
Time bar (total: 8.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 1.8s | 8 250× | 0 | valid |
| 1.0ms | 5× | 1 | valid |
| 1.0ms | 1× | 3 | valid |
ival-add: 576.0ms (40.9% of total)ival-sin: 372.0ms (26.4% of total)ival-cos: 333.0ms (23.6% of total)ival-mult: 116.0ms (8.2% of total)ival-true: 6.0ms (0.4% of total)adjust: 3.0ms (0.2% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | (*.f64 z (cos.f64 y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (+.f64 x (sin.f64 y)) |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 52.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-sin: 15.0ms (43.4% of total)ival-cos: 10.0ms (28.9% of total)ival-add: 5.0ms (14.5% of total)ival-mult: 4.0ms (11.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 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 x (sin.f64 y)) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.1015625 | (*.f64 z (cos.f64 y)) |
| 40.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-sin: 22.0ms (68.4% of total)ival-cos: 5.0ms (15.6% of total)ival-add: 2.0ms (6.2% of total)ival-mult: 2.0ms (6.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 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 | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | ((+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 2.0ms | z | @ | 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)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 212 | 14 | 226 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 213 | 14 | 227 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| ▶ | 40.1% | (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x 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)))))))) | |
| ▶ | 64.4% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
| 82.4% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 75.0% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) | |
| 51.8% | (*.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))))) | |
| 39.8% | (*.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)))) | |
| ▶ | 58.6% | #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))) |
| 61.3% | #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))) | |
| 86.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x)) | |
| 59.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) | |
| 66.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) | |
| ▶ | 65.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
Compiled 670 to 376 computations (43.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (cos.f64 y) z (sin.f64 y)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (+.f64 x (sin.f64 y)) | |
| cost-diff | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) | |
| 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 (+.f64 z x)) | |
| cost-diff | 0 | #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))) | |
| 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 | 37 | 255 |
| 0 | 66 | 253 |
| 1 | 134 | 253 |
| 2 | 335 | 253 |
| 3 | 1166 | 253 |
| 4 | 3952 | 253 |
| 0 | 8204 | 252 |
| 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 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(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)) |
(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) |
(+.f64 z x) |
x |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
z |
#s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) |
(+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(cos.f64 y) |
y |
z |
(sin.f64 y) |
#s(literal 3 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
(fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) |
(-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(*.f64 x x) |
| 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 (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))) (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))) |
(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)) |
(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)) |
(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) |
(+.f64 z x) |
(+.f64 x z) |
x |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z (+.f64 x (sin.f64 y))) |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z) |
z |
#s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 x x))) |
(+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))) |
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) |
(pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64)) |
(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) |
#s(literal 3 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
(fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) |
(fma.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 x x)) |
(-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(*.f64 x x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) | |
| accuracy | 0.19207001953688402 | (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) | |
| accuracy | 4.1445168008114415 | (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 37.22080609417856 | (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) | |
| accuracy | 0.00390625 | (+.f64 x (sin.f64 y)) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.1015625 | (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| accuracy | 28.140103975538775 | #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.03515625 | (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)) | |
| accuracy | 0.04296875 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) | |
| accuracy | 0.15625 | (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) | |
| accuracy | 26.467938742062337 | #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))) | |
| accuracy | 0.0 | (+.f64 z x) | |
| accuracy | 22.230266437517745 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) | |
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (+.f64 (sin.f64 y) x) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.03125 | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| 96.0ms | 256× | 0 | valid |
Compiled 236 to 37 computations (84.3% saved)
ival-add: 21.0ms (27.7% of total)ival-mult: 16.0ms (21.1% of total)ival-cos: 15.0ms (19.8% of total)ival-sin: 9.0ms (11.9% of total)ival-pow: 8.0ms (10.5% of total)const: 4.0ms (5.3% of total)ival-div: 2.0ms (2.6% of total)ival-sub: 1.0ms (1.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(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 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(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)) |
(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)) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(+.f64 x (sin.f64 y)) |
(*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) |
(+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
#s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) |
| Outputs |
|---|
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(sin y) |
(+ x (sin y)) |
z |
(+ x z) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(pow (+ (sin y) (* z (cos y))) 3) |
(+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) |
(pow (+ (sin y) (* z (cos y))) 2) |
(+ (* -1 (* x (+ (sin y) (* z (cos y))))) (pow (+ (sin y) (* z (cos y))) 2)) |
(+ (* x (+ x (* -1 (+ (sin y) (* z (cos y)))))) (pow (+ (sin y) (* z (cos y))) 2)) |
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 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2)) (pow x 2)))) (* -1 (/ (+ (sin y) (* z (cos y))) x)))) |
(* x (- (+ 1 (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) (pow x 3)))) (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2)))))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))) |
(* -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 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) 1))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* z (cos y)))) x)))) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ x 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)))) |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(/ (+ (pow x 3) (pow z 3)) (+ (* z (- z x)) (pow x 2))) |
(+ (* y (- (+ (* 2 (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (/ (* (+ (pow x 3) (pow z 3)) (- (* 2 z) x)) (pow (+ (* z (- z x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* z (- z x)) (pow x 2))) (/ (pow z 3) (+ (* z (- z x)) (pow x 2))))) |
(+ (* y (- (+ (* 2 (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (+ (* y (- (+ (* -1/2 (/ (pow z 3) (+ (* z (- z x)) (pow x 2)))) (+ (* 2 (/ z (+ (* z (- z x)) (pow x 2)))) (/ (* z (+ 1 (* -1 (pow z 2)))) (+ (* z (- z x)) (pow x 2))))) (+ (/ (* (+ 1 (+ (* -1/2 (* z (- z x))) (* -1/2 (pow z 2)))) (+ (pow x 3) (pow z 3))) (pow (+ (* z (- z x)) (pow x 2)) 2)) (/ (* (- (* 2 z) x) (- (+ (* 2 (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (/ (* (+ (pow x 3) (pow z 3)) (- (* 2 z) x)) (pow (+ (* z (- z x)) (pow x 2)) 2)))) (+ (* z (- z x)) (pow x 2)))))) (/ (pow z 2) (+ (* z (- z x)) (pow x 2))))) (/ (* (+ (pow x 3) (pow z 3)) (- (* 2 z) x)) (pow (+ (* z (- z x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* z (- z x)) (pow x 2))) (/ (pow z 3) (+ (* z (- z x)) (pow x 2))))) |
(+ (* y (- (+ (* 2 (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (+ (* y (- (+ (* -1/2 (/ (pow z 3) (+ (* z (- z x)) (pow x 2)))) (+ (* 2 (/ z (+ (* z (- z x)) (pow x 2)))) (+ (* y (- (+ (* -2 (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (+ (* -1/6 (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (+ (/ 1 (+ (* z (- z x)) (pow x 2))) (/ (* z (+ (* -1 z) (* -1/3 z))) (+ (* z (- z x)) (pow x 2)))))) (+ (/ (* (+ 1 (+ (* -1/2 (* z (- z x))) (* -1/2 (pow z 2)))) (- (+ (* 2 (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (/ (* (+ (pow x 3) (pow z 3)) (- (* 2 z) x)) (pow (+ (* z (- z x)) (pow x 2)) 2)))) (+ (* z (- z x)) (pow x 2))) (+ (/ (* (+ (* -1 z) (+ (* -1/6 z) (* -1/6 (- z x)))) (+ (pow x 3) (pow z 3))) (pow (+ (* z (- z x)) (pow x 2)) 2)) (/ (* (- (* 2 z) x) (- (+ (* -1/2 (/ (pow z 3) (+ (* z (- z x)) (pow x 2)))) (+ (* 2 (/ z (+ (* z (- z x)) (pow x 2)))) (/ (* z (+ 1 (* -1 (pow z 2)))) (+ (* z (- z x)) (pow x 2))))) (+ (/ (* (+ 1 (+ (* -1/2 (* z (- z x))) (* -1/2 (pow z 2)))) (+ (pow x 3) (pow z 3))) (pow (+ (* z (- z x)) (pow x 2)) 2)) (/ (* (- (* 2 z) x) (- (+ (* 2 (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (/ (* (+ (pow x 3) (pow z 3)) (- (* 2 z) x)) (pow (+ (* z (- z x)) (pow x 2)) 2)))) (+ (* z (- z x)) (pow x 2)))))) (+ (* z (- z x)) (pow x 2))))))) (/ (* z (+ 1 (* -1 (pow z 2)))) (+ (* z (- z x)) (pow x 2)))))) (+ (/ (* (+ 1 (+ (* -1/2 (* z (- z x))) (* -1/2 (pow z 2)))) (+ (pow x 3) (pow z 3))) (pow (+ (* z (- z x)) (pow x 2)) 2)) (/ (* (- (* 2 z) x) (- (+ (* 2 (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (/ (* (+ (pow x 3) (pow z 3)) (- (* 2 z) x)) (pow (+ (* z (- z x)) (pow x 2)) 2)))) (+ (* z (- z x)) (pow x 2)))))) (/ (pow z 2) (+ (* z (- z x)) (pow x 2))))) (/ (* (+ (pow x 3) (pow z 3)) (- (* 2 z) x)) (pow (+ (* z (- z x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* z (- z x)) (pow x 2))) (/ (pow z 3) (+ (* z (- z x)) (pow x 2))))) |
