
Time bar (total: 6.5s)
| 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)
| 997.0ms | 8 255× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
ival-sin: 242.0ms (39% of total)ival-cos: 224.0ms (36.1% of total)ival-add: 83.0ms (13.4% of total)ival-mult: 64.0ms (10.3% of total)ival-true: 5.0ms (0.8% of total)ival-assert: 3.0ms (0.5% of total)adjust: 0.0ms (0% 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 |
| 62.0ms | 512× | 0 | valid |
Compiled 85 to 36 computations (57.6% saved)
ival-cos: 25.0ms (56.4% of total)ival-sin: 11.0ms (24.8% of total)ival-add: 5.0ms (11.3% of total)ival-mult: 3.0ms (6.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 88 |
| 1 | 105 | 88 |
| 2 | 261 | 86 |
| 3 | 469 | 86 |
| 4 | 833 | 86 |
| 5 | 1670 | 86 |
| 6 | 3774 | 86 |
| 7 | 6715 | 86 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 28 | 9 |
| 2 | 54 | 9 |
| 3 | 100 | 9 |
| 4 | 186 | 9 |
| 5 | 427 | 9 |
| 6 | 1082 | 9 |
| 7 | 2446 | 9 |
| 8 | 4931 | 9 |
| 0 | 8016 | 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 |
|---|---|---|
| ▶ | 99.9% | (+.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 | 28 | 24 |
| 2 | 54 | 24 |
| 3 | 100 | 24 |
| 4 | 186 | 24 |
| 5 | 427 | 24 |
| 6 | 1082 | 24 |
| 7 | 2446 | 24 |
| 8 | 4931 | 24 |
| 0 | 8016 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 x (sin.f64 y)) |
(+.f64 (sin.f64 y) x) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
z |
(cos.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.00390625 | (+.f64 x (sin.f64 y)) | |
| accuracy | 0.14453125 | (*.f64 z (cos.f64 y)) |
| 50.0ms | 256× | 0 | valid |
Compiled 50 to 18 computations (64% saved)
ival-sin: 6.0ms (39.5% of total)ival-cos: 5.0ms (32.9% of total)ival-add: 2.0ms (13.2% of total)ival-mult: 2.0ms (13.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 x (sin.f64 y)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
| Outputs |
|---|
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(sin y) |
(+ x (sin y)) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (/ (sin y) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* z (cos y)) |
(cos y) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | ((+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | y | @ | 0 | ((+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | x | @ | 0 | ((+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | z | @ | -inf | ((+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | z | @ | inf | ((+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 304 |
| 1 | 367 | 300 |
| 2 | 1277 | 290 |
| 3 | 4826 | 290 |
| 0 | 8072 | 263 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(sin y) |
(+ x (sin y)) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (/ (sin y) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* z (cos y)) |
(cos y) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
| Outputs |
|---|
(+ (sin y) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(sin y) |
(sin.f64 y) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (neg.f64 x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (sin.f64 y) (neg.f64 x)) #s(literal 1 binary64))) |
(+ x z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) |
(+ x y) |
(+.f64 y x) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) (+.f64 y x)) |
(+ x (* 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)) (+.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 |
(+ z (* -1/2 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 (*.f64 y y) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) z) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(cos y) |
(cos.f64 y) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 53 | 21 |
| 2 | 422 | 21 |
| 3 | 6127 | 21 |
| 0 | 8268 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 x (sin.f64 y)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #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 (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 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) 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 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) 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 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) 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 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z)) (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) 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 (/.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 (fma.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) 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 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) 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 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))))) (+.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 y) z x) (fma.f64 (cos.f64 y) z x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (fma.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) 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 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) 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 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) 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 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) 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 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) 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 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)) |
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))) (neg.f64 (cos.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))))) |
(fma.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (*.f64 (cos.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 #s(literal 0 binary64) (sin.f64 y) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 (sin.f64 y) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) |
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 y) |
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y))))) (*.f64 (cos.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
Compiled 7 717 to 782 computations (89.9% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 215 | 11 | 226 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 216 | 11 | 227 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| 32.6% | (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (*.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 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))) | |
| 99.9% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))))))) | |
| 82.1% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| ▶ | 71.5% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
| 54.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) | |
| ▶ | 57.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))) |
| ▶ | 60.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
| 61.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) | |
| ▶ | 66.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 89.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z)) |
Compiled 456 to 294 computations (35.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) | |
| cost-diff | 0 | (*.f64 z (cos.f64 y)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | #s(approx (+ x (sin y)) (+.f64 y x)) | |
| cost-diff | 1 | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))) | |
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (+.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 147 |
| 0 | 41 | 144 |
| 1 | 76 | 144 |
| 2 | 138 | 144 |
| 3 | 335 | 144 |
| 4 | 758 | 144 |
| 5 | 1568 | 144 |
| 6 | 2544 | 144 |
| 7 | 4442 | 144 |
| 8 | 6900 | 144 |
| 0 | 8044 | 143 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(cos.f64 y) |
y |
z |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
(+.f64 z x) |
z |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 z y) |
z |
y |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(+.f64 z x) |
x |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
#s(approx (+ x (sin y)) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(cos.f64 y) |
y |
z |
(sin.f64 y) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(cos.f64 y) |
y |
z |
(+.f64 (sin.f64 y) x) |
(+.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
(+.f64 z x) |
(+.f64 x z) |
z |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) y (+.f64 x z))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) y (+.f64 x z)) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) |
(*.f64 z y) |
z |
y |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(+.f64 z x) |
(+.f64 x z) |
x |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
(fma.f64 z (cos.f64 y) #s(approx (+ x (sin y)) (+.f64 x y))) |
#s(approx (+ x (sin y)) (+.f64 y x)) |
#s(approx (+ x (sin y)) (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(cos.f64 y) |
y |
z |
(sin.f64 y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.0625 | (fma.f64 (cos.f64 y) z (sin.f64 y)) | |
| accuracy | 25.31702451124146 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) | |
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.14453125 | (*.f64 z (cos.f64 y)) | |
| accuracy | 23.265156823167572 | #s(approx (+ x (sin y)) (+.f64 y x)) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.02734375 | (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)) | |
| accuracy | 27.0460382935647 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))) | |
| accuracy | 0.0 | (+.f64 z x) | |
| accuracy | 21.719531506213496 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (+.f64 (sin.f64 y) x) | |
| accuracy | 0.046875 | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| 77.0ms | 255× | 0 | valid |
| 3.0ms | 1× | 3 | valid |
Compiled 270 to 49 computations (81.9% saved)
ival-cos: 40.0ms (61.5% of total)ival-add: 9.0ms (13.8% of total)ival-mult: 7.0ms (10.8% of total)ival-sin: 7.0ms (10.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(cos.f64 y) |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
(+.f64 z x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 z y) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
#s(approx (+ x (sin y)) (+.f64 y x)) |
(+.f64 y x) |
(*.f64 z (cos.f64 y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
| Outputs |
|---|
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(sin y) |
(+ x (sin y)) |
z |
(+ x z) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
y |
(+ x y) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ 1 (* -1/2 (* y z))) |
(* y 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)))))) |
(+ y z) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(cos y) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2)))))) |
(* -1/2 (* y z)) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(* y (+ 1 (/ x y))) |
(* z (cos y)) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z))) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | y | @ | -inf | ((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (+ (* (* z y) -1/2) 1) (* z y) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y))) |
| 2.0ms | z | @ | 0 | ((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (+ (* (* z y) -1/2) 1) (* z y) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y))) |
| 2.0ms | z | @ | -inf | ((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (+ (* (* z y) -1/2) 1) (* z y) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y))) |
| 2.0ms | z | @ | inf | ((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (+ (* (* z y) -1/2) 1) (* z y) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y))) |
| 1.0ms | y | @ | inf | ((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (+ (* (* z y) -1/2) 1) (* z y) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 198 | 604 |
| 1 | 650 | 598 |
| 2 | 2165 | 581 |
| 3 | 7052 | 581 |
| 0 | 8417 | 529 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(sin y) |
(+ x (sin y)) |
z |
(+ x z) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
y |
(+ x y) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ 1 (* -1/2 (* y z))) |
(* y 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)))))) |
(+ y z) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(cos y) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2)))))) |
(* -1/2 (* y z)) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(* y (+ 1 (/ x y))) |
(* z (cos y)) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z))) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
| Outputs |
|---|
(+ (sin y) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(sin y) |
(sin.f64 y) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
z |
(+ x z) |
(+.f64 x z) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 x z)) |
