) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64)) #s(literal 1 binary64)))) |
(* -1 (* x (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64)) #s(literal 1 binary64)))) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) y x) y z) |
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z) x) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z x) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 z x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 y y) #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 y z) x) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 x y) |
(* 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 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) x) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 x y)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z) y) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) x) z) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) z) y) |
(+ z (* -1/2 (* (pow y 2) z))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (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 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* y (+ 1 (/ z (* x y)))) |
(fma.f64 (/.f64 y x) (/.f64 z y) y) |
(* 1/120 (* x (pow y 5))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) x) #s(literal 1/120 binary64)) |
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(*.f64 (*.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64))) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(*.f64 (fma.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64))) |
(* 1/120 (* x (pow y 4))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/120 binary64)) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64)))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(*.f64 (fma.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(* 1/120 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(*.f64 (*.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64))) (*.f64 y y)) |
(* -1/2 (* (pow y 2) z)) |
(*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)) |
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 z (*.f64 y y))) y) y) |
(* -1 (* y (- (* -1 (/ z (* x y))) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 (neg.f64 z) y) x) #s(literal 1 binary64))) |
(* -1 (* (pow y 5) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))) |
(*.f64 (*.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64))) (pow.f64 y #s(literal 5 binary64))) |
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))) |
(*.f64 (fma.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64))) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(* z (+ (/ 1 x) (/ y z))) |
(+.f64 (/.f64 z x) y) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(* -1 (* z (- (* -1 (/ y z)) (/ 1 x)))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 396 |
| 0 | 84 | 379 |
| 1 | 291 | 367 |
| 2 | 1928 | 367 |
| 0 | 8705 | 357 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) |
(fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) |
(cos.f64 y) |
#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 (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x)) |
(*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) |
(+.f64 (/.f64 z x) y) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) 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)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) |
(*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y) |
(fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z)) |
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z) |
(*.f64 (sin.f64 y) x) |
| Outputs |
|---|
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(*.f64 x (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) |
(fma.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) (sin.f64 y)))) (sqrt.f64 x) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) (sin.f64 y)))) (sqrt.f64 x) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) x)) (sqrt.f64 (sin.f64 y)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) x)) (sqrt.f64 (sin.f64 y)) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)) x (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)) x (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) x) x) #s(literal 1/2 binary64)) (sqrt.f64 (sin.f64 y)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) x) x) #s(literal 1/2 binary64)) (sqrt.f64 (sin.f64 y)) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) (sin.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) (sin.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (*.f64 (sin.f64 y) x))) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (*.f64 (sin.f64 y) x))) #s(literal 1 binary64)) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) (sin.f64 y))) (sqrt.f64 x) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) (sin.f64 y))) (sqrt.f64 x) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3/2 binary64))) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3/2 binary64))) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (neg.f64 (sin.f64 y)) x (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (neg.f64 (sin.f64 y)) x (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) x))) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) x))) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 (sqrt.f64 (sin.f64 y)) (fabs.f64 (sqrt.f64 (*.f64 x (*.f64 (sin.f64 y) x)))) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
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(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (-.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y)))))) (/.f64 (*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (-.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y))))))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z) |
(*.f64 z (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) z) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) z) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))) |
(/.f64 (*.f64 z (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) #s(literal 1 binary64))) |
(/.f64 (*.f64 z (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z (*.f64 #s(literal 1 binary64) z)) |
(fma.f64 #s(literal 1 binary64) z (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z)) |
(fma.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (*.f64 z #s(literal 1 binary64))) |
(fma.f64 z #s(literal 1 binary64) (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z) (*.f64 #s(literal 1 binary64) z)) |
(+.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z)) |
(+.f64 (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)) (*.f64 z #s(literal 1 binary64))) |
(+.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))) |
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) (sin.f64 y)))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) x)) (sqrt.f64 (sin.f64 y))) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) x) x) #s(literal 1/2 binary64)) (sqrt.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) (sin.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (*.f64 (sin.f64 y) x))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) (sin.f64 y))) (sqrt.f64 x)) |