(+ (pow x 3) (pow z 3)) |
(+ (* y (+ (* 2 (pow z 2)) (pow z 2))) (+ (pow x 3) (pow z 3))) |
(+ (* y (+ (* 2 (pow z 2)) (+ (* y (+ (* -1/2 (pow z 3)) (+ (* 2 z) (* z (+ 1 (* -1 (pow z 2))))))) (pow z 2)))) (+ (pow x 3) (pow z 3))) |
(+ (* y (+ (* 2 (pow z 2)) (+ (* y (+ (* -1/2 (pow z 3)) (+ (* 2 z) (+ (* y (+ 1 (+ (* -2 (pow z 2)) (+ (* -1/6 (pow z 2)) (* z (+ (* -1 z) (* -1/3 z))))))) (* z (+ 1 (* -1 (pow z 2)))))))) (pow z 2)))) (+ (pow x 3) (pow z 3))) |
(pow z 3) |
(+ (* y (+ (* 2 (pow z 2)) (pow z 2))) (pow z 3)) |
(+ (* y (+ (* 2 (pow z 2)) (+ (* y (+ (* -1/2 (pow z 3)) (+ (* 2 z) (* z (+ 1 (* -1 (pow z 2))))))) (pow z 2)))) (pow z 3)) |
(+ (* y (+ (* 2 (pow z 2)) (+ (* y (+ (* -1/2 (pow z 3)) (+ (* 2 z) (+ (* y (+ 1 (+ (* -2 (pow z 2)) (+ (* -1/6 (pow z 2)) (* z (+ (* -1 z) (* -1/3 z))))))) (* z (+ 1 (* -1 (pow z 2)))))))) (pow z 2)))) (pow z 3)) |
(+ y z) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ (* z (- z x)) (pow x 2)) |
(+ (* y (- (* 2 z) x)) (+ (* z (- z x)) (pow x 2))) |
(+ (* y (- (+ (* 2 z) (* y (+ 1 (+ (* -1/2 (* z (- z x))) (* -1/2 (pow z 2)))))) x)) (+ (* z (- z x)) (pow x 2))) |
(+ (* y (- (+ (* 2 z) (* y (+ 1 (+ (* -1/2 (* z (- z x))) (+ (* -1/2 (pow z 2)) (* y (+ (* -1 z) (+ (* -1/6 z) (* -1/6 (- z x)))))))))) x)) (+ (* z (- z x)) (pow x 2))) |
(cos 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)) (+ (/ x (pow y 3)) (/ 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)) |
(* -1/6 y) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* z (cos y)) |
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2))) |
(+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2)) |
(* -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 (/ (+ x 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 (+ (* 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)))) |
(/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (pow x 2))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (/ (pow (cos y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2)))))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(+ (pow x 3) (pow (sin y) 3)) |
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (* (cos y) (pow (sin y) 2)))) (+ (pow x 3) (pow (sin y) 3))) |
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (+ (* z (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) (* (cos y) (pow (sin y) 2))))) (+ (pow x 3) (pow (sin y) 3))) |
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (+ (* z (+ (* 2 (* (pow (cos y) 2) (sin y))) (+ (* z (pow (cos y) 3)) (* (pow (cos y) 2) (sin y))))) (* (cos y) (pow (sin y) 2))))) (+ (pow x 3) (pow (sin y) 3))) |
(pow (sin y) 3) |
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (* (cos y) (pow (sin y) 2)))) (pow (sin y) 3)) |
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (+ (* z (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) (* (cos y) (pow (sin y) 2))))) (pow (sin y) 3)) |
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (+ (* z (+ (* 2 (* (pow (cos y) 2) (sin y))) (+ (* z (pow (cos y) 3)) (* (pow (cos y) 2) (sin y))))) (* (cos y) (pow (sin y) 2))))) (pow (sin y) 3)) |
(+ (* (sin y) (- (sin y) x)) (pow x 2)) |
(+ (* z (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) |
(+ (* z (+ (* z (pow (cos y) 2)) (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))))) (+ (* (sin y) (- (sin y) x)) (pow x 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 (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* z (- (+ (cos y) (+ (* 2 (/ (sin y) z)) (/ x z))) (/ (sin y) z))) |
(* z (- (+ (cos y) (+ (* 2 (/ (sin y) z)) (+ (* 2 (/ (pow (sin y) 2) (* (pow z 2) (cos y)))) (+ (/ x z) (/ (pow (sin y) 2) (* (pow z 2) (cos y))))))) (+ (/ (sin y) z) (+ (/ (* (sin y) (- (sin y) x)) (* (pow z 2) (cos y))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 2) (pow (cos y) 2))) (/ (pow x 2) (* (pow z 2) (cos y)))))))) |
(* z (- (+ (cos y) (+ (* 2 (/ (sin y) z)) (+ (* 2 (/ (pow (sin y) 2) (* (pow z 2) (cos y)))) (+ (/ x z) (+ (/ (pow x 3) (* (pow z 3) (pow (cos y) 2))) (+ (/ (pow (sin y) 2) (* (pow z 2) (cos y))) (/ (pow (sin y) 3) (* (pow z 3) (pow (cos y) 2))))))))) (+ (/ (sin y) z) (+ (/ (* (sin y) (- (sin y) x)) (* (pow z 2) (cos y))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 2) (pow (cos y) 2))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (pow (sin y) 2) (cos y))) (/ (pow (sin y) 2) (cos y))) (+ (/ (* (sin y) (- (sin y) x)) (cos y)) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (pow (cos y) 2)) (/ (pow x 2) (cos y)))))) (* (pow z 3) (pow (cos y) 2))) (+ (/ (* (+ (* (sin y) (- (sin y) x)) (pow x 2)) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 3) (pow (cos y) 2))) (/ (pow x 2) (* (pow z 2) (cos y)))))))))) |
(* (pow z 3) (pow (cos y) 3)) |
(* (pow z 3) (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) z)) (+ (/ (* (pow (cos y) 2) (sin y)) z) (pow (cos y) 3)))) |
(* (pow z 3) (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (pow z 2))) (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) z)) (+ (/ (* (cos y) (pow (sin y) 2)) (pow z 2)) (+ (/ (* (pow (cos y) 2) (sin y)) z) (pow (cos y) 3)))))) |
(* (pow z 3) (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (pow z 2))) (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) z)) (+ (/ (* (cos y) (pow (sin y) 2)) (pow z 2)) (+ (/ (* (pow (cos y) 2) (sin y)) z) (+ (/ (pow x 3) (pow z 3)) (+ (/ (pow (sin y) 3) (pow z 3)) (pow (cos y) 3)))))))) |
(* (pow z 3) (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (pow z 2))) (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) z)) (+ (/ (* (cos y) (pow (sin y) 2)) (pow z 2)) (+ (/ (* (pow (cos y) 2) (sin y)) z) (+ (/ (pow (sin y) 3) (pow z 3)) (pow (cos y) 3))))))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (+ (/ (* (cos y) (sin y)) z) (+ (/ (* (cos y) (- (sin y) x)) z) (pow (cos y) 2)))) |
(* (pow z 2) (+ (/ (* (cos y) (sin y)) z) (+ (/ (* (cos y) (- (sin y) x)) z) (+ (/ (* (sin y) (- (sin y) x)) (pow z 2)) (+ (/ (pow x 2) (pow z 2)) (pow (cos y) 2)))))) |
(* -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 (+ 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))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (sin y) (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin y) 2) (cos y))) (* -1 (/ (pow (sin y) 2) (cos y)))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (cos y))) (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2)))) z)) (* 2 (sin y)))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (sin y) (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin y) 2) (cos y))) (+ (* -1 (/ (- (+ (/ (pow x 3) (pow (cos y) 2)) (/ (pow (sin y) 3) (pow (cos y) 2))) (+ (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (* -2 (/ (pow (sin y) 2) (cos y))) (* -1 (/ (pow (sin y) 2) (cos y)))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (cos y))) (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2))))) (pow (cos y) 2)) (/ (* (+ (* (sin y) (- (sin y) x)) (pow x 2)) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2)))) z)) (* -1 (/ (pow (sin y) 2) (cos y))))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (cos y))) (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2)))) z)) (* 2 (sin y)))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y)))) z))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) z)) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (cos y) (pow (sin y) 2))) (* -1 (* (cos y) (pow (sin y) 2)))) z)) (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) z)) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (cos y) (pow (sin y) 2))) (+ (* -1 (* (cos y) (pow (sin y) 2))) (* -1 (/ (+ (pow x 3) (pow (sin y) 3)) z)))) z)) (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) z)) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (cos y) (pow (sin y) 2))) (+ (* -1 (* (cos y) (pow (sin y) 2))) (* -1 (/ (pow (sin y) 3) z)))) z)) (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) z)) (* -1 (pow (cos y) 3))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) z)) (pow (cos y) 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (+ (* -1 (* (cos y) (- (sin y) x))) (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) z)))) z)) (pow (cos y) 2))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | 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))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (* z (cos y)) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (pow (+ (* (cos y) z) (sin y)) 3) (+ (* (cos y) z) (sin y)) (cos y) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) |
| 5.0ms | 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))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (* z (cos y)) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (pow (+ (* (cos y) z) (sin y)) 3) (+ (* (cos y) z) (sin y)) (cos y) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) |
| 4.0ms | y | @ | 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))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (* z (cos y)) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (pow (+ (* (cos y) z) (sin y)) 3) (+ (* (cos y) z) (sin y)) (cos y) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) |
| 4.0ms | 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))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (* z (cos y)) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (pow (+ (* (cos y) z) (sin y)) 3) (+ (* (cos y) z) (sin y)) (cos y) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) |