y |
(+ x y) |
(+.f64 x y) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (/.f64 x x) x) |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 (/.f64 x x) (sin.f64 y) x) |
(* x (+ 1 (/ z x))) |
(fma.f64 (/.f64 z x) x x) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (neg.f64 x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (sin.f64 y) (neg.f64 x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) (neg.f64 x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) (+.f64 x y)) |
(+ x (* 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)) (+.f64 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) |
(+ 1 (* -1/2 (* y z))) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(+ z (* -1/2 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) (*.f64 y y) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) |
(+ y z) |
(+.f64 z y) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z) |
(cos y) |
(cos.f64 y) |
(* -1/2 (* (pow y 2) z)) |
(*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (+.f64 (/.f64 (+.f64 x z) y) #s(literal 1 binary64))) y) |
(* -1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal -1/2 binary64)) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (-.f64 (/.f64 (-.f64 (neg.f64 z) x) y) #s(literal 1 binary64)) (neg.f64 y))) y) y) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 x z)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(* z (+ 1 (/ x z))) |
(+.f64 x z) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (/.f64 y z))) z x) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(* z (+ (cos y) (/ (sin y) z))) |
(fma.f64 (cos.f64 y) 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 z)) 1))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (neg.f64 x) z) #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 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (-.f64 (neg.f64 y) x) z) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(*.f64 (neg.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 123 |
| 0 | 41 | 120 |
| 1 | 197 | 120 |
| 2 | 1465 | 120 |
| 0 | 8847 | 119 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(cos.f64 y) |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
(+.f64 z x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 z y) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
#s(approx (+ x (sin y)) (+.f64 y x)) |
(+.f64 y x) |
(*.f64 z (cos.f64 y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y))) (fma.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y))) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y))) (*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y))) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) x) (sin.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 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 y)) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (cos.f64 y)) z) (*.f64 (neg.f64 (cos.f64 y)) z) (*.f64 (+.f64 x (sin.f64 y)) (*.f64 (neg.f64 (cos.f64 y)) z))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (fma.f64 z (cos.f64 y) x) (fma.f64 z (cos.f64 y) x) (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 z (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (+.f64 x (*.f64 z (cos.f64 y))) (+.f64 x (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (+.f64 x (*.f64 z (cos.f64 y))) (sin.f64 y))))) |
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(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+.f64 (sin.f64 y) (-.f64 x (*.f64 (neg.f64 z) (cos.f64 y)))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
(+.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y)))) |
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(fma.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 (sin.f64 y) #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 y)))) |
(cos.f64 (neg.f64 (neg.f64 y))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 y) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
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(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (*.f64 (-.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (pow.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (sin.f64 y) x))) |
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(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (-.f64 x (sin.f64 y))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (sin.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (sin.f64 y) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 x (sin.f64 y)))) |
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(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (sin.f64 y) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (sin.f64 y) x))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)) (-.f64 x (sin.f64 y)))) |
(+.f64 x (sin.f64 y)) |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z z) (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 z x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 z z) (-.f64 z x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)) (*.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 z z))) (neg.f64 (-.f64 x z))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x z) (-.f64 z x)))) (neg.f64 (neg.f64 (-.f64 z x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x z) (*.f64 z z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (pow.f64 (-.f64 z x) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 x z)) |
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(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x z)))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x z)) (/.f64 (*.f64 z z) (-.f64 x z))) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x z)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x z))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x z))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(+.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 z x))) |
(+.f64 x z) |
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(+.f64 (/.f64 (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 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (+.f64 x y)))))) (/.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (+.f64 x y))))))) |
(+.f64 (/.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (+.f64 x y)))))) (/.f64 (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 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (+.f64 x y))))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (+.f64 x y))) (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (+.f64 x y))) (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (+.f64 x y))) (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (+.f64 x y))) (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ x (sin y)) (+.f64 x y)) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 #s(approx (+ x (sin y)) (+.f64 x y)) (*.f64 z (cos.f64 y))))) |
(+.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (+.f64 x y))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 x y)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 x y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ x (sin y)) (+.f64 x y)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (neg.f64 (-.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (*.f64 (-.f64 y x) (-.f64 y x))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y)) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 y x))) |
(+.f64 x y) |
(+.f64 y x) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 y)) z) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (sin.f64 y) (fma.f64 (*.f64 (neg.f64 (cos.f64 y)) z) (*.f64 (neg.f64 (cos.f64 y)) z) (*.f64 (sin.f64 y) (*.f64 (neg.f64 (cos.f64 y)) z))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (sin.f64 y) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (*.f64 (neg.f64 z) (cos.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (sin.f64 y) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(-.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) |
(-.f64 (sin.f64 y) (*.f64 (neg.f64 (cos.f64 y)) z)) |
(-.f64 (sin.f64 y) (*.f64 (neg.f64 z) (cos.f64 y))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (sin.f64 y) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (sin.f64 y) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (sin.f64 y) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (sin.f64 y) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) |
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) |
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) |
Compiled 19 505 to 1 808 computations (90.7% saved)
21 alts after pruning (17 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 460 | 14 | 474 |
| Fresh | 3 | 3 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 464 | 21 | 485 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| 71.5% | (fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (+.f64 x y))) | |
| ▶ | 82.1% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
| 32.6% | (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (*.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 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))) | |
| 71.5% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (sin.f64 y) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64)))))))) | |
| ✓ | 71.5% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
| 54.7% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) (*.f64 y y) z))) | |
| ✓ | 60.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
| 55.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) | |
| 43.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (sin.f64 y))) | |
| 34.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) | |
| 61.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) | |
| ✓ | 66.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| ▶ | 89.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z)) |
| ▶ | 5.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))) |
| 25.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) | |
| 2.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) | |
| ▶ | 28.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z))) |
| ▶ | 29.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
| 61.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) | |
| 61.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) #s(literal 1 binary64))))) |
Compiled 912 to 599 computations (34.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (+.f64 (sin.f64 y) x) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z) | |
| cost-diff | 0 | #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z))) | |
| cost-diff | 0 | (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | (+.f64 z y) | |
| cost-diff | 0 | #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) | |
| cost-diff | 0 | (/.f64 (+.f64 (sin.f64 y) x) z) | |
| cost-diff | 0 | (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z)) | |
| cost-diff | 3 | (*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 277 |
| 0 | 64 | 277 |
| 1 | 116 | 277 |
| 2 | 231 | 277 |
| 3 | 593 | 277 |
| 4 | 1444 | 277 |
| 5 | 3334 | 273 |
| 6 | 5070 | 273 |
| 0 | 8059 | 261 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z)) |
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z) |
(+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) |
(/.f64 (+.f64 (sin.f64 y) x) z) |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
z |
(cos.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)) |
(+.f64 z y) |
z |
y |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 z y) |
z |
y |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z))) |
#s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) |
#s(literal -1/6 binary64) |
y |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
#s(literal 1 binary64) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) |
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) |
(/.f64 (+.f64 (sin.f64 y) x) z) |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
z |
(cos.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)) |
(+.f64 z y) |
z |
y |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 z y) |
z |
y |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z))) |
#s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) |
#s(literal -1/6 binary64) |
y |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
#s(literal 1 binary64) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.00390625 | (+.f64 (sin.f64 y) x) | |
| accuracy | 0.046875 | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) | |
| accuracy | 29.010873478305157 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.046875 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z) | |