(*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (sin.f64 y)) x) |
(*.f64 (neg.f64 x) (sin.f64 y)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) x)))) |
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (fabs.f64 (sqrt.f64 (*.f64 x (*.f64 (sin.f64 y) x))))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 x (*.f64 (sin.f64 y) x)))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 (sin.f64 y) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64))) |
(*.f64 (sin.f64 y) (neg.f64 x)) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (neg.f64 (sin.f64 y))) |
(*.f64 x (sin.f64 y)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (sin.f64 y) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal 1/2 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)))) |
Compiled 16 457 to 1 617 computations (90.2% saved)
32 alts after pruning (25 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 325 | 9 | 334 |
| Fresh | 2 | 16 | 18 |
| Picked | 2 | 3 | 5 |
| Done | 2 | 4 | 6 |
| Total | 331 | 32 | 363 |
| Status | Accuracy | Program |
|---|---|---|
| 48.4% | (fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 76.7% | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| 29.9% | (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) | |
| 38.7% | (+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))) | |
| 18.6% | (+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) #s(approx (* (+ (* (* -1/2 y) y) 1) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))) | |
| 49.4% | (*.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))))) | |
| 63.3% | #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)))) | |
| ✓ | 88.7% | #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) |
| 41.7% | #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x)) | |
| 36.6% | #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) z)) | |
| 15.1% | #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (/.f64 z x))) x)) | |
| 23.8% | #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 z x))) x)) | |
| 30.9% | #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) | |
| ✓ | 46.3% | #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x)) |
| 35.2% | #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(approx (+ (/ z x) y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 (neg.f64 z) y) x) #s(literal 1 binary64))))) x)) | |
| 49.1% | #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x)) | |
| 60.3% | #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) #s(approx (* (+ (* (cos y) (/ z x)) (sin y)) x) (*.f64 (cos.f64 y) z))) | |
| 77.6% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))) | |
| 13.0% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (/ (* (sin y) x) z) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z) y))) z)) | |
| 17.1% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (/ (* (sin y) x) z) (*.f64 (/.f64 y z) x))) z)) | |
| ✓ | 37.9% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) |
| 52.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z)) | |
| 37.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y) (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) (+.f64 x (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) y z)) | |
| 36.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z)) | |
| 36.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) | |
| ✓ | 53.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 29.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 z (*.f64 (neg.f64 y) x)))) | |
| 36.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) | |
| ✓ | 47.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) |
| ✓ | 19.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| 13.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y)))) |
Compiled 2 474 to 860 computations (65.2% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#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) (fabs.f64 (*.f64 x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) |
#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))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (/ (* (sin y) x) z) (*.f64 (/.f64 y z) x))) 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))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y 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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (/ (* (sin y) x) z) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z) y))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) z)) y x) y z)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(approx (+ (/ z x) y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 (neg.f64 z) y) x) #s(literal 1 binary64))))) x)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 z x))) x)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (/.f64 z x))) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 z (*.f64 (neg.f64 y) x)))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) #s(approx (* (+ (* (* -1/2 y) y) 1) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #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))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y) (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) (+.f64 x (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) #s(approx (* (+ (* (cos y) (/ z x)) (sin y)) x) (*.f64 (cos.f64 y) z))) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.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))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))) |
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) x)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z)) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (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)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(*.f64 (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 (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:
| 32.0ms | y |
| 15.0ms | z |
| 13.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* (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) (fabs.f64 (*.f64 x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) |