| 4.0ms | 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))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (* z (cos y)) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (pow (+ (* (cos y) z) (sin y)) 3) (+ (* (cos y) z) (sin y)) (cos y) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 714 | 4708 |
| 1 | 2514 | 4283 |
| 0 | 8655 | 3976 |
| 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 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(pow (+ (sin y) (* z (cos y))) 3) |
(+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) |
(pow (+ (sin y) (* z (cos y))) 2) |
(+ (* -1 (* x (+ (sin y) (* z (cos y))))) (pow (+ (sin y) (* z (cos y))) 2)) |
(+ (* x (+ x (* -1 (+ (sin y) (* z (cos y)))))) (pow (+ (sin y) (* z (cos y))) 2)) |
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 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2)) (pow x 2)))) (* -1 (/ (+ (sin y) (* z (cos y))) x)))) |
(* x (- (+ 1 (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) (pow x 3)))) (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2)))))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))) |
(* -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 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) 1))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* z (cos y)))) x)))) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ x 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)))) |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(/ (+ (pow x 3) (pow z 3)) (+ (* z (- z x)) (pow x 2))) |
(+ (* y (- (+ (* 2 (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (/ (* (+ (pow x 3) (pow z 3)) (- (* 2 z) x)) (pow (+ (* z (- z x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* z (- z x)) (pow x 2))) (/ (pow z 3) (+ (* z (- z x)) (pow x 2))))) |
(+ (* y (- (+ (* 2 (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (+ (* y (- (+ (* -1/2 (/ (pow z 3) (+ (* z (- z x)) (pow x 2)))) (+ (* 2 (/ z (+ (* z (- z x)) (pow x 2)))) (/ (* z (+ 1 (* -1 (pow z 2)))) (+ (* z (- z x)) (pow x 2))))) (+ (/ (* (+ 1 (+ (* -1/2 (* z (- z x))) (* -1/2 (pow z 2)))) (+ (pow x 3) (pow z 3))) (pow (+ (* z (- z x)) (pow x 2)) 2)) (/ (* (- (* 2 z) x) (- (+ (* 2 (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (/ (* (+ (pow x 3) (pow z 3)) (- (* 2 z) x)) (pow (+ (* z (- z x)) (pow x 2)) 2)))) (+ (* z (- z x)) (pow x 2)))))) (/ (pow z 2) (+ (* z (- z x)) (pow x 2))))) (/ (* (+ (pow x 3) (pow z 3)) (- (* 2 z) x)) (pow (+ (* z (- z x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* z (- z x)) (pow x 2))) (/ (pow z 3) (+ (* z (- z x)) (pow x 2))))) |
(+ (* y (- (+ (* 2 (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (+ (* y (- (+ (* -1/2 (/ (pow z 3) (+ (* z (- z x)) (pow x 2)))) (+ (* 2 (/ z (+ (* z (- z x)) (pow x 2)))) (+ (* y (- (+ (* -2 (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (+ (* -1/6 (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (+ (/ 1 (+ (* z (- z x)) (pow x 2))) (/ (* z (+ (* -1 z) (* -1/3 z))) (+ (* z (- z x)) (pow x 2)))))) (+ (/ (* (+ 1 (+ (* -1/2 (* z (- z x))) (* -1/2 (pow z 2)))) (- (+ (* 2 (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (/ (* (+ (pow x 3) (pow z 3)) (- (* 2 z) x)) (pow (+ (* z (- z x)) (pow x 2)) 2)))) (+ (* z (- z x)) (pow x 2))) (+ (/ (* (+ (* -1 z) (+ (* -1/6 z) (* -1/6 (- z x)))) (+ (pow x 3) (pow z 3))) (pow (+ (* z (- z x)) (pow x 2)) 2)) (/ (* (- (* 2 z) x) (- (+ (* -1/2 (/ (pow z 3) (+ (* z (- z x)) (pow x 2)))) (+ (* 2 (/ z (+ (* z (- z x)) (pow x 2)))) (/ (* z (+ 1 (* -1 (pow z 2)))) (+ (* z (- z x)) (pow x 2))))) (+ (/ (* (+ 1 (+ (* -1/2 (* z (- z x))) (* -1/2 (pow z 2)))) (+ (pow x 3) (pow z 3))) (pow (+ (* z (- z x)) (pow x 2)) 2)) (/ (* (- (* 2 z) x) (- (+ (* 2 (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (/ (* (+ (pow x 3) (pow z 3)) (- (* 2 z) x)) (pow (+ (* z (- z x)) (pow x 2)) 2)))) (+ (* z (- z x)) (pow x 2)))))) (+ (* z (- z x)) (pow x 2))))))) (/ (* z (+ 1 (* -1 (pow z 2)))) (+ (* z (- z x)) (pow x 2)))))) (+ (/ (* (+ 1 (+ (* -1/2 (* z (- z x))) (* -1/2 (pow z 2)))) (+ (pow x 3) (pow z 3))) (pow (+ (* z (- z x)) (pow x 2)) 2)) (/ (* (- (* 2 z) x) (- (+ (* 2 (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (/ (* (+ (pow x 3) (pow z 3)) (- (* 2 z) x)) (pow (+ (* z (- z x)) (pow x 2)) 2)))) (+ (* z (- z x)) (pow x 2)))))) (/ (pow z 2) (+ (* z (- z x)) (pow x 2))))) (/ (* (+ (pow x 3) (pow z 3)) (- (* 2 z) x)) (pow (+ (* z (- z x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* z (- z x)) (pow x 2))) (/ (pow z 3) (+ (* z (- z x)) (pow x 2))))) |
(+ (pow x 3) (pow z 3)) |
(+ (* y (+ (* 2 (pow z 2)) (pow z 2))) (+ (pow x 3) (pow z 3))) |
(+ (* y (+ (* 2 (pow z 2)) (+ (* y (+ (* -1/2 (pow z 3)) (+ (* 2 z) (* z (+ 1 (* -1 (pow z 2))))))) (pow z 2)))) (+ (pow x 3) (pow z 3))) |
(+ (* y (+ (* 2 (pow z 2)) (+ (* y (+ (* -1/2 (pow z 3)) (+ (* 2 z) (+ (* y (+ 1 (+ (* -2 (pow z 2)) (+ (* -1/6 (pow z 2)) (* z (+ (* -1 z) (* -1/3 z))))))) (* z (+ 1 (* -1 (pow z 2)))))))) (pow z 2)))) (+ (pow x 3) (pow z 3))) |
(pow z 3) |
(+ (* y (+ (* 2 (pow z 2)) (pow z 2))) (pow z 3)) |
(+ (* y (+ (* 2 (pow z 2)) (+ (* y (+ (* -1/2 (pow z 3)) (+ (* 2 z) (* z (+ 1 (* -1 (pow z 2))))))) (pow z 2)))) (pow z 3)) |
(+ (* y (+ (* 2 (pow z 2)) (+ (* y (+ (* -1/2 (pow z 3)) (+ (* 2 z) (+ (* y (+ 1 (+ (* -2 (pow z 2)) (+ (* -1/6 (pow z 2)) (* z (+ (* -1 z) (* -1/3 z))))))) (* z (+ 1 (* -1 (pow z 2)))))))) (pow z 2)))) (pow z 3)) |
(+ y z) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ (* z (- z x)) (pow x 2)) |
(+ (* y (- (* 2 z) x)) (+ (* z (- z x)) (pow x 2))) |
(+ (* y (- (+ (* 2 z) (* y (+ 1 (+ (* -1/2 (* z (- z x))) (* -1/2 (pow z 2)))))) x)) (+ (* z (- z x)) (pow x 2))) |
(+ (* y (- (+ (* 2 z) (* y (+ 1 (+ (* -1/2 (* z (- z x))) (+ (* -1/2 (pow z 2)) (* y (+ (* -1 z) (+ (* -1/6 z) (* -1/6 (- z x)))))))))) x)) (+ (* z (- z x)) (pow x 2))) |
(cos 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)) (+ (/ x (pow y 3)) (/ 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)) |
(* -1/6 y) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* z (cos y)) |
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2))) |
(+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2)) |
(* -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 (/ (+ x 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 (+ (* 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)))) |
(/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (pow x 2))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (/ (pow (cos y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2)))))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(+ (pow x 3) (pow (sin y) 3)) |
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (* (cos y) (pow (sin y) 2)))) (+ (pow x 3) (pow (sin y) 3))) |
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (+ (* z (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) (* (cos y) (pow (sin y) 2))))) (+ (pow x 3) (pow (sin y) 3))) |
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (+ (* z (+ (* 2 (* (pow (cos y) 2) (sin y))) (+ (* z (pow (cos y) 3)) (* (pow (cos y) 2) (sin y))))) (* (cos y) (pow (sin y) 2))))) (+ (pow x 3) (pow (sin y) 3))) |
(pow (sin y) 3) |
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (* (cos y) (pow (sin y) 2)))) (pow (sin y) 3)) |
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (+ (* z (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) (* (cos y) (pow (sin y) 2))))) (pow (sin y) 3)) |
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (+ (* z (+ (* 2 (* (pow (cos y) 2) (sin y))) (+ (* z (pow (cos y) 3)) (* (pow (cos y) 2) (sin y))))) (* (cos y) (pow (sin y) 2))))) (pow (sin y) 3)) |
(+ (* (sin y) (- (sin y) x)) (pow x 2)) |
(+ (* z (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) |
(+ (* z (+ (* z (pow (cos y) 2)) (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))))) (+ (* (sin y) (- (sin y) x)) (pow x 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 (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* z (- (+ (cos y) (+ (* 2 (/ (sin y) z)) (/ x z))) (/ (sin y) z))) |
(* z (- (+ (cos y) (+ (* 2 (/ (sin y) z)) (+ (* 2 (/ (pow (sin y) 2) (* (pow z 2) (cos y)))) (+ (/ x z) (/ (pow (sin y) 2) (* (pow z 2) (cos y))))))) (+ (/ (sin y) z) (+ (/ (* (sin y) (- (sin y) x)) (* (pow z 2) (cos y))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 2) (pow (cos y) 2))) (/ (pow x 2) (* (pow z 2) (cos y)))))))) |
(* z (- (+ (cos y) (+ (* 2 (/ (sin y) z)) (+ (* 2 (/ (pow (sin y) 2) (* (pow z 2) (cos y)))) (+ (/ x z) (+ (/ (pow x 3) (* (pow z 3) (pow (cos y) 2))) (+ (/ (pow (sin y) 2) (* (pow z 2) (cos y))) (/ (pow (sin y) 3) (* (pow z 3) (pow (cos y) 2))))))))) (+ (/ (sin y) z) (+ (/ (* (sin y) (- (sin y) x)) (* (pow z 2) (cos y))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 2) (pow (cos y) 2))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (pow (sin y) 2) (cos y))) (/ (pow (sin y) 2) (cos y))) (+ (/ (* (sin y) (- (sin y) x)) (cos y)) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (pow (cos y) 2)) (/ (pow x 2) (cos y)))))) (* (pow z 3) (pow (cos y) 2))) (+ (/ (* (+ (* (sin y) (- (sin y) x)) (pow x 2)) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 3) (pow (cos y) 2))) (/ (pow x 2) (* (pow z 2) (cos y)))))))))) |
(* (pow z 3) (pow (cos y) 3)) |
(* (pow z 3) (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) z)) (+ (/ (* (pow (cos y) 2) (sin y)) z) (pow (cos y) 3)))) |
(* (pow z 3) (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (pow z 2))) (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) z)) (+ (/ (* (cos y) (pow (sin y) 2)) (pow z 2)) (+ (/ (* (pow (cos y) 2) (sin y)) z) (pow (cos y) 3)))))) |
(* (pow z 3) (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (pow z 2))) (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) z)) (+ (/ (* (cos y) (pow (sin y) 2)) (pow z 2)) (+ (/ (* (pow (cos y) 2) (sin y)) z) (+ (/ (pow x 3) (pow z 3)) (+ (/ (pow (sin y) 3) (pow z 3)) (pow (cos y) 3)))))))) |
(* (pow z 3) (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (pow z 2))) (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) z)) (+ (/ (* (cos y) (pow (sin y) 2)) (pow z 2)) (+ (/ (* (pow (cos y) 2) (sin y)) z) (+ (/ (pow (sin y) 3) (pow z 3)) (pow (cos y) 3))))))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (+ (/ (* (cos y) (sin y)) z) (+ (/ (* (cos y) (- (sin y) x)) z) (pow (cos y) 2)))) |