| accuracy | 0.12890625 | (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) | |
| accuracy | 25.31702451124146 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z))) | |
| accuracy | 31.574819886694247 | #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z)) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.078125 | (*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y) | |
| accuracy | 27.0460382935647 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))) | |
| accuracy | 33.782742364353254 | #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y)) | |
| accuracy | 0.0 | (+.f64 z y) | |
| accuracy | 25.31702451124146 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) | |
| accuracy | 30.829147514367047 | #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)) | |
| accuracy | 0.00390625 | (+.f64 (sin.f64 y) x) | |
| accuracy | 0.0078125 | (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) | |
| accuracy | 0.0703125 | (/.f64 (+.f64 (sin.f64 y) x) z) | |
| accuracy | 6.696610484506481 | (*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z) |
| 86.0ms | 255× | 0 | valid |
| 5.0ms | 1× | 3 | valid |
Compiled 471 to 78 computations (83.4% saved)
ival-sin: 22.0ms (31.1% of total)ival-add: 21.0ms (29.6% of total)ival-mult: 17.0ms (24% of total)ival-cos: 5.0ms (7.1% of total)const: 4.0ms (5.6% of total)ival-div: 2.0ms (2.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z)) |
(+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) |
(/.f64 (+.f64 (sin.f64 y) x) z) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)) |
(+.f64 z y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z))) |
#s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
#s(approx (cos y) #s(literal 1 binary64)) |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) |
| Outputs |
|---|
(* z (+ (cos y) (/ (sin y) z))) |
(+ x (* z (+ (cos y) (/ (sin y) z)))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ (cos y) (/ (sin y) z)) |
(+ (cos y) (+ (/ x z) (/ (sin y) z))) |
(/ (sin y) z) |
(+ (/ x z) (/ (sin y) z)) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(sin y) |
(+ x (sin y)) |
x |
(* x (+ 1 (/ (* z (+ (cos y) (/ (sin y) z))) x))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(/ x z) |
(* x (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z))))) |
(* x (+ (/ 1 z) (/ (sin y) (* x z)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(* x (+ 1 (/ (sin y) x))) |
(* -1 (* x (- (* -1 (/ (* z (+ (cos y) (/ (sin y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (/ (sin y) z)) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (sin y) (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* z (+ 1 (/ x z))) |
(+ y (* z (+ 1 (/ x z)))) |
(+ (* y (+ 1 (* -1/2 (* y z)))) (* z (+ 1 (/ x z)))) |
(+ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) (* z (+ 1 (/ x z)))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ 1 (/ x z)) |
(+ 1 (+ (/ x z) (/ y z))) |
(+ 1 (+ (* y (+ (* -1/2 y) (/ 1 z))) (/ x z))) |
(+ 1 (+ (* y (+ (* y (- (* -1/6 (/ y z)) 1/2)) (/ 1 z))) (/ x z))) |
(+ (/ x z) (/ y z)) |
(+ (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) (/ x z)) |
(+ (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) (/ x z)) |
z |
(+ y z) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
y |
(* y (+ 1 (* -1/2 (* y z)))) |
1 |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(/ (+ x (sin y)) z) |
(* y (+ 1 (/ z y))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2)))))) |
(* -1/2 (* y z)) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(cos y) |
(* -1/6 y) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z))) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ z y)) 1) y)) (* -1/2 z)) y))))) |
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6)) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(/ (+ x (+ (sin y) (* z (cos y)))) z) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ y (* -1/2 (* (pow y 2) z))) |
(+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(* z (cos y)) |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(* z (+ (* -1/2 (pow y 2)) (/ y z))) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (+ (* -1 (/ y z)) (* 1/2 (pow y 2))))) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | ((* (+ (/ (+ (sin y) x) z) (cos y)) z) (+ (+ x (sin y)) (* z (cos y))) (+ (/ (+ (sin y) x) z) (cos y)) (/ (+ (sin y) x) z) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y)) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (* (+ (* (* z y) -1/2) 1) y) (+ (* (* z y) -1/2) 1) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y)) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) z) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (* -1/6 y) (* -1/2 z))) |
| 4.0ms | z | @ | 0 | ((* (+ (/ (+ (sin y) x) z) (cos y)) z) (+ (+ x (sin y)) (* z (cos y))) (+ (/ (+ (sin y) x) z) (cos y)) (/ (+ (sin y) x) z) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y)) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (* (+ (* (* z y) -1/2) 1) y) (+ (* (* z y) -1/2) 1) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y)) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) z) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (* -1/6 y) (* -1/2 z))) |
| 3.0ms | y | @ | inf | ((* (+ (/ (+ (sin y) x) z) (cos y)) z) (+ (+ x (sin y)) (* z (cos y))) (+ (/ (+ (sin y) x) z) (cos y)) (/ (+ (sin y) x) z) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y)) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (* (+ (* (* z y) -1/2) 1) y) (+ (* (* z y) -1/2) 1) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y)) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) z) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (* -1/6 y) (* -1/2 z))) |
| 3.0ms | z | @ | -inf | ((* (+ (/ (+ (sin y) x) z) (cos y)) z) (+ (+ x (sin y)) (* z (cos y))) (+ (/ (+ (sin y) x) z) (cos y)) (/ (+ (sin y) x) z) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y)) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (* (+ (* (* z y) -1/2) 1) y) (+ (* (* z y) -1/2) 1) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y)) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) z) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (* -1/6 y) (* -1/2 z))) |
| 2.0ms | z | @ | inf | ((* (+ (/ (+ (sin y) x) z) (cos y)) z) (+ (+ x (sin y)) (* z (cos y))) (+ (/ (+ (sin y) x) z) (cos y)) (/ (+ (sin y) x) z) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y)) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (* (+ (* (* z y) -1/2) 1) y) (+ (* (* z y) -1/2) 1) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y)) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) z) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (* -1/6 y) (* -1/2 z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 298 | 1194 |
| 1 | 985 | 1156 |
| 2 | 3616 | 1139 |
| 0 | 8253 | 1048 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (+ (cos y) (/ (sin y) z))) |
(+ x (* z (+ (cos y) (/ (sin y) z)))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ (cos y) (/ (sin y) z)) |
(+ (cos y) (+ (/ x z) (/ (sin y) z))) |
(/ (sin y) z) |
(+ (/ x z) (/ (sin y) z)) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(sin y) |
(+ x (sin y)) |
x |
(* x (+ 1 (/ (* z (+ (cos y) (/ (sin y) z))) x))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(/ x z) |
(* x (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z))))) |
(* x (+ (/ 1 z) (/ (sin y) (* x z)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(* x (+ 1 (/ (sin y) x))) |
(* -1 (* x (- (* -1 (/ (* z (+ (cos y) (/ (sin y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (/ (sin y) z)) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (sin y) (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* z (+ 1 (/ x z))) |
(+ y (* z (+ 1 (/ x z)))) |
(+ (* y (+ 1 (* -1/2 (* y z)))) (* z (+ 1 (/ x z)))) |
(+ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) (* z (+ 1 (/ x z)))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ 1 (/ x z)) |
(+ 1 (+ (/ x z) (/ y z))) |
(+ 1 (+ (* y (+ (* -1/2 y) (/ 1 z))) (/ x z))) |
(+ 1 (+ (* y (+ (* y (- (* -1/6 (/ y z)) 1/2)) (/ 1 z))) (/ x z))) |
(+ (/ x z) (/ y z)) |
(+ (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) (/ x z)) |
(+ (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) (/ x z)) |
z |
(+ y z) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
y |
(* y (+ 1 (* -1/2 (* y z)))) |
1 |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(/ (+ x (sin y)) z) |
(* y (+ 1 (/ z y))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2)))))) |
(* -1/2 (* y z)) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(cos y) |
(* -1/6 y) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z))) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ z y)) 1) y)) (* -1/2 z)) y))))) |
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6)) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(/ (+ x (+ (sin y) (* z (cos y)))) z) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ y (* -1/2 (* (pow y 2) z))) |
(+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(* z (cos y)) |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(* z (+ (* -1/2 (pow y 2)) (/ y z))) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (+ (* -1 (/ y z)) (* 1/2 (pow y 2))))) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
| Outputs |
|---|
(* z (+ (cos y) (/ (sin y) z))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(+ x (* z (+ (cos y) (/ (sin y) z)))) |
(fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) z x) |
(+ (sin y) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ (cos y) (/ (sin y) z)) |
(+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(+ (cos y) (+ (/ x z) (/ (sin y) z))) |
(+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(+ (/ x z) (/ (sin y) z)) |
(/.f64 (+.f64 (sin.f64 y) x) z) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) x) |
(sin y) |
(sin.f64 y) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
x |
(* x (+ 1 (/ (* z (+ (cos y) (/ (sin y) z))) x))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
(/ x z) |
(/.f64 x z) |
(* x (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z))))) |
(fma.f64 (/.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) x) x (/.f64 x z)) |
(* x (+ (/ 1 z) (/ (sin y) (* x z)))) |
(/.f64 (fma.f64 (/.f64 (sin.f64 y) x) x x) z) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) x) x x) |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(* -1 (* x (- (* -1 (/ (* z (+ (cos y) (/ (sin y) z))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 (neg.f64 z) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (neg.f64 x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (/ (sin y) z)) x)) (/ 1 z)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) z))) |
(* -1 (* x (- (* -1 (/ (sin y) (* x z))) (/ 1 z)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) (/.f64 #s(literal 1 binary64) z))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) (neg.f64 x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (sin.f64 y) (neg.f64 x)) #s(literal 1 binary64))) |
(* z (+ 1 (/ x z))) |
(fma.f64 (/.f64 x z) z z) |
(+ y (* z (+ 1 (/ x z)))) |
(fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z y) |
(+ (* y (+ 1 (* -1/2 (* y z)))) (* z (+ 1 (/ x z)))) |
(+.f64 z (fma.f64 z (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (/.f64 x z)) y)) |
(+ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) (* z (+ 1 (/ x z)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (fma.f64 (/.f64 x z) z z)) |
(+ x z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) |
(+ 1 (/ x z)) |
(+.f64 (/.f64 x z) #s(literal 1 binary64)) |
(+ 1 (+ (/ x z) (/ y z))) |
(+.f64 (/.f64 (+.f64 x y) z) #s(literal 1 binary64)) |
(+ 1 (+ (* y (+ (* -1/2 y) (/ 1 z))) (/ x z))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 (/.f64 (+.f64 x y) z) #s(literal 1 binary64))) |
(+ 1 (+ (* y (+ (* y (- (* -1/6 (/ y z)) 1/2)) (/ 1 z))) (/ x z))) |
(fma.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) y) z) #s(literal 1/2 binary64)) (+.f64 (/.f64 (+.f64 x y) z) #s(literal 1 binary64))) |
(+ (/ x z) (/ y z)) |
(/.f64 (+.f64 x y) z) |
(+ (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) (/ x z)) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) (+.f64 x y)) z) |
(+ (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) (/ x z)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) z) (/.f64 (+.f64 x y) z)) |
z |
(+ y z) |
(+.f64 z y) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z) |
y |
(* y (+ 1 (* -1/2 (* y z)))) |
(*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (* y z))) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #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 y) |
(+.f64 x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) (+.f64 x y)) |