#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))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (/ (* (sin y) x) z) (*.f64 (/.f64 y z) x))) 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))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y 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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (/ (* (sin y) x) z) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z) y))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) z)) y x) y z)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(approx (+ (/ z x) y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 (neg.f64 z) y) x) #s(literal 1 binary64))))) x)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 z x))) x)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (/.f64 z x))) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 z (*.f64 (neg.f64 y) x)))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) #s(approx (* (+ (* (* -1/2 y) y) 1) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #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))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y) (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) (+.f64 x (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) #s(approx (* (+ (* (cos y) (/ z x)) (sin y)) x) (*.f64 (cos.f64 y) z))) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.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))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
4 calls:
| 27.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 13.0ms | y |
| 11.0ms | x |
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.9% | 3 | x |
| 82.4% | 3 | y |
| 87.5% | 3 | z |
| 79.7% | 2 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* (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) (fabs.f64 (*.f64 x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) |
#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))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (/ (* (sin y) x) z) (*.f64 (/.f64 y z) x))) 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))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y 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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (/ (* (sin y) x) z) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z) y))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) z)) y x) y z)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(approx (+ (/ z x) y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 (neg.f64 z) y) x) #s(literal 1 binary64))))) x)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 z x))) x)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (/.f64 z x))) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 z (*.f64 (neg.f64 y) x)))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) #s(approx (* (+ (* (* -1/2 y) y) 1) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #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))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y) (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) (+.f64 x (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) #s(approx (* (+ (* (cos y) (/ z x)) (sin y)) x) (*.f64 (cos.f64 y) z))) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x)) |
#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 (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
4 calls:
| 11.0ms | y |
| 11.0ms | x |
| 8.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 8.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.5% | 5 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 82.1% | 5 | y |
| 75.7% | 3 | x |
| 74.9% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* (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) (fabs.f64 (*.f64 x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) |
#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))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (/ (* (sin y) x) z) (*.f64 (/.f64 y z) x))) 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))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y 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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (/ (* (sin y) x) z) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z) y))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) z)) y x) y z)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(approx (+ (/ z x) y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 (neg.f64 z) y) x) #s(literal 1 binary64))))) x)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 z x))) x)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (/.f64 z x))) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 z (*.f64 (neg.f64 y) x)))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) #s(approx (* (+ (* (* -1/2 y) y) 1) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #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))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y) (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) (+.f64 x (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) #s(approx (* (+ (* (cos y) (/ z x)) (sin y)) x) (*.f64 (cos.f64 y) z))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) 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 (cos.f64 y) z)) |
1 calls:
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.7% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#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) (fabs.f64 (*.f64 x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) |
#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))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (/ (* (sin y) x) z) (*.f64 (/.f64 y z) x))) 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))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y 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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (/ (* (sin y) x) z) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z) y))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) z)) y x) y z)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(approx (+ (/ z x) y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 (neg.f64 z) y) x) #s(literal 1 binary64))))) x)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 z x))) x)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (/.f64 z x))) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 z (*.f64 (neg.f64 y) x)))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) #s(approx (* (+ (* (* -1/2 y) y) 1) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #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))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y) (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) (+.f64 x (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) y z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
4 calls:
| 9.0ms | z |
| 9.0ms | x |
| 7.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.3% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 53.3% | 1 | z |
| 53.3% | 1 | x |
| 53.3% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) |
| Outputs |
|---|
#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))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) |
4 calls:
| 33.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.5% | 3 | x |
| 44.5% | 3 | z |
| 37.9% | 1 | y |
| 37.9% | 1 | (+.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) (*.f64 x y))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
4 calls:
| 1.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 19.2% | 1 | y |
| 19.2% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 19.2% | 1 | x |