(* (pow z 2) (+ (/ (* (cos y) (sin y)) z) (+ (/ (* (cos y) (- (sin y) x)) z) (+ (/ (* (sin y) (- (sin y) x)) (pow z 2)) (+ (/ (pow x 2) (pow z 2)) (pow (cos y) 2)))))) |
(* -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 (+ 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))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (sin y) (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin y) 2) (cos y))) (* -1 (/ (pow (sin y) 2) (cos y)))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (cos y))) (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2)))) z)) (* 2 (sin y)))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (sin y) (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin y) 2) (cos y))) (+ (* -1 (/ (- (+ (/ (pow x 3) (pow (cos y) 2)) (/ (pow (sin y) 3) (pow (cos y) 2))) (+ (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (* -2 (/ (pow (sin y) 2) (cos y))) (* -1 (/ (pow (sin y) 2) (cos y)))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (cos y))) (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2))))) (pow (cos y) 2)) (/ (* (+ (* (sin y) (- (sin y) x)) (pow x 2)) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2)))) z)) (* -1 (/ (pow (sin y) 2) (cos y))))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (cos y))) (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2)))) z)) (* 2 (sin y)))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y)))) z))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) z)) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (cos y) (pow (sin y) 2))) (* -1 (* (cos y) (pow (sin y) 2)))) z)) (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) z)) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (cos y) (pow (sin y) 2))) (+ (* -1 (* (cos y) (pow (sin y) 2))) (* -1 (/ (+ (pow x 3) (pow (sin y) 3)) z)))) z)) (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) z)) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (cos y) (pow (sin y) 2))) (+ (* -1 (* (cos y) (pow (sin y) 2))) (* -1 (/ (pow (sin y) 3) z)))) z)) (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) z)) (* -1 (pow (cos y) 3))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) z)) (pow (cos y) 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (+ (* -1 (* (cos y) (- (sin y) x))) (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) z)))) z)) (pow (cos y) 2))) |
| 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 (* 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) |
(+ 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)) |
(pow (+ (sin y) (* z (cos y))) 3) |
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) |
(+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) |
(pow (+ (sin y) (* z (cos y))) 2) |
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) |
(+ (* -1 (* x (+ (sin y) (* z (cos y))))) (pow (+ (sin y) (* z (cos y))) 2)) |
(*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (fma.f64 #s(literal -1 binary64) x (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(+ (* x (+ x (* -1 (+ (sin y) (* z (cos y)))))) (pow (+ (sin y) (* z (cos y))) 2)) |
(fma.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 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 (+ 1 (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(* x (+ 1 (/ z x))) |
(fma.f64 (/.f64 z x) x x) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(fma.f64 (/.f64 (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) x) x x) |
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2)) (pow x 2)))) (* -1 (/ (+ (sin y) (* z (cos y))) x)))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
(* x (- (+ 1 (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) (pow x 3)))) (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2)))))) |
(*.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))) |
(*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)) (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x))) (*.f64 x x)) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 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 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (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) (neg.f64 x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))) (neg.f64 x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))) (neg.f64 x)) #s(literal 1 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) 1))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* z (cos y)))) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) x) #s(literal -1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))) x)) (*.f64 x 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 x z)) |
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(* z (- (+ (cos y) (+ (* 2 (/ (sin y) z)) (+ (* 2 (/ (pow (sin y) 2) (* (pow z 2) (cos y)))) (+ (/ x z) (+ (/ (pow x 3) (* (pow z 3) (pow (cos y) 2))) (+ (/ (pow (sin y) 2) (* (pow z 2) (cos y))) (/ (pow (sin y) 3) (* (pow z 3) (pow (cos y) 2))))))))) (+ (/ (sin y) z) (+ (/ (* (sin y) (- (sin y) x)) (* (pow z 2) (cos y))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 2) (pow (cos y) 2))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (pow (sin y) 2) (cos y))) (/ (pow (sin y) 2) (cos y))) (+ (/ (* (sin y) (- (sin y) x)) (cos y)) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (pow (cos y) 2)) (/ (pow x 2) (cos y)))))) (* (pow z 3) (pow (cos y) 2))) (+ (/ (* (+ (* (sin y) (- (sin y) x)) (pow x 2)) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 3) (pow (cos y) 2))) (/ (pow x 2) (* (pow z 2) (cos y)))))))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (cos.f64 y)))) (+.f64 (+.f64 (/.f64 x z) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 y) (*.f64 z z)) (/.f64 (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (cos.f64 y)) (/.f64 (sin.f64 y) z)) (fma.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (-.f64 (sin.f64 y) x) (*.f64 z z)) (fma.f64 (*.f64 (cos.f64 y) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (+.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (sin.f64 y) x) (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y))) (fma.f64 (*.f64 (cos.f64 y) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (sin.f64 y) x) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) (cos.f64 y)))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (sin.f64 y) x) (sin.f64 y)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (/.f64 x (*.f64 z z)) (/.f64 x (cos.f64 y))))))) z) |
(* (pow z 3) (pow (cos y) 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) |
(* (pow z 3) (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) z)) (+ (/ (* (pow (cos y) 2) (sin y)) z) (pow (cos y) 3)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (sin.f64 y) z)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) |
(* (pow z 3) (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (pow z 2))) (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) z)) (+ (/ (* (cos y) (pow (sin y) 2)) (pow z 2)) (+ (/ (* (pow (cos y) 2) (sin y)) z) (pow (cos y) 3)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 y)) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (/.f64 (cos.f64 y) z) (fma.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (sin.f64 y) z)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (pow.f64 z #s(literal 3 binary64))) |
(* (pow z 3) (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (pow z 2))) (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) z)) (+ (/ (* (cos y) (pow (sin y) 2)) (pow z 2)) (+ (/ (* (pow (cos y) 2) (sin y)) z) (+ (/ (pow x 3) (pow z 3)) (+ (/ (pow (sin y) 3) (pow z 3)) (pow (cos y) 3)))))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (/.f64 (cos.f64 y) z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (sin.f64 y) z))) (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (/.f64 (cos.f64 y) z) (+.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 3 binary64))) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))) (pow.f64 z #s(literal 3 binary64))) |
(* (pow z 3) (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (pow z 2))) (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) z)) (+ (/ (* (cos y) (pow (sin y) 2)) (pow z 2)) (+ (/ (* (pow (cos y) 2) (sin y)) z) (+ (/ (pow (sin y) 3) (pow z 3)) (pow (cos y) 3))))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (/.f64 (cos.f64 y) z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (sin.f64 y) z))) (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (/.f64 (cos.f64 y) z) (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 3 binary64))))) (pow.f64 z #s(literal 3 binary64))) |
(* z (+ (cos y) (/ (sin y) z))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(* (pow z 2) (pow (cos y) 2)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z)) |
(* (pow z 2) (+ (/ (* (cos y) (sin y)) z) (+ (/ (* (cos y) (- (sin y) x)) z) (pow (cos y) 2)))) |
(*.f64 (+.f64 (/.f64 (*.f64 (cos.f64 y) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z)) |
(* (pow z 2) (+ (/ (* (cos y) (sin y)) z) (+ (/ (* (cos y) (- (sin y) x)) z) (+ (/ (* (sin y) (- (sin y) x)) (pow z 2)) (+ (/ (pow x 2) (pow z 2)) (pow (cos y) 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (*.f64 (cos.f64 y) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) z) (/.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) (*.f64 z z))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y))) (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(*.f64 (-.f64 (/.f64 x (neg.f64 z)) #s(literal 1 binary64)) (neg.f64 z)) |
(* -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 (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x) (neg.f64 z))) #s(literal 1 binary64)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (neg.f64 z))) (neg.f64 z)) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(*.f64 (fma.f64 (/.f64 y z) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y)))) z))))) |
(*.f64 (-.f64 (neg.f64 (cos.f64 y)) (/.f64 (fma.f64 #s(literal 3 binary64) (sin.f64 y) (/.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (cos.f64 y))) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (sin y) (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin y) 2) (cos y))) (* -1 (/ (pow (sin y) 2) (cos y)))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (cos y))) (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2)))) z)) (* 2 (sin y)))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y)))) z))))) |