(+ 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) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) y) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(+ (* -1/2 z) (* -1/6 y)) |
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z) |
(/ (+ x (sin y)) z) |
(/.f64 (+.f64 (sin.f64 y) x) z) |
(* y (+ 1 (/ z y))) |
(fma.f64 (/.f64 z #s(literal 1 binary64)) #s(literal 1 binary64) y) |
(* -1/2 (* (pow y 2) z)) |
(*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2)))))) |
(*.f64 y (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (/.f64 (+.f64 z x) y) y)) y #s(literal 1 binary64))) |
(* -1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal -1/2 binary64)) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(* -1/6 (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6)) |
(*.f64 (-.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) 1/6)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) y)) y) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6)) |
(*.f64 (*.f64 (-.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) y) y) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/6 binary64)) (*.f64 y y)) |
(cos y) |
(cos.f64 y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(*.f64 (-.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) y) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (-.f64 (/.f64 (+.f64 z x) (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y))) y) y) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y))))) |
(*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 #s(literal 1 binary64) y)) y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ z y)) 1) y)) (* -1/2 z)) y))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)) (neg.f64 y))) y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6)) |
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) #s(literal 1/6 binary64)) (*.f64 y y)) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) y) |
(/ (+ x (+ (sin y) (* z (cos y)))) z) |
(/.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) z) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) x) |
(+ y (* -1/2 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y) |
(+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ 1 (/ y z))) |
(fma.f64 (/.f64 y z) z z) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (/.f64 (+.f64 x y) z)) z z) |
(* z (+ (* -1/2 (pow y 2)) (/ y z))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal 1 binary64) z)) y) z) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)) z z) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) y)) z #s(literal 1 binary64)) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) y) z) #s(literal 1/2 binary64)) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(*.f64 (neg.f64 z) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (+.f64 x y) (neg.f64 z)) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(* -1 (* z (+ (* -1 (/ y z)) (* 1/2 (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal 1 binary64) z)) y) z) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(*.f64 (neg.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) z))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (pow y 2))) 1))) |
(*.f64 (neg.f64 z) (-.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) y (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z))) #s(literal 1 binary64))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) y)) z #s(literal 1 binary64)) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(*.f64 (fma.f64 (/.f64 y z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 245 |
| 0 | 64 | 245 |
| 1 | 271 | 245 |
| 2 | 2139 | 245 |
| 0 | 8378 | 235 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z)) |
(+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) |
(/.f64 (+.f64 (sin.f64 y) x) z) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)) |
(+.f64 z y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z))) |
#s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
#s(approx (cos y) #s(literal 1 binary64)) |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) |
| Outputs |
|---|
(*.f64 (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)) z) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z)) (neg.f64 (-.f64 (/.f64 (+.f64 x (sin.f64 y)) z) (cos.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (-.f64 (/.f64 (+.f64 x (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 (+.f64 x (sin.f64 y)) z) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (/.f64 (+.f64 x (sin.f64 y)) z) (cos.f64 y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (/.f64 (+.f64 x (sin.f64 y)) z) (cos.f64 y))) |
(/.f64 (*.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64)))) |
(fma.f64 (cos.f64 y) z (*.f64 (/.f64 (+.f64 x (sin.f64 y)) z) z)) |
(fma.f64 (cos.f64 y) z (*.f64 z (/.f64 (+.f64 x (sin.f64 y)) z))) |
(fma.f64 (/.f64 (+.f64 x (sin.f64 y)) z) z (*.f64 (cos.f64 y) z)) |
(fma.f64 z (cos.f64 y) (*.f64 (/.f64 (+.f64 x (sin.f64 y)) z) z)) |
(fma.f64 z (cos.f64 y) (*.f64 z (/.f64 (+.f64 x (sin.f64 y)) z))) |
(fma.f64 z (/.f64 (+.f64 x (sin.f64 y)) z) (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (/.f64 (+.f64 x (sin.f64 y)) z) z) (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 z (/.f64 (+.f64 x (sin.f64 y)) z)) (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (/.f64 (+.f64 x (sin.f64 y)) z) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 z (/.f64 (+.f64 x (sin.f64 y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)) z)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (/.f64 (+.f64 x (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 (+.f64 x (sin.f64 y)) z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (-.f64 (/.f64 (+.f64 x (sin.f64 y)) z) (cos.f64 y))) (*.f64 (-.f64 (/.f64 (+.f64 x (sin.f64 y)) z) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 (+.f64 x (sin.f64 y)) z) (cos.f64 y)) (-.f64 (/.f64 (+.f64 x (sin.f64 y)) z) (cos.f64 y)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64))) (*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (+.f64 x (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 (+.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64))) (-.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 (+.f64 x (sin.f64 y)) z) (cos.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (/.f64 (+.f64 x (sin.f64 y)) z) (cos.f64 y))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z))))) |
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(-.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 #s(literal 1/6 binary64) y)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 (neg.f64 y) #s(literal -1/6 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 #s(literal -1/6 binary64) y))))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 #s(literal -1/6 binary64) y)))))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 #s(literal -1/2 binary64) z)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 #s(literal -1/6 binary64) y)) |
Compiled 14 379 to 1 819 computations (87.3% saved)
28 alts after pruning (21 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 375 | 14 | 389 |
| Fresh | 5 | 7 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 382 | 28 | 410 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| 71.5% | (fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (+.f64 x y))) | |
| ✓ | 82.1% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
| ▶ | 43.3% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) |
| 32.6% | (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (*.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 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))) | |
| ✓ | 71.5% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
| 54.7% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) (*.f64 y y) z))) | |
| ✓ | 60.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
| 65.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (/.f64 (+.f64 x (sin.f64 y)) z) (cos.f64 y)))) | |
| 57.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64))))) | |
| 61.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) | |
| ✓ | 66.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| ✓ | 89.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z)) |
| 31.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (/ (+ (sin y) x) z) (cos y)) (/.f64 x z)) z)) | |
| ▶ | 25.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
| 2.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) | |
| 2.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y))) | |
| ▶ | 5.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y))) |
| 28.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z))) | |
| 13.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/6 binary64)) (*.f64 y y))) y z))) | |
| 25.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y z))) | |
| 9.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z y)) (*.f64 (-.f64 z y) (*.f64 y y))) (*.f64 (-.f64 z y) (-.f64 z y))))) | |
| ▶ | 16.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)))) |
| ✓ | 29.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
| 18.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ z y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)))))) | |
| 61.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) | |
| ▶ | 89.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))) |
| 44.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (cos.f64 y) z))) |
Compiled 1 402 to 876 computations (37.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | #s(approx (+ (sin y) x) (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) | |
| cost-diff | 0 | (*.f64 (+.f64 z y) (-.f64 z y)) | |
| cost-diff | 0 | #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y))) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)))) | |
| cost-diff | 8 | (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) | |
| cost-diff | 0 | #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | (fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))) | |
| cost-diff | 6 | (*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 370 |
| 0 | 71 | 362 |
| 1 | 127 | 350 |
| 2 | 296 | 342 |
| 3 | 868 | 342 |
| 4 | 2576 | 323 |
| 0 | 8369 | 304 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))) |
#s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
(fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) |
(+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(cos.f64 y) |
(/.f64 z x) |
x |
#s(literal 1 binary64) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y) |
#s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
z |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)))) |
#s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y))) |
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)) |
(*.f64 (+.f64 z y) (-.f64 z y)) |
(+.f64 z y) |
z |
y |
(-.f64 z y) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
#s(approx (+ (sin y) x) (sin.f64 y)) |
(sin.f64 y) |
y |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) |
#s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 z x) (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(cos.f64 y) |
(/.f64 z x) |
x |
#s(literal 1 binary64) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y) |
#s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
z |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y))) |
#s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)) |
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)) |
(+.f64 z y) |
(*.f64 (+.f64 z y) (-.f64 z y)) |
(*.f64 (-.f64 z y) (+.f64 z y)) |
(+.f64 z y) |
z |
y |
(-.f64 z y) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
#s(approx (+ (sin y) x) (sin.f64 y)) |
(sin.f64 y) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.046875 | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) | |
| accuracy | 29.010873478305157 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 39.89501964690212 | #s(approx (+ (sin y) x) (sin.f64 y)) | |
| accuracy | 0.0 | (*.f64 (+.f64 z y) (-.f64 z y)) | |
| accuracy | 25.31702451124146 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)))) | |
| accuracy | 28.092053076123307 | (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)) | |
| accuracy | 30.829147514367047 | #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y))) | |
| accuracy | 0.02394251178494128 | (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) | |
| accuracy | 3.817955911892346 | (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) | |
| accuracy | 27.040498114255442 | #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) | |
| accuracy | 27.0460382935647 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) | |