| 19.2% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 3.1921159703273155e+119 | 1.3776203346234314e+124 |
| 22.0ms | -4.454487703832081e+80 | -1.3547127696279682e+79 |
| 24.0ms | 240× | 0 | valid |
Compiled 372 to 344 computations (7.5% saved)
ival-mult: 6.0ms (33.2% of total)ival-sin: 6.0ms (33.2% of total)ival-cos: 5.0ms (27.7% of total)ival-add: 1.0ms (5.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 2.975828879065242e+119 | 1.2962807809887523e+122 |
| 14.0ms | 2.205290139321469e-20 | 2.5104263531807043e-12 |
| 20.0ms | -2438039065847.5747 | -59770816692.62278 |
| 26.0ms | -2.9628057405518086e+104 | -3.7238156296028835e+93 |
| 60.0ms | 544× | 0 | valid |
Compiled 1 282 to 930 computations (27.5% saved)
ival-sin: 18.0ms (40.5% of total)ival-cos: 17.0ms (38.3% of total)ival-mult: 7.0ms (15.8% of total)ival-add: 2.0ms (4.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 511.14254393838587 | 58058764981.607124 |
| 22.0ms | -59770816692.62278 | -2.345785170491123e-7 |
| 33.0ms | 304× | 0 | valid |
Compiled 1 152 to 831 computations (27.9% saved)
ival-sin: 11.0ms (44.1% of total)ival-cos: 9.0ms (36.1% of total)ival-mult: 4.0ms (16% of total)ival-add: 1.0ms (4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 2.7734616215813933e-207 | 5.337967584112673e-200 |
| 21.0ms | -1.1703160715920288e-56 | -1.0444597156036749e-66 |
| 27.0ms | 304× | 0 | valid |
Compiled 810 to 584 computations (27.9% saved)
ival-sin: 7.0ms (36.4% of total)ival-cos: 6.0ms (31.2% of total)ival-mult: 4.0ms (20.8% of total)ival-add: 1.0ms (5.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 285 |
| 1 | 145 | 285 |
| 2 | 260 | 283 |
| 3 | 586 | 283 |
| 4 | 1132 | 283 |
| 5 | 1826 | 283 |
| 6 | 3364 | 283 |
| 7 | 7408 | 283 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(if (<=.f64 z #s(literal -230000000000000004010413626400139237207951560854403072884269625663618117544181760 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 74999999999999996493448837063252515965692106077949565667154257865061947826666919946301691042325225920341971667220802043904 binary64)) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 y #s(literal -300000000000000014484211794056620768648133791035952974905474021993132769424173480518925525601746944 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal -60000000000 binary64)) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 6189700196426901/2475880078570760549798248448 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) (if (<=.f64 y #s(literal 31000000000000000813544153763014931388496020543611602061701215896929647189443315106235270038132770676159654024441942245376 binary64)) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))))) |
(if (<=.f64 y #s(literal -8106479329266893/9007199254740992 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 520 binary64)) (+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) 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 (cos.f64 y) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(if (<=.f64 z #s(literal -4742843975160471/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) (if (<=.f64 z #s(literal 3033608744706093/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) #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))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(if (<=.f64 z #s(literal -230000000000000004010413626400139237207951560854403072884269625663618117544181760 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 74999999999999996493448837063252515965692106077949565667154257865061947826666919946301691042325225920341971667220802043904 binary64)) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (or (<=.f64 z #s(literal -230000000000000004010413626400139237207951560854403072884269625663618117544181760 binary64)) (not (<=.f64 z #s(literal 74999999999999996493448837063252515965692106077949565667154257865061947826666919946301691042325225920341971667220802043904 binary64)))) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (cos.f64 y) z)) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))) |
(if (<=.f64 y #s(literal -300000000000000014484211794056620768648133791035952974905474021993132769424173480518925525601746944 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal -60000000000 binary64)) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 6189700196426901/2475880078570760549798248448 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) (if (<=.f64 y #s(literal 31000000000000000813544153763014931388496020543611602061701215896929647189443315106235270038132770676159654024441942245376 binary64)) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))))) |
(if (<=.f64 y #s(literal -300000000000000014484211794056620768648133791035952974905474021993132769424173480518925525601746944 binary64)) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal -60000000000 binary64)) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 6189700196426901/2475880078570760549798248448 binary64)) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) (if (<=.f64 y #s(literal 31000000000000000813544153763014931388496020543611602061701215896929647189443315106235270038132770676159654024441942245376 binary64)) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x)) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (cos.f64 y) z)))))) |
(if (<=.f64 y #s(literal -8106479329266893/9007199254740992 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 520 binary64)) (+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) 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 (cos.f64 y) z)))) |
(if (or (<=.f64 y #s(literal -8106479329266893/9007199254740992 binary64)) (not (<=.f64 y #s(literal 520 binary64)))) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (cos.f64 y) z)) (+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) 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))) (fma.f64 y x z)) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (fma.f64 y x z)) |
(if (<=.f64 z #s(literal -4742843975160471/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) (if (<=.f64 z #s(literal 3033608744706093/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)))) |
(if (or (<=.f64 z #s(literal -4742843975160471/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) (not (<=.f64 z #s(literal 3033608744706093/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072 binary64)))) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) #s(approx (+ (* y x) z) (*.f64 x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) #s(approx (+ (* y x) z) (*.f64 x y))) |
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 |
| 0 | 296 | 1066 |
| 1 | 1100 | 1016 |
| 2 | 4243 | 1003 |
| 0 | 8371 | 911 |
| 0 | 234 | 770 |
| 1 | 865 | 758 |
| 2 | 3177 | 724 |
| 3 | 7271 | 720 |
| 0 | 8487 | 655 |
| 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× | node limit |
Compiled 602 to 248 computations (58.8% saved)
Compiled 742 to 206 computations (72.2% saved)
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