(*.f64 (-.f64 (neg.f64 (cos.f64 y)) (/.f64 (+.f64 (fma.f64 #s(literal 3 binary64) (sin.f64 y) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) #s(literal -3 binary64)) (fma.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (/.f64 (fma.f64 #s(literal 3 binary64) (sin.f64 y) (/.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (cos.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) (neg.f64 (cos.f64 y))))) (neg.f64 z))) (/.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (cos.f64 y))) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (sin y) (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin y) 2) (cos y))) (+ (* -1 (/ (- (+ (/ (pow x 3) (pow (cos y) 2)) (/ (pow (sin y) 3) (pow (cos y) 2))) (+ (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (* -2 (/ (pow (sin y) 2) (cos y))) (* -1 (/ (pow (sin y) 2) (cos y)))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (cos y))) (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2))))) (pow (cos y) 2)) (/ (* (+ (* (sin y) (- (sin y) x)) (pow x 2)) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2)))) z)) (* -1 (/ (pow (sin y) 2) (cos y))))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (cos y))) (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2)))) z)) (* 2 (sin y)))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y)))) z))))) |
(*.f64 (-.f64 (neg.f64 (cos.f64 y)) (/.f64 (+.f64 (fma.f64 #s(literal 3 binary64) (sin.f64 y) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) (sin.f64 y) (/.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (cos.f64 y))) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) #s(literal -3 binary64)) (fma.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (/.f64 (fma.f64 #s(literal 3 binary64) (sin.f64 y) (/.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (cos.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) (neg.f64 (cos.f64 y))))) (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 z))) (fma.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (/.f64 (fma.f64 #s(literal 3 binary64) (sin.f64 y) (/.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (cos.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) (neg.f64 (cos.f64 y))))) (neg.f64 z))) (/.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (cos.f64 y))) z)) (neg.f64 z)) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) z)) (* -1 (pow (cos y) 3))))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (sin.f64 y) z)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (cos y) (pow (sin y) 2))) (* -1 (* (cos y) (pow (sin y) 2)))) z)) (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) z)) (* -1 (pow (cos y) 3))))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) #s(literal -3 binary64)) (neg.f64 z))) (neg.f64 z)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (cos y) (pow (sin y) 2))) (+ (* -1 (* (cos y) (pow (sin y) 2))) (* -1 (/ (+ (pow x 3) (pow (sin y) 3)) z)))) z)) (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) z)) (* -1 (pow (cos y) 3))))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) #s(literal -3 binary64) (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 z))) (neg.f64 z))) (neg.f64 z)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (cos y) (pow (sin y) 2))) (+ (* -1 (* (cos y) (pow (sin y) 2))) (* -1 (/ (pow (sin y) 3) z)))) z)) (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) z)) (* -1 (pow (cos y) 3))))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) #s(literal -3 binary64) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (neg.f64 z))) (neg.f64 z))) (neg.f64 z)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z)) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) z)) (pow (cos y) 2))) |
(*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (/.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (neg.f64 z))) (*.f64 z z)) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (+ (* -1 (* (cos y) (- (sin y) x))) (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) z)))) z)) (pow (cos y) 2))) |
(*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y)) (/.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) (neg.f64 z))) (neg.f64 z))) (*.f64 z z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 200 |
| 0 | 66 | 198 |
| 1 | 312 | 198 |
| 2 | 2609 | 198 |
| 0 | 8558 | 197 |
| 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 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(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)) |
(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)) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(+.f64 x (sin.f64 y)) |
(*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) |
(+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
#s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (fma.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (*.f64 (fma.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (+.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (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 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (-.f64 (*.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 x (sin.f64 y)) (*.f64 (neg.f64 (cos.f64 y)) z)) |
(-.f64 (+.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))) |
(+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) |
(+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (sin.f64 y)) |
(+.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.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)))) |
(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))) |
(+.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 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 (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 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (sin.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (sin.f64 y) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) |
(/.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 2 binary64)) (*.f64 x x)) (-.f64 (sin.f64 y) x)) |
(/.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 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)))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (sin.f64 y)) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (sin.f64 y)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 y)) |
(-.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)))) |
(-.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 (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 3 binary64)) (fma.f64 x (-.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (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 x (sin.f64 y)) |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
(/.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)) |
(/.f64 (neg.f64 (*.f64 (+.f64 x z) (-.f64 z x))) (neg.f64 (-.f64 z x))) |
(/.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))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) z) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) z) |
(fma.f64 (sqrt.f64 x) (sqrt.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 (-.f64 x z) (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(+.f64 x z) |
(+.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 x z))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 (+.f64 x z) (-.f64 (+.f64 x z) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y) #s(literal 2 binary64))) (*.f64 (fma.f64 (+.f64 x z) (-.f64 (+.f64 x z) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y) #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 x z) (-.f64 (+.f64 x z) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y) #s(literal 2 binary64))) (fma.f64 (+.f64 x z) (-.f64 (+.f64 x z) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (-.f64 x z) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y) #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 z z)))) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y) #s(literal 1 binary64)) (-.f64 x z))) |
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#s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (pow.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (pow.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (pow.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (pow.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) (*.f64 (neg.f64 x) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 (neg.f64 x) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (pow.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 (neg.f64 x) x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) (*.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (pow.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(fma.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 x x)) |
(fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (*.f64 x x)) |
(fma.f64 x x (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64)) (fma.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 (neg.f64 x) x)))) |
(-.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(-.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (pow.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (pow.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(+.f64 (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
Compiled 32 873 to 2 630 computations (92% saved)
20 alts after pruning (18 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 692 | 16 | 708 |
| Fresh | 7 | 2 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 702 | 20 | 722 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| ▶ | 99.9% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) |
| 75.0% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) | |
| ▶ | 59.7% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) |
| 82.4% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) | |
| 11.7% | (/.f64 #s(approx (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) | |