| accuracy | 0.078125 | (*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y) | |
| accuracy | 27.0460382935647 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y))) | |
| accuracy | 32.12570584020785 | #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) | |
| accuracy | 33.782742364353254 | #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y)) | |
| accuracy | 0.0078125 | (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) | |
| accuracy | 0.10775375976844202 | (fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) | |
| accuracy | 0.1640625 | (/.f64 (sin.f64 y) z) | |
| accuracy | 6.853821921487769 | (*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
| 86.0ms | 254× | 0 | valid |
| 3.0ms | 1× | 3 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 589 to 90 computations (84.7% saved)
ival-mult: 30.0ms (44.5% of total)ival-add: 15.0ms (22.2% of total)ival-sin: 9.0ms (13.3% of total)ival-div: 6.0ms (8.9% of total)ival-cos: 5.0ms (7.4% of total)ival-sub: 1.0ms (1.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))) |
#s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)) |
(fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y) |
#s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)))) |
#s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y))) |
(*.f64 (+.f64 z y) (-.f64 z y)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(approx (+ (sin y) x) (sin.f64 y)) |
(sin.f64 y) |
(/.f64 (sin.f64 y) z) |
(+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) |
| Outputs |
|---|
(* z (+ (cos y) (/ (sin y) z))) |
(+ x (* z (+ (cos y) (/ (sin y) z)))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ (* z (+ (cos y) (/ (sin y) z))) x) |
(/ (+ x (* z (+ (cos y) (/ (sin y) z)))) x) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(sin y) |
(+ x (sin y)) |
x |
(* x (+ 1 (/ (* z (+ (cos y) (/ (sin y) z))) x))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
1 |
(+ 1 (/ (* z (+ (cos y) (/ (sin y) z))) x)) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(* x (+ 1 (/ (sin y) x))) |
(* -1 (* x (- (* -1 (/ (* z (+ (cos y) (/ (sin y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* x (+ 1 (/ z x))) |
(+ y (* x (+ 1 (/ z x)))) |
(+ (* x (+ 1 (/ z x))) (* y (+ 1 (* -1/2 (* y z))))) |
(+ (* x (+ 1 (/ z x))) (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(* z (+ 1 (/ x z))) |
(+ y (* z (+ 1 (/ x z)))) |
(+ (* y (+ 1 (* -1/2 (* y z)))) (* z (+ 1 (/ x z)))) |
(+ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) (* z (+ 1 (/ x z)))) |
(+ 1 (/ z x)) |
(+ 1 (+ (/ y x) (/ z x))) |
(+ 1 (+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))) |
(+ 1 (+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x))) |
y |
(* y (+ 1 (* -1/2 (* y z)))) |
(+ 1 (* -1/2 (* y z))) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ 1 (* -1/2 (pow y 2))) |
(+ y z) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(pow z 2) |
(+ (* y (+ z (* -1 z))) (pow z 2)) |
(+ (* y (+ z (+ (* -1 y) (* -1 z)))) (pow z 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 y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(* 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)))) |
(/ y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(+ 1 (/ y z)) |
(+ 1 (* y (+ (* -1/2 y) (/ 1 z)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ y z)) 1/2)) (/ 1 z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2)))))) |
(* -1/2 (* y z)) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2)))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2)) |
(* y (+ 1 (/ z y))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (/ z y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ z y) (/ (pow z 2) (pow y 2)))) 1)) |
(cos y) |
(/ (sin y) z) |
(+ (cos y) (/ (sin y) z)) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z))) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 z)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) y)))) y)) 1)) |
(+ (* x (+ 1 (/ (sin y) x))) (* z (cos y))) |
(+ 1 (/ (sin y) x)) |
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ y (* -1/2 (* (pow y 2) z))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(+ (* -1 (pow y 2)) (* z (+ y (* -1 y)))) |
(+ (* -1 (pow y 2)) (* z (+ y (+ z (* -1 y))))) |
(/ (+ (sin y) (* z (cos y))) z) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (+ 1 (/ (sin y) x))) z))) |
(/ (* z (cos y)) x) |
(* z (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(* z (+ (* -1/2 (pow y 2)) (/ y z))) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(* z (+ 1 (/ y z))) |
(* (pow z 2) (+ 1 (+ (* -1 (/ y z)) (/ y z)))) |
(* (pow z 2) (+ 1 (+ (* -1 (/ y z)) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (+ 1 (/ (sin y) x))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (+ 1 (/ (sin y) x)) z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (+ (* -1 (/ y z)) (* 1/2 (pow y 2))))) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) z)) z)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | y | @ | inf | ((* (+ (* (+ (/ (sin y) z) (cos y)) (/ z x)) 1) x) (+ (+ x (sin y)) (* z (cos y))) (* (+ (/ (+ (sin y) x) z) (cos y)) z) (+ (* (+ (/ (sin y) z) (cos y)) (/ z x)) 1) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (* (+ (* (* z y) -1/2) 1) y) (+ (* (* z y) -1/2) 1) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (* (+ (* (* y y) -1/2) 1) z) (+ (* (* y y) -1/2) 1) (/ (* (+ z y) (- z y)) (- z y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y)) (* (+ z y) (- z y)) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (/ (sin y) z) (+ (/ (sin y) z) (cos y))) |
| 8.0ms | z | @ | inf | ((* (+ (* (+ (/ (sin y) z) (cos y)) (/ z x)) 1) x) (+ (+ x (sin y)) (* z (cos y))) (* (+ (/ (+ (sin y) x) z) (cos y)) z) (+ (* (+ (/ (sin y) z) (cos y)) (/ z x)) 1) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (* (+ (* (* z y) -1/2) 1) y) (+ (* (* z y) -1/2) 1) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (* (+ (* (* y y) -1/2) 1) z) (+ (* (* y y) -1/2) 1) (/ (* (+ z y) (- z y)) (- z y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y)) (* (+ z y) (- z y)) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (/ (sin y) z) (+ (/ (sin y) z) (cos y))) |
| 4.0ms | z | @ | -inf | ((* (+ (* (+ (/ (sin y) z) (cos y)) (/ z x)) 1) x) (+ (+ x (sin y)) (* z (cos y))) (* (+ (/ (+ (sin y) x) z) (cos y)) z) (+ (* (+ (/ (sin y) z) (cos y)) (/ z x)) 1) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (* (+ (* (* z y) -1/2) 1) y) (+ (* (* z y) -1/2) 1) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (* (+ (* (* y y) -1/2) 1) z) (+ (* (* y y) -1/2) 1) (/ (* (+ z y) (- z y)) (- z y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y)) (* (+ z y) (- z y)) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (/ (sin y) z) (+ (/ (sin y) z) (cos y))) |
| 3.0ms | z | @ | 0 | ((* (+ (* (+ (/ (sin y) z) (cos y)) (/ z x)) 1) x) (+ (+ x (sin y)) (* z (cos y))) (* (+ (/ (+ (sin y) x) z) (cos y)) z) (+ (* (+ (/ (sin y) z) (cos y)) (/ z x)) 1) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (* (+ (* (* z y) -1/2) 1) y) (+ (* (* z y) -1/2) 1) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (* (+ (* (* y y) -1/2) 1) z) (+ (* (* y y) -1/2) 1) (/ (* (+ z y) (- z y)) (- z y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y)) (* (+ z y) (- z y)) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (/ (sin y) z) (+ (/ (sin y) z) (cos y))) |
| 3.0ms | y | @ | -inf | ((* (+ (* (+ (/ (sin y) z) (cos y)) (/ z x)) 1) x) (+ (+ x (sin y)) (* z (cos y))) (* (+ (/ (+ (sin y) x) z) (cos y)) z) (+ (* (+ (/ (sin y) z) (cos y)) (/ z x)) 1) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (* (+ (* (* z y) -1/2) 1) y) (+ (* (* z y) -1/2) 1) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (* (+ (* (* y y) -1/2) 1) z) (+ (* (* y y) -1/2) 1) (/ (* (+ z y) (- z y)) (- z y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y)) (* (+ z y) (- z y)) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (/ (sin y) z) (+ (/ (sin y) z) (cos y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 322 | 1204 |
| 1 | 1113 | 1154 |
| 2 | 3992 | 1125 |
| 0 | 8770 | 1030 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (+ (cos y) (/ (sin y) z))) |
(+ x (* z (+ (cos y) (/ (sin y) z)))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ (* z (+ (cos y) (/ (sin y) z))) x) |
(/ (+ x (* z (+ (cos y) (/ (sin y) z)))) x) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(sin y) |
(+ x (sin y)) |
x |
(* x (+ 1 (/ (* z (+ (cos y) (/ (sin y) z))) x))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
1 |
(+ 1 (/ (* z (+ (cos y) (/ (sin y) z))) x)) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(* x (+ 1 (/ (sin y) x))) |
(* -1 (* x (- (* -1 (/ (* z (+ (cos y) (/ (sin y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* x (+ 1 (/ z x))) |
(+ y (* x (+ 1 (/ z x)))) |
(+ (* x (+ 1 (/ z x))) (* y (+ 1 (* -1/2 (* y z))))) |
(+ (* x (+ 1 (/ z x))) (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(* z (+ 1 (/ x z))) |
(+ y (* z (+ 1 (/ x z)))) |
(+ (* y (+ 1 (* -1/2 (* y z)))) (* z (+ 1 (/ x z)))) |
(+ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) (* z (+ 1 (/ x z)))) |
(+ 1 (/ z x)) |
(+ 1 (+ (/ y x) (/ z x))) |
(+ 1 (+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))) |
(+ 1 (+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x))) |
y |
(* y (+ 1 (* -1/2 (* y z)))) |
(+ 1 (* -1/2 (* y z))) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ 1 (* -1/2 (pow y 2))) |
(+ y z) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(pow z 2) |
(+ (* y (+ z (* -1 z))) (pow z 2)) |
(+ (* y (+ z (+ (* -1 y) (* -1 z)))) (pow z 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 y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(* 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)))) |
(/ y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(+ 1 (/ y z)) |
(+ 1 (* y (+ (* -1/2 y) (/ 1 z)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ y z)) 1/2)) (/ 1 z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2)))))) |
(* -1/2 (* y z)) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2)))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2)) |
(* y (+ 1 (/ z y))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (/ z y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ z y) (/ (pow z 2) (pow y 2)))) 1)) |
(cos y) |
(/ (sin y) z) |
(+ (cos y) (/ (sin y) z)) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z))) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 z)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) y)))) y)) 1)) |
(+ (* x (+ 1 (/ (sin y) x))) (* z (cos y))) |
(+ 1 (/ (sin y) x)) |
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ y (* -1/2 (* (pow y 2) z))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(+ (* -1 (pow y 2)) (* z (+ y (* -1 y)))) |
(+ (* -1 (pow y 2)) (* z (+ y (+ z (* -1 y))))) |
(/ (+ (sin y) (* z (cos y))) z) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (+ 1 (/ (sin y) x))) z))) |
(/ (* z (cos y)) x) |
(* z (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(* z (+ (* -1/2 (pow y 2)) (/ y z))) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(* z (+ 1 (/ y z))) |
(* (pow z 2) (+ 1 (+ (* -1 (/ y z)) (/ y z)))) |
(* (pow z 2) (+ 1 (+ (* -1 (/ y z)) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (+ 1 (/ (sin y) x))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (+ 1 (/ (sin y) x)) z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (+ (* -1 (/ y z)) (* 1/2 (pow y 2))))) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) z)) z)))) |
| Outputs |
|---|
(* z (+ (cos y) (/ (sin y) z))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(+ x (* z (+ (cos y) (/ (sin y) z)))) |
(fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) z x) |
(+ (sin y) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(/ (* z (+ (cos y) (/ (sin y) z))) x) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x)) |
(/ (+ x (* z (+ (cos y) (/ (sin y) z)))) x) |
(fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) x) |
(sin y) |
(sin.f64 y) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
x |
(* x (+ 1 (/ (* z (+ (cos y) (/ (sin y) z))) x))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (* z (+ (cos y) (/ (sin y) z))) x)) |
(fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) x) x x) |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(* -1 (* x (- (* -1 (/ (* z (+ (cos y) (/ (sin y) z))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 (neg.f64 z) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (neg.f64 x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) (neg.f64 x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (sin.f64 y) (neg.f64 x)) #s(literal 1 binary64))) |
(* x (+ 1 (/ z x))) |
(fma.f64 (/.f64 z x) x x) |
(+ y (* x (+ 1 (/ z x)))) |
(fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) x y) |
(+ (* x (+ 1 (/ z x))) (* y (+ 1 (* -1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (fma.f64 (/.f64 z x) x x)) |
(+ (* x (+ 1 (/ z x))) (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (fma.f64 (/.f64 z x) x x)) |
(+ x z) |
(+.f64 x z) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)) |
(* z (+ 1 (/ x z))) |
(fma.f64 (/.f64 x z) z z) |
(+ y (* z (+ 1 (/ x z)))) |
(fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z y) |
(+ (* y (+ 1 (* -1/2 (* y z)))) (* z (+ 1 (/ x z)))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (fma.f64 (/.f64 x z) z z)) |
(+ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) (* z (+ 1 (/ x z)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (fma.f64 (/.f64 x z) z z)) |
(+ 1 (/ z x)) |
(+.f64 (/.f64 z x) #s(literal 1 binary64)) |
(+ 1 (+ (/ y x) (/ z x))) |
(+.f64 (/.f64 (+.f64 z y) x) #s(literal 1 binary64)) |
(+ 1 (+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))) |
(+.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) x) #s(literal 1 binary64)) |
(+ 1 (+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) x) y (+.f64 (/.f64 z x) #s(literal 1 binary64))) |
y |
(* y (+ 1 (* -1/2 (* y z)))) |
(*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y) |
(+ 1 (* -1/2 (* y z))) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ y z) |
(+.f64 z y) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z) |
(pow z 2) |
(*.f64 z z) |
(+ (* y (+ z (* -1 z))) (pow z 2)) |
(*.f64 z z) |
(+ (* y (+ z (+ (* -1 y) (* -1 z)))) (pow z 2)) |
(fma.f64 (-.f64 #s(literal 0 binary64) y) y (*.f64 z z)) |
(+ 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 y) |
(+.f64 x y) |
(+ 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 (* 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) |
(* 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) |
(/ y z) |
(/.f64 y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) z) (/.f64 y z)) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) #s(literal -1/5040 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) z)) (/.f64 y z)) |
(+ 1 (/ y z)) |
(+.f64 (/.f64 y z) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1/2 y) (/ 1 z)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal 1 binary64) z)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ y z)) 1/2)) (/ 1 z)))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 y z) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 #s(literal 1 binary64) z)) y #s(literal 1 binary64)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z) |
(* -1/2 (* (pow y 2) z)) |
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2)))))) |
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/2 binary64) z (/.f64 (/.f64 (+.f64 x z) y) y)) #s(literal 1 binary64))) |
(* -1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal -1/2 binary64)) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 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) |
(* -1/2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2)) |
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64)) y) y) |
(* y (+ 1 (/ z y))) |
(fma.f64 (/.f64 z y) y y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (/ z y)) 1)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ z y) (/ (pow z 2) (pow y 2)))) 1)) |
(*.f64 (*.f64 (-.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1 binary64)) y) y) |
(cos y) |
(cos.f64 y) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(+ (cos y) (/ (sin y) z)) |
(+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (-.f64 (/.f64 (+.f64 x z) (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y))) y) y) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(*.f64 (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)) (neg.f64 y)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 z)) y)) 1)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) y)))) y)) 1)) |
(*.f64 (*.f64 (-.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1 binary64)) y) y) |
(+ (* x (+ 1 (/ (sin y) x))) (* z (cos y))) |
(fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) z x) |
(+ 1 (/ (sin y) x)) |
(+.f64 (/.f64 (sin.f64 y) x) #s(literal 1 binary64)) |
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))) |
(+.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal 1 binary64)) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) x) |
(+ y (* -1/2 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(+ (* -1 (pow y 2)) (* z (+ y (* -1 y)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) y) |
(+ (* -1 (pow y 2)) (* z (+ y (+ z (* -1 y))))) |
(fma.f64 (neg.f64 y) y (*.f64 z z)) |
(/ (+ (sin y) (* z (cos y))) z) |
(/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ (* x (+ 1 (/ (sin y) x))) z))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (sin.f64 y) x) #s(literal 1 binary64)) z) x (cos.f64 y)) z) |
(/ (* z (cos y)) x) |
(/.f64 (*.f64 (cos.f64 y) z) x) |
(* z (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z))))) |
(fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (/.f64 (+.f64 x y) z)) z z) |
(* z (+ (* -1/2 (pow y 2)) (/ y z))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal 1 binary64) z)) y) z) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(* z (+ 1 (/ y z))) |
(fma.f64 (/.f64 y z) z z) |
(* (pow z 2) (+ 1 (+ (* -1 (/ y z)) (/ y z)))) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (+ (* -1 (/ y z)) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y z) #s(literal 0 binary64)) z)) z) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (+ 1 (/ (sin y) x))) z))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (sin.f64 y) x) #s(literal 1 binary64)) z) x (cos.f64 y)) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (+ 1 (/ (sin y) x)) z))))) |
(fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (neg.f64 z)) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(*.f64 (-.f64 (/.f64 (-.f64 (neg.f64 x) y) z) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ y z)) (* 1/2 (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal 1 binary64) z)) y) z) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(*.f64 (-.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) z)) z)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y z) #s(literal 0 binary64)) z)) z) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 339 |
| 0 | 71 | 315 |
| 1 | 287 | 315 |
| 2 | 2364 | 315 |
| 0 | 8801 | 297 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))) |
#s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)) |
(fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y) |
#s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)))) |
#s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y))) |
(*.f64 (+.f64 z y) (-.f64 z y)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(approx (+ (sin y) x) (sin.f64 y)) |
(sin.f64 y) |
(/.f64 (sin.f64 y) z) |
(+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) |
| Outputs |
|---|
(*.f64 (fma.f64 (/.f64 z x) (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (/.f64 z x) (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z x) (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (*.f64 (/.f64 z x) (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z x) (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))) (pow.f64 (*.f64 (/.f64 z x) (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (/.f64 z x) (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (/.f64 z x) (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (/.f64 z x) (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))) (pow.f64 (*.f64 (/.f64 z x) (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (/.f64 z x) (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) x (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (/.f64 z x) (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) x)) |
(fma.f64 x (*.f64 (/.f64 z x) (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 z x) (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))))) |
(+.f64 (*.f64 (*.f64 (/.f64 z x) (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) x) (*.f64 #s(literal 1 binary64) x)) |
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(/.f64 (*.f64 (-.f64 z y) (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y))) (neg.f64 (-.f64 z y))) |
(/.f64 (*.f64 (-.f64 z y) (*.f64 (-.f64 z y) (+.f64 z y))) (-.f64 z y)) |
(/.f64 (*.f64 (+.f64 z y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z z (*.f64 y (+.f64 z y)))) |
(/.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 z y) (+.f64 z y))) (+.f64 z y)) |
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 z z (*.f64 y y))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 z y)) (fma.f64 y (-.f64 y z) (*.f64 z z))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y)) (-.f64 z y)) (neg.f64 (-.f64 z y))) |
(/.f64 (*.f64 (*.f64 (-.f64 z y) (+.f64 z y)) (-.f64 z y)) (-.f64 z y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z z (*.f64 y (+.f64 z y))) (fma.f64 y (-.f64 y z) (*.f64 z z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y))) (*.f64 (fma.f64 z z (*.f64 y (+.f64 z y))) (neg.f64 (-.f64 z y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (-.f64 z y) (+.f64 z y))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (*.f64 (*.f64 (-.f64 z y) (+.f64 z y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (+.f64 z y) (fma.f64 y (-.f64 y z) (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 (-.f64 z y) (+.f64 z y)) (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y))) (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)) (fma.f64 z z (*.f64 y (+.f64 z y))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (-.f64 z y) (+.f64 z y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (neg.f64 (-.f64 z y)) (fma.f64 z z (*.f64 y (+.f64 z y))))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y)) (*.f64 (-.f64 z y) (+.f64 z y))) (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y))) |
(/.f64 (*.f64 (*.f64 (-.f64 z y) (+.f64 z y)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 z y) (fma.f64 z z (*.f64 y (+.f64 z y))))) |
(/.f64 (pow.f64 (*.f64 (-.f64 z y) (+.f64 z y)) #s(literal 2 binary64)) (*.f64 (-.f64 z y) (+.f64 z y))) |
(fma.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)) (*.f64 y (neg.f64 y))) |
(fma.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(fma.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)) (*.f64 (neg.f64 y) y)) |
(fma.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 z)) (*.f64 y (neg.f64 y))) |
(fma.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 z)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(fma.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 z)) (*.f64 (neg.f64 y) y)) |
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (*.f64 y (neg.f64 y))) |
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (*.f64 (neg.f64 y) y)) |
(fma.f64 (fabs.f64 z) (fabs.f64 z) (*.f64 y (neg.f64 y))) |
(fma.f64 (fabs.f64 z) (fabs.f64 z) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(fma.f64 (fabs.f64 z) (fabs.f64 z) (*.f64 (neg.f64 y) y)) |
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 y (neg.f64 y))) |
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 (neg.f64 y) y)) |
(fma.f64 (-.f64 z y) z (*.f64 (-.f64 z y) y)) |
(fma.f64 (-.f64 z y) y (*.f64 (-.f64 z y) z)) |
(fma.f64 z (-.f64 z y) (*.f64 y (-.f64 z y))) |
(fma.f64 z z (*.f64 y (neg.f64 y))) |
(fma.f64 z z (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(fma.f64 z z (*.f64 (neg.f64 y) y)) |
(fma.f64 y (-.f64 z y) (*.f64 z (-.f64 z y))) |
(-.f64 (*.f64 z z) (*.f64 y y)) |
(+.f64 (*.f64 z (-.f64 z y)) (*.f64 y (-.f64 z y))) |
(+.f64 (*.f64 y (-.f64 z y)) (*.f64 z (-.f64 z y))) |
(+.f64 (*.f64 (-.f64 z y) z) (*.f64 (-.f64 z y) y)) |
(+.f64 (*.f64 (-.f64 z y) y) (*.f64 (-.f64 z y) z)) |
(+.f64 (*.f64 z z) (*.f64 y (neg.f64 y))) |