| 12.0% | (/.f64 #s(approx (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (sin.f64 y) z)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x 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)))))))) | |
| 51.8% | (*.f64 (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (fma.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 x x)))) | |
| 59.9% | #s(approx (+ (+ x (sin y)) (* z (cos 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 (+.f64 z x))) | |
| 14.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) z)) | |
| ▶ | 30.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)) |
| 55.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) | |
| ▶ | 53.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
| 32.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) | |
| ▶ | 66.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
| ✓ | 65.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 25.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) | |
| 56.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) | |
| 54.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
Compiled 969 to 601 computations (38% saved)
| 1× | egg-herbie |
Found 18 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 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)) | |
| cost-diff | 3 | (fma.f64 (sqrt.f64 x) (sqrt.f64 x) z) | |
| cost-diff | 0 | (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) | |
| cost-diff | 0 | (+.f64 z y) | |
| cost-diff | 0 | (+.f64 (+.f64 z y) x) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) | |
| cost-diff | 0 | #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) | |
| cost-diff | 3 | (fma.f64 (/.f64 (sin.f64 y) x) x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 208 |
| 0 | 56 | 202 |
| 1 | 113 | 202 |
| 2 | 273 | 199 |
| 3 | 752 | 193 |
| 4 | 1562 | 193 |
| 5 | 3340 | 193 |
| 6 | 5571 | 193 |
| 7 | 7621 | 193 |
| 0 | 8121 | 184 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) |
(cos.f64 y) |
y |
z |
#s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
(+.f64 (+.f64 z y) x) |
(+.f64 z y) |
z |
y |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)) |
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
(+.f64 z x) |
z |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z) |
(sqrt.f64 x) |
x |
z |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) |
(cos.f64 y) |
y |
z |
#s(approx (+ (sin y) x) (sin.f64 y)) |
(sin.f64 y) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) |
(fma.f64 z (cos.f64 y) #s(approx (+ (sin y) x) (+.f64 (sin.f64 y) x))) |
(cos.f64 y) |
y |
z |
#s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)) |
#s(approx (+ (sin y) x) (+.f64 (sin.f64 y) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(+.f64 (sin.f64 y) x) |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
(+.f64 (+.f64 z y) x) |
(+.f64 z y) |
z |
y |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 x z))) |
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)) |
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 x z)) |
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
(+.f64 z x) |
(+.f64 x z) |
z |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z) |
(+.f64 x z) |
(sqrt.f64 x) |
x |
z |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) |
(fma.f64 z (cos.f64 y) #s(approx (+ (sin y) x) (sin.f64 y))) |
(cos.f64 y) |
y |
z |
#s(approx (+ (sin y) x) (sin.f64 y)) |
(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 | 0.01953125 | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) | |
| accuracy | 17.587296784366373 | #s(approx (+ (sin y) x) (sin.f64 y)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.1484375 | (fma.f64 (sqrt.f64 x) (sqrt.f64 x) z) | |
| accuracy | 11.21545816952452 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)) | |
| accuracy | 0.01953125 | (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)) | |
| accuracy | 0.08984375 | (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) | |
| accuracy | 12.290371551921202 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) | |
| accuracy | 19.19977754016647 | #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) | |
| accuracy | 0.0 | (+.f64 (+.f64 z y) x) | |
| accuracy | 0.0 | (+.f64 z y) | |
| accuracy | 10.069089734867815 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) | |
| accuracy | 0.0 | #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)) | |
| accuracy | 0.01953125 | (fma.f64 (/.f64 (sin.f64 y) x) x x) | |
| accuracy | 0.01953125 | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) | |
| accuracy | 0.04296875 | (/.f64 (sin.f64 y) x) |
| 112.0ms | 123× | 0 | valid |
| 36.0ms | 133× | 0 | invalid |
Compiled 145 to 34 computations (76.6% saved)
ival-mult: 17.0ms (31.9% of total)ival-add: 14.0ms (26.2% of total)ival-sin: 8.0ms (15% of total)ival-cos: 6.0ms (11.2% of total)const: 4.0ms (7.5% of total)ival-div: 2.0ms (3.7% of total)ival-sqrt: 2.0ms (3.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) |
(cos.f64 y) |
#s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
(+.f64 (+.f64 z y) x) |
(+.f64 z y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)) |
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)) |
(sqrt.f64 x) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) |
#s(approx (+ (sin y) x) (sin.f64 y)) |
(sin.f64 y) |
(/.f64 (sin.f64 y) x) |
| Outputs |
|---|
(sin y) |
(+ x (sin y)) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ y z) |
(+ x (+ y z)) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
z |
(+ x z) |
(sqrt x) |
(/ (sin y) x) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (/ z x))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (/ z x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -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))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y 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))) |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(* -1/6 (pow y 2)) |
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)))) |
(/ y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(cos y) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (/ z 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)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6)) |
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -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 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y))))) |
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6)) |
(+ x (+ (* 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 (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (+ 1 (/ x z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* 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 (/ x z)) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | x | @ | -inf | ((+ (* (/ (sin y) x) x) x) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (+ (+ x (sin y)) (* z (cos y))) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (* (* y y) -1/6) (+ (* (sqrt x) (sqrt x)) z) (+ (+ x (sin y)) (* z (cos y))) (sqrt x) (+ (* (cos y) z) (+ (sin y) x)) (+ (sin y) x) (sin y) (/ (sin y) x)) |
| 2.0ms | x | @ | 0 | ((+ (* (/ (sin y) x) x) x) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (+ (+ x (sin y)) (* z (cos y))) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (* (* y y) -1/6) (+ (* (sqrt x) (sqrt x)) z) (+ (+ x (sin y)) (* z (cos y))) (sqrt x) (+ (* (cos y) z) (+ (sin y) x)) (+ (sin y) x) (sin y) (/ (sin y) x)) |
| 2.0ms | x | @ | inf | ((+ (* (/ (sin y) x) x) x) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (+ (+ x (sin y)) (* z (cos y))) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (* (* y y) -1/6) (+ (* (sqrt x) (sqrt x)) z) (+ (+ x (sin y)) (* z (cos y))) (sqrt x) (+ (* (cos y) z) (+ (sin y) x)) (+ (sin y) x) (sin y) (/ (sin y) x)) |
| 2.0ms | y | @ | inf | ((+ (* (/ (sin y) x) x) x) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (+ (+ x (sin y)) (* z (cos y))) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (* (* y y) -1/6) (+ (* (sqrt x) (sqrt x)) z) (+ (+ x (sin y)) (* z (cos y))) (sqrt x) (+ (* (cos y) z) (+ (sin y) x)) (+ (sin y) x) (sin y) (/ (sin y) x)) |
| 1.0ms | y | @ | -inf | ((+ (* (/ (sin y) x) x) x) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (+ (+ x (sin y)) (* z (cos y))) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (* (* y y) -1/6) (+ (* (sqrt x) (sqrt x)) z) (+ (+ x (sin y)) (* z (cos y))) (sqrt x) (+ (* (cos y) z) (+ (sin y) x)) (+ (sin y) x) (sin y) (/ (sin y) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 260 | 828 |
| 1 | 832 | 798 |
| 2 | 2959 | 789 |
| 0 | 8863 | 721 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sin y) |
(+ x (sin y)) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ y z) |
(+ x (+ y z)) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
z |
(+ x z) |
(sqrt x) |
(/ (sin y) x) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (/ z x))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (/ z x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -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))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y 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))) |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(* -1/6 (pow y 2)) |
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)))) |
(/ y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(cos y) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (/ z 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)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6)) |
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -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 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y))))) |
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6)) |
(+ x (+ (* 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 (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (+ 1 (/ x z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* 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 (/ x z)) 1))) |
| Outputs |
|---|
(sin y) |
(sin.f64 y) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) 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)) |
(+ y z) |
(+.f64 z y) |
(+ x (+ y z)) |
(+.f64 (+.f64 x y) z) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) x) |
z |
(+ x z) |
(+.f64 z x) |
(sqrt x) |