(+.f64 (*.f64 z z) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(+.f64 (*.f64 z z) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(approx (+ (sin y) x) (sin.f64 y)))) (*.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(approx (+ (sin y) x) (sin.f64 y))) (pow.f64 #s(approx (+ (sin y) x) (sin.f64 y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(approx (+ (sin y) x) (sin.f64 y))) (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(approx (+ (sin y) x) (sin.f64 y))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 3 binary64)) (fma.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (-.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (-.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64))) (pow.f64 #s(approx (+ (sin y) x) (sin.f64 y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (-.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64))) (fma.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (-.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (sin y) x) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64))) (-.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (sin y) x) (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(approx (+ (sin y) x) (sin.f64 y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (sin y) x) (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (-.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (sin y) x) (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(approx (+ (sin y) x) (sin.f64 y)))) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ (sin y) x) (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (sin y) x) (sin.f64 y)) #s(approx (+ (sin y) x) (sin.f64 y)) (-.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(approx (+ (sin y) x) (sin.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ (sin y) x) (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (-.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) |
(fma.f64 z #s(approx (cos y) #s(literal 1 binary64)) #s(approx (+ (sin y) x) (sin.f64 y))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(approx (+ (sin y) x) (sin.f64 y)))) (/.f64 (pow.f64 #s(approx (+ (sin y) x) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(approx (+ (sin y) x) (sin.f64 y))))) |
(-.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (*.f64 (neg.f64 #s(approx (cos y) #s(literal 1 binary64))) z)) |
(-.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (*.f64 (neg.f64 z) #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 3 binary64)) (fma.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (-.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (+ (sin y) x) (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (-.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(approx (+ (sin y) x) (sin.f64 y))) |
(+.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(approx (+ (sin y) x) (sin.f64 y)) |
(sin.f64 y) |
(/.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))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (sin.f64 y) z) (cos.f64 y))) (*.f64 (-.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (-.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64))) (*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) (pow.f64 (/.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 (sin.f64 y) z)) (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (sin.f64 y) z) (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) (pow.f64 (/.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 (sin.f64 y) z)) (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64))))) |
(+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) |
(+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) |
Compiled 11 805 to 1 428 computations (87.9% saved)
34 alts after pruning (24 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 288 | 11 | 299 |
| Fresh | 3 | 13 | 16 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 7 | 7 |
| Total | 293 | 34 | 327 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| 71.5% | (fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (+.f64 x y))) | |
| ✓ | 82.1% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
| ✓ | 43.3% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) |
| 32.6% | (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (*.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 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))) | |
| ✓ | 71.5% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
| 54.7% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) (*.f64 y y) z))) | |
| ✓ | 60.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
| 65.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (/.f64 (+.f64 x (sin.f64 y)) z) (cos.f64 y)))) | |
| 57.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64))))) | |
| 61.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) | |
| ✓ | 66.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| ✓ | 89.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z)) |
| ✓ | 25.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
| 2.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) | |
| 2.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y))) | |
| ✓ | 5.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y))) |
| 28.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z))) | |
| 15.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) z))) | |
| 11.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) z))) | |
| 13.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/6 binary64)) (*.f64 y y))) y z))) | |
| 25.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y z))) | |
| 9.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y)) (-.f64 z y)) (*.f64 (neg.f64 (-.f64 z y)) (-.f64 z y))))) | |
| 4.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 #s(approx (* (+ z y) (- z y)) (*.f64 (neg.f64 y) y)) (-.f64 z y)))) | |
| 14.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 #s(approx (* (+ z y) (- z y)) (*.f64 z z)) (-.f64 z y)))) | |
| ✓ | 29.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
| 18.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (/ (* (+ z y) (- z y)) (- z y)) (fma.f64 (/.f64 z y) y y)))) | |
| 61.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) | |
| 60.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (fma.f64 (+.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))) | |
| 54.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (fma.f64 #s(approx (+ (/ (sin y) z) (cos y)) (+.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 z x) #s(literal 1 binary64)) x))) | |
| 44.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (cos.f64 y) z))) | |
| 33.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 #s(approx (+ (* (+ (/ (sin y) z) (cos y)) (/ z x)) 1) (/.f64 (*.f64 (cos.f64 y) z) x)) x))) | |
| 49.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 #s(approx (+ (* (+ (/ (sin y) z) (cos y)) (/ z x)) 1) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x))) x))) | |
| 41.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 #s(approx (+ (* (+ (/ (sin y) z) (cos y)) (/ z x)) 1) #s(literal 1 binary64)) x))) |
Compiled 2 473 to 907 computations (63.3% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 #s(approx (+ (* (+ (/ (sin y) z) (cos y)) (/ z x)) 1) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (/ (+ (sin y) x) z) (cos y)) (/.f64 x z)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (/ (* (+ z y) (- z y)) (- z y)) (fma.f64 (/.f64 z y) y y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 #s(approx (* (+ z y) (- z y)) (*.f64 z z)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 #s(approx (* (+ z y) (- z y)) (*.f64 (neg.f64 y) y)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ z y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) z))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) (*.f64 y y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (fma.f64 #s(approx (+ (/ (sin y) z) (cos y)) (+.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 z x) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y)) (-.f64 z y)) (*.f64 (neg.f64 (-.f64 z y)) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/6 binary64)) (*.f64 y y))) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z y)) (*.f64 (-.f64 z y) (*.f64 y y))) (*.f64 (-.f64 z y) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (cos.f64 y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (sin.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (+.f64 x y))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 #s(approx (+ (* (+ (/ (sin y) z) (cos y)) (/ z x)) 1) (/.f64 (*.f64 (cos.f64 y) z) x)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (fma.f64 (+.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 #s(approx (+ (* (+ (/ (sin y) z) (cos y)) (/ z x)) 1) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x))) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (/.f64 (+.f64 x (sin.f64 y)) z) (cos.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (*.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 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (sin.f64 y) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64)))))))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))))))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
4 calls:
| 26.0ms | z |
| 13.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 13.0ms | y |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 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 (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 #s(approx (+ (* (+ (/ (sin y) z) (cos y)) (/ z x)) 1) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (/ (+ (sin y) x) z) (cos y)) (/.f64 x z)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (/ (* (+ z y) (- z y)) (- z y)) (fma.f64 (/.f64 z y) y y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 #s(approx (* (+ z y) (- z y)) (*.f64 z z)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 #s(approx (* (+ z y) (- z y)) (*.f64 (neg.f64 y) y)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ z y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) z))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) (*.f64 y y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (fma.f64 #s(approx (+ (/ (sin y) z) (cos y)) (+.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 z x) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y)) (-.f64 z y)) (*.f64 (neg.f64 (-.f64 z y)) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/6 binary64)) (*.f64 y y))) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z y)) (*.f64 (-.f64 z y) (*.f64 y y))) (*.f64 (-.f64 z y) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (cos.f64 y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (sin.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (+.f64 x y))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 #s(approx (+ (* (+ (/ (sin y) z) (cos y)) (/ z x)) 1) (/.f64 (*.f64 (cos.f64 y) z) x)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (fma.f64 (+.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (cos.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (cos.f64 y) z))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (+.f64 x y))) |
4 calls:
| 19.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 18.0ms | y |
| 11.0ms | x |
| 11.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.9% | 3 | x |
| 84.7% | 2 | y |
| 93.3% | 3 | z |
| 88.7% | 3 | (+.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 (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 #s(approx (+ (* (+ (/ (sin y) z) (cos y)) (/ z x)) 1) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (/ (+ (sin y) x) z) (cos y)) (/.f64 x z)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (/ (* (+ z y) (- z y)) (- z y)) (fma.f64 (/.f64 z y) y y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 #s(approx (* (+ z y) (- z y)) (*.f64 z z)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 #s(approx (* (+ z y) (- z y)) (*.f64 (neg.f64 y) y)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ z y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) z))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) (*.f64 y y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (fma.f64 #s(approx (+ (/ (sin y) z) (cos y)) (+.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 z x) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y)) (-.f64 z y)) (*.f64 (neg.f64 (-.f64 z y)) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/6 binary64)) (*.f64 y y))) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z y)) (*.f64 (-.f64 z y) (*.f64 y y))) (*.f64 (-.f64 z y) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (cos.f64 y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (sin.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (cos.f64 y) z))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (cos.f64 y) z))) |
1 calls:
| 13.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.0% | 3 | z |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 #s(approx (+ (* (+ (/ (sin y) z) (cos y)) (/ z x)) 1) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (/ (+ (sin y) x) z) (cos y)) (/.f64 x z)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (/ (* (+ z y) (- z y)) (- z y)) (fma.f64 (/.f64 z y) y y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 #s(approx (* (+ z y) (- z y)) (*.f64 z z)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 #s(approx (* (+ z y) (- z y)) (*.f64 (neg.f64 y) y)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ z y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) z))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) (*.f64 y y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (fma.f64 #s(approx (+ (/ (sin y) z) (cos y)) (+.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 z x) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y)) (-.f64 z y)) (*.f64 (neg.f64 (-.f64 z y)) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/6 binary64)) (*.f64 y y))) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z y)) (*.f64 (-.f64 z y) (*.f64 y y))) (*.f64 (-.f64 z y) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (cos.f64 y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (sin.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (cos.f64 y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