(sqrt.f64 x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
x |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) 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 (+ (/ y x) (/ z x)))) |
(fma.f64 (/.f64 (+.f64 z y) x) x x) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) x) x x) |
(* x (+ 1 (/ z x))) |
(fma.f64 (/.f64 z x) x x) |
(* -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 (/ (+ (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 (/ (+ y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 z y) (neg.f64 x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) (neg.f64 x)) #s(literal 1 binary64))) |
(* -1 (* x (pow (sqrt -1) 2))) |
x |
(* -1 (* x (+ (* -1 (/ z x)) (pow (sqrt -1) 2)))) |
(fma.f64 (/.f64 z x) x x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(+ 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) |
(+ 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)) |
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)) |
(+ 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 -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
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) |
(/ y x) |
(/.f64 y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(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)) x) (/.f64 y x)) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal -1/5040 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x)) (/.f64 y x)) |
(cos y) |
(cos.f64 y) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(fma.f64 (/.f64 (+.f64 z x) y) y y) |
(* y (+ 1 (/ z y))) |
(fma.f64 (/.f64 z y) y y) |
(* -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)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6)) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 z x) y) #s(literal 1 binary64)) (*.f64 y y)) (fma.f64 (/.f64 z y) #s(literal 1/2 binary64) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 3 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)) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 (neg.f64 z) x) y) #s(literal 1 binary64))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64))) |
(* -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 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y))))) |
(*.f64 (+.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) #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)) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) x) |
(+ 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 -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(fma.f64 (/.f64 (+.f64 x y) z) z 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 (+ 1 (* -1/6 (pow y 2)))) z))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) (+.f64 x y)) z)) z z) |
(* -1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal -1/2 binary64)) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) z) |
(* z (+ 1 (/ x z))) |
(fma.f64 (/.f64 x z) z 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 (/ (+ x y) z)) 1))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (-.f64 (neg.f64 y) x) z) #s(literal 1 binary64))) |
(* -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 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y)) x) z) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) z) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (neg.f64 x) z) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 184 |
| 0 | 56 | 178 |
| 1 | 263 | 178 |
| 2 | 2199 | 175 |
| 0 | 8612 | 163 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) |
(cos.f64 y) |
#s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
(+.f64 (+.f64 z y) x) |
(+.f64 z y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)) |
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)) |
(sqrt.f64 x) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) |
#s(approx (+ (sin y) x) (sin.f64 y)) |
(sin.f64 y) |
(/.f64 (sin.f64 y) x) |
| Outputs |
|---|
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) (*.f64 (fma.f64 (sin.f64 y) #s(literal 1 binary64) x) (*.f64 x x))) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))) (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))))) |
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))))) |
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x)))) |
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)))) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (/.f64 (sin.f64 y) x) (sqrt.f64 x)) (sqrt.f64 x) x) |
(fma.f64 (/.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) x) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (sin.f64 y) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (sin.f64 y) x)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(fma.f64 x (/.f64 (sin.f64 y) x) x) |
(fma.f64 (sin.f64 y) #s(literal 1 binary64) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x) |
(-.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))))) |
(+.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x) |
(+.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (sin y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (+ (sin y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) (*.f64 z (cos.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (sin y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) #s(approx (+ (sin y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (sin y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (sin y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) (-.f64 #s(approx (+ (sin y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) (*.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)) #s(approx (+ (sin y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) #s(approx (+ (sin y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))) (pow.f64 #s(approx (+ (sin y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) #s(approx (+ (sin y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))) (-.f64 (*.f64 z (cos.f64 y)) #s(approx (+ (sin y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 #s(approx (+ (sin y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) (-.f64 #s(approx (+ (sin y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(approx (+ (sin y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) (-.f64 #s(approx (+ (sin y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 #s(approx (+ (sin y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (+ (sin y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) (-.f64 #s(approx (+ (sin y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 #s(approx (+ (sin y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) (-.f64 #s(approx (+ (sin y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) |
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(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) #s(approx (+ (sin y) x) (sin.f64 y)))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) #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 z (cos.f64 y)) #s(approx (+ (sin y) x) (sin.f64 y))) (-.f64 (*.f64 z (cos.f64 y)) #s(approx (+ (sin y) x) (sin.f64 y))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 z (cos.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 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #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 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #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 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (-.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (sin y) x) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (-.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (sin y) x) (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) #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 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ (sin y) x) (sin.f64 y)) #s(approx (+ (sin y) x) (sin.f64 y)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) #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 z (cos.f64 y)) #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 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 #s(approx (+ (sin y) x) (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) #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 z (cos.f64 y)) #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 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) #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 z (cos.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 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) |
(fma.f64 z (cos.f64 y) #s(approx (+ (sin y) x) (sin.f64 y))) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) |
(-.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) #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 z (cos.f64 y)) #s(approx (+ (sin y) x) (sin.f64 y))))) |
(-.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (*.f64 (neg.f64 (cos.f64 y)) z)) |
(-.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z (cos.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 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #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 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 z (cos.f64 y)) #s(approx (+ (sin y) x) (sin.f64 y))) |
(+.f64 #s(approx (+ (sin y) x) (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ (sin y) x) (sin.f64 y)) |
(sin.f64 y) |
(/.f64 (neg.f64 (/.f64 (sin.f64 y) (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) x) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) x) |
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (neg.f64 (sin.f64 y)) x) |
(/.f64 (sin.f64 y) x) |
(neg.f64 (/.f64 (sin.f64 y) x)) |
Compiled 10 999 to 1 296 computations (88.2% saved)
27 alts after pruning (21 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 346 | 13 | 359 |
| Fresh | 5 | 8 | 13 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 352 | 27 | 379 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| ▶ | 75.0% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) |
| ✓ | 59.7% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) |
| 82.4% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) | |
| 82.4% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) | |
| 42.9% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) | |