4 calls:
| 54.0ms | y |
| 12.0ms | x |
| 9.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.4% | 3 | y |
| 81.8% | 5 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 82.2% | 4 | x |
| 77.0% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 #s(approx (+ (* (+ (/ (sin y) z) (cos y)) (/ z x)) 1) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (/ (+ (sin y) x) z) (cos y)) (/.f64 x z)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (/ (* (+ z y) (- z y)) (- z y)) (fma.f64 (/.f64 z y) y y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 #s(approx (* (+ z y) (- z y)) (*.f64 z z)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 #s(approx (* (+ z y) (- z y)) (*.f64 (neg.f64 y) y)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ z y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) z))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) (*.f64 y y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (fma.f64 #s(approx (+ (/ (sin y) z) (cos y)) (+.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 z x) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y)) (-.f64 z y)) (*.f64 (neg.f64 (-.f64 z y)) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/6 binary64)) (*.f64 y y))) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z y)) (*.f64 (-.f64 z y) (*.f64 y y))) (*.f64 (-.f64 z y) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (cos.f64 y) z))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (cos.f64 y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (cos.f64 y) z))) |
3 calls:
| 79.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 8.0ms | x |
| 8.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.0% | 3 | z |
| 66.1% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 75.3% | 3 | x |
Compiled 11 to 14 computations (-27.3% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 #s(approx (+ (* (+ (/ (sin y) z) (cos y)) (/ z x)) 1) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (/ (+ (sin y) x) z) (cos y)) (/.f64 x z)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (/ (* (+ z y) (- z y)) (- z y)) (fma.f64 (/.f64 z y) y y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 #s(approx (* (+ z y) (- z y)) (*.f64 z z)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 #s(approx (* (+ z y) (- z y)) (*.f64 (neg.f64 y) y)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ z y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) z))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) (*.f64 y y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (fma.f64 #s(approx (+ (/ (sin y) z) (cos y)) (+.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 z x) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y)) (-.f64 z y)) (*.f64 (neg.f64 (-.f64 z y)) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/6 binary64)) (*.f64 y y))) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z y)) (*.f64 (-.f64 z y) (*.f64 y y))) (*.f64 (-.f64 z y) (-.f64 z y))))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
3 calls:
| 34.0ms | z |
| 8.0ms | x |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.2% | 3 | y |
| 66.1% | 1 | x |
| 66.1% | 1 | z |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 #s(approx (+ (* (+ (/ (sin y) z) (cos y)) (/ z x)) 1) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 #s(approx (+ (* (* z y) -1/2) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (/ (+ (sin y) x) z) (cos y)) (/.f64 x z)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (/ (* (+ z y) (- z y)) (- z y)) (fma.f64 (/.f64 z y) y y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 #s(approx (* (+ z y) (- z y)) (*.f64 z z)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 #s(approx (* (+ z y) (- z y)) (*.f64 (neg.f64 y) y)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ z y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) z))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
2 calls:
| 41.0ms | y |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.1% | 1 | x |
| 66.1% | 1 | y |
Compiled 2 to 6 computations (-200% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
4 calls:
| 1.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.4% | 1 | y |
| 29.4% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 29.4% | 1 | z |
| 29.4% | 1 | x |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 6.553645490272729e+43 | 3.1547415723047014e+47 |
| 31.0ms | -1.378005210248232e+141 | -1.5053913264069242e+137 |
| 37.0ms | 256× | 0 | valid |
Compiled 476 to 390 computations (18.1% saved)
ival-sin: 21.0ms (69.4% of total)ival-cos: 5.0ms (16.5% of total)ival-add: 2.0ms (6.6% of total)ival-mult: 2.0ms (6.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 2.1892645644582614e+66 | 2.1823482684575662e+71 |
| 1.0ms | -1.378005210248232e+141 | -1.5053913264069242e+137 |
| 24.0ms | 144× | 0 | valid |
Compiled 624 to 473 computations (24.2% saved)
ival-cos: 15.0ms (74.1% of total)ival-sin: 3.0ms (14.8% of total)ival-add: 1.0ms (4.9% of total)ival-mult: 1.0ms (4.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 1.3776824012638134e-17 | 5.160235257954177e-10 |
| 42.0ms | -1.8048121293250493e-92 | -7.175159121174855e-97 |
| 43.0ms | -1.9823614607560774e+29 | -1.0360502857591525e+24 |
| 77.0ms | 416× | 0 | valid |
Compiled 994 to 739 computations (25.7% saved)
ival-add: 30.0ms (45.2% of total)ival-sin: 26.0ms (39.2% of total)ival-cos: 7.0ms (10.5% of total)ival-mult: 3.0ms (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 |
|---|---|---|
| 1.0ms | 2.1892645644582614e+66 | 2.1823482684575662e+71 |
| 1.0ms | -1.378005210248232e+141 | -1.5053913264069242e+137 |
Compiled 675 to 490 computations (27.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 1.1430877932020606e+28 | 3.3217252839234045e+31 |
| 41.0ms | -569576.2878373882 | -15135.145921771238 |
| 50.0ms | 240× | 0 | valid |
Compiled 567 to 449 computations (20.8% saved)
ival-sin: 33.0ms (75.8% of total)ival-cos: 7.0ms (16.1% of total)ival-add: 2.0ms (4.6% of total)ival-mult: 2.0ms (4.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 319 |
| 1 | 99 | 319 |
| 2 | 134 | 319 |
| 3 | 213 | 319 |
| 4 | 420 | 319 |
| 5 | 904 | 311 |
| 6 | 1994 | 311 |
| 7 | 4162 | 311 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(if (<=.f64 z #s(literal -2200000000000000072251437476250837373771427645991145730127089537769243415177333590196802894381000307904688910525509358273026679395265282048 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (cos.f64 y) z))) (if (<=.f64 z #s(literal 1199999999999999947400011835148396501334491136 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) (fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (+.f64 x y))))) |
(if (<=.f64 z #s(literal -2200000000000000072251437476250837373771427645991145730127089537769243415177333590196802894381000307904688910525509358273026679395265282048 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (cos.f64 y) z))) (if (<=.f64 z #s(literal 8800000000000000638276640157457269110193694804889393208560249368215552 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (cos.f64 y) z))))) |
(if (<=.f64 x #s(literal -480000000000000009126805504 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 x #s(literal -5871356456934583/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (cos.f64 y) z))) (if (<=.f64 x #s(literal 4580378145355907/1237940039285380274899124224 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))) |
(if (<=.f64 z #s(literal -2200000000000000072251437476250837373771427645991145730127089537769243415177333590196802894381000307904688910525509358273026679395265282048 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (cos.f64 y) z))) (if (<=.f64 z #s(literal 8800000000000000638276640157457269110193694804889393208560249368215552 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (cos.f64 y) z))))) |
(if (<=.f64 y #s(literal -65000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 11499999999999999190734209024 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(if (<=.f64 z #s(literal -2200000000000000072251437476250837373771427645991145730127089537769243415177333590196802894381000307904688910525509358273026679395265282048 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (cos.f64 y) z))) (if (<=.f64 z #s(literal 1199999999999999947400011835148396501334491136 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) (fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (+.f64 x y))))) |
(if (<=.f64 z #s(literal -2200000000000000072251437476250837373771427645991145730127089537769243415177333590196802894381000307904688910525509358273026679395265282048 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))) (if (<=.f64 z #s(literal 1199999999999999947400011835148396501334491136 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) (fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (+.f64 x y))))) |
(if (<=.f64 z #s(literal -2200000000000000072251437476250837373771427645991145730127089537769243415177333590196802894381000307904688910525509358273026679395265282048 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (cos.f64 y) z))) (if (<=.f64 z #s(literal 8800000000000000638276640157457269110193694804889393208560249368215552 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (cos.f64 y) z))))) |
(if (or (<=.f64 z #s(literal -2200000000000000072251437476250837373771427645991145730127089537769243415177333590196802894381000307904688910525509358273026679395265282048 binary64)) (not (<=.f64 z #s(literal 8800000000000000638276640157457269110193694804889393208560249368215552 binary64)))) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x))) |
(if (<=.f64 x #s(literal -480000000000000009126805504 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 x #s(literal -5871356456934583/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (cos.f64 y) z))) (if (<=.f64 x #s(literal 4580378145355907/1237940039285380274899124224 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))) |
(if (<=.f64 x #s(literal -480000000000000009126805504 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 x #s(literal -5871356456934583/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))) (if (<=.f64 x #s(literal 4580378145355907/1237940039285380274899124224 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))) |
(if (<=.f64 z #s(literal -2200000000000000072251437476250837373771427645991145730127089537769243415177333590196802894381000307904688910525509358273026679395265282048 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (cos.f64 y) z))) (if (<=.f64 z #s(literal 8800000000000000638276640157457269110193694804889393208560249368215552 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* (+ (/ (+ (sin y) x) z) (cos y)) z) (*.f64 (cos.f64 y) z))))) |
(if (or (<=.f64 z #s(literal -2200000000000000072251437476250837373771427645991145730127089537769243415177333590196802894381000307904688910525509358273026679395265282048 binary64)) (not (<=.f64 z #s(literal 8800000000000000638276640157457269110193694804889393208560249368215552 binary64)))) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))) |
(if (<=.f64 y #s(literal -65000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 11499999999999999190734209024 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (or (<=.f64 y #s(literal -65000 binary64)) (not (<=.f64 y #s(literal 11499999999999999190734209024 binary64)))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 123 |
| 0 | 41 | 120 |
| 1 | 197 | 120 |
| 2 | 1465 | 120 |
| 0 | 8847 | 119 |
| 0 | 198 | 604 |
| 1 | 650 | 598 |
| 2 | 2165 | 581 |
| 3 | 7052 | 581 |
| 0 | 8417 | 529 |
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 53 | 21 |
| 2 | 422 | 21 |
| 3 | 6127 | 21 |
| 0 | 8268 | 20 |
| 0 | 298 | 1194 |
| 1 | 985 | 1156 |
| 2 | 3616 | 1139 |
| 0 | 8253 | 1048 |
| 0 | 109 | 304 |
| 1 | 367 | 300 |
| 2 | 1277 | 290 |
| 3 | 4826 | 290 |
| 0 | 8072 | 263 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 530 to 232 computations (56.2% saved)
Compiled 640 to 146 computations (77.2% saved)
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