| 11.7% | (/.f64 #s(approx (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) | |
| 12.0% | (/.f64 #s(approx (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (sin.f64 y) z)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x 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)))))))) |
| 51.8% | (*.f64 (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (fma.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 x x)))) | |
| 59.9% | #s(approx (+ (+ x (sin y)) (* z (cos 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 (+.f64 z x))) | |
| 11.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (-.f64 z x))) | |
| ✓ | 30.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)) |
| ▶ | 12.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) z)) |
| ✓ | 53.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
| 53.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) y (+.f64 z x))) | |
| 13.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (-.f64 z x) (-.f64 x z)) (-.f64 x z))) | |
| 26.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (-.f64 z x)) | |
| ✓ | 66.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
| 52.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y)) x)) | |
| ✓ | 65.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 32.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) | |
| 25.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) | |
| ▶ | 56.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 z x) x x))) |
| 54.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 x z) z z))) | |
| ▶ | 40.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) |
| 43.6% | #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) |
Compiled 1 153 to 729 computations (36.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | #s(approx (+ (sin y) x) (+.f64 x y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) | |
| cost-diff | 0 | (neg.f64 (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) z)) | |
| cost-diff | 4 | (fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) z) | |
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 z x) x x)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 z x) x x))) | |
| cost-diff | 3 | (fma.f64 (/.f64 z x) x x) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt x) (sqrt x)) z) x) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) | |
| cost-diff | 3 | (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) | |
| cost-diff | 3 | (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))))) | |
| cost-diff | 3 | (*.f64 #s(literal 0 binary64) (sin.f64 y)) | |
| cost-diff | 8 | (/.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)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 384 |
| 0 | 70 | 200 |
| 1 | 182 | 186 |
| 2 | 442 | 161 |
| 3 | 1629 | 161 |
| 4 | 6092 | 161 |
| 0 | 8422 | 157 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.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)))))))) |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 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))))))) |
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)))))) |
(+.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))) |
(pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 3 binary64)) |
(*.f64 #s(literal 0 binary64) (sin.f64 y)) |
#s(literal 0 binary64) |
#s(literal 3 binary64) |
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 3 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 y)) |
#s(literal 1 binary64) |
(cos.f64 y) |
(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))))) |
(-.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)))) |
(*.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))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) |
#s(approx (+ (* (sqrt x) (sqrt x)) z) x) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 z x) x x)) |
(fma.f64 (/.f64 z x) x x) |
(/.f64 z x) |
z |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) z)) |
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) z) |
(sqrt.f64 x) |
x |
(neg.f64 (sqrt.f64 x)) |
z |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) |
(cos.f64 y) |
y |
z |
#s(approx (+ (sin y) x) (+.f64 x y)) |
(+.f64 x y) |
x |
| Outputs |
|---|
(+.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)))))))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 x (sin.f64 y)) |
(+.f64 (sin.f64 y) x) |
x |
(sin.f64 y) |
y |
(*.f64 z (/.f64 (+.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))))))) |
(*.f64 (cos.f64 y) z) |
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)))))) |
(cos.f64 y) |
(+.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))) |
(pow.f64 (cos.f64 y) #s(literal 3 binary64)) |
(pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 3 binary64)) |
#s(literal 0 binary64) |
(*.f64 #s(literal 0 binary64) (sin.f64 y)) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 3 binary64) |
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 3 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 3 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 y)) |
(cos.f64 y) |
#s(literal 1 binary64) |
(cos.f64 y) |
(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))))) |
(*.f64 (cos.f64 y) (cos.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)))) |
(*.f64 (cos.f64 y) (cos.f64 y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(*.f64 (cos.f64 y) (cos.f64 y)) |
(*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
#s(literal 0 binary64) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) |
#s(approx (+ (* (sqrt x) (sqrt x)) z) x) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (+.f64 z x))) |
#s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 z x) x x)) |
#s(approx (+ (* (sqrt x) (sqrt x)) z) (+.f64 z x)) |
(fma.f64 (/.f64 z x) x x) |
(+.f64 z x) |
(/.f64 z x) |
z |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (-.f64 z x)) |
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) z) |
(-.f64 z x) |
(sqrt.f64 x) |
x |
(neg.f64 (sqrt.f64 x)) |
z |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) |
(cos.f64 y) |
y |
z |
#s(approx (+ (sin y) x) (+.f64 x y)) |
#s(approx (+ (sin y) x) (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.01953125 | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) | |
| accuracy | 9.712100427659985 | #s(approx (+ (sin y) x) (+.f64 x y)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.0 | (neg.f64 (sqrt.f64 x)) | |
| accuracy | 0.15625 | (fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) z) | |
| accuracy | 22.83366417425926 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) z)) | |
| accuracy | 0.0 | (/.f64 z x) | |
| accuracy | 0.0 | #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 z x) x x)) | |
| accuracy | 3.790055903515203 | (fma.f64 (/.f64 z x) x x) | |
| accuracy | 11.21545816952452 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 z x) x x))) | |
| accuracy | 11.21545816952452 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) | |
| accuracy | 13.976427149179095 | #s(approx (+ (* (sqrt x) (sqrt x)) z) x) | |
| accuracy | 0.0546875 | (*.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))))))) | |
| accuracy | 0.09375 | (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) | |
| accuracy | 0.10546875 | (/.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)))))) | |
| accuracy | 0.1559562988422101 | (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 3 binary64)) |
| 104.0ms | 123× | 0 | valid |
| 55.0ms | 133× | 0 | invalid |
Compiled 343 to 39 computations (88.6% saved)
ival-sin: 41.0ms (34.2% of total)ival-sub: 21.0ms (17.5% of total)ival-pow: 21.0ms (17.5% of total)ival-mult: 13.0ms (10.8% of total)ival-add: 12.0ms (10% of total)ival-cos: 5.0ms (4.2% of total)ival-div: 3.0ms (2.5% of total)ival-sqrt: 2.0ms (1.7% of total)ival-neg: 1.0ms (0.8% 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 (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)))))) |
(*.f64 #s(literal 0 binary64) (sin.f64 y)) |
(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))))) |
(*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) |
#s(approx (+ (* (sqrt x) (sqrt x)) z) x) |
(fma.f64 (/.f64 z x) x x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 z x) x x)) |
(/.f64 z x) |
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) z) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) z)) |
(sqrt.f64 x) |
(neg.f64 (sqrt.f64 x)) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) |
(cos.f64 y) |
#s(approx (+ (sin y) x) (+.f64 x y)) |
(+.f64 x y) |
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (cos.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 |
|---|
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
z |
(+ x z) |
(/ z x) |
(+ z (* -1 x)) |
(sqrt x) |
(* -1 (sqrt x)) |
(sin y) |
(+ x (sin y)) |
y |
(+ x y) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (/ z x))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (/ z x)) (pow (sqrt -1) 2)))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* x (pow (sqrt -1) 2)) |
(* -1 (* x (+ (* -1 (/ z x)) (* -1 (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
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))) |
0 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(+ 1 (* -3/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 7/8 (pow y 2)) 3/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/8 (* -61/240 (pow y 2)))) 3/2))) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(cos y) |
(pow (cos y) 2) |
(* y (+ 1 (/ x y))) |
(pow (cos y) 3) |
(* z (cos y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (/ x z) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (+ (pow (* 0 (sin y)) 3) (pow (* 1 (cos y)) 3)) (+ (* (* 0 (sin y)) (* 0 (sin y))) (- (* (* 1 (cos y)) (* 1 (cos y))) (* (* 0 (sin y)) (* 1 (cos y)))))) (* 0 (sin y)) (+ (* (* 0 (sin y)) (* 0 (sin y))) (- (* (* 1 (cos y)) (* 1 (cos y))) (* (* 0 (sin y)) (* 1 (cos y))))) (* (* 0 (sin y)) (* 1 (cos y))) (+ (+ x (sin y)) (* z (cos y))) (+ (* (sqrt x) (sqrt x)) z) (+ (* (/ z x) x) x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (sqrt x) (sqrt x)) z) (/ z x) (+ (* (sqrt x) (neg (sqrt x))) z) (+ (+ x (sin y)) (* z (cos y))) (sqrt x) (neg (sqrt x)) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (+ x y) (pow (* 1 (cos y)) 3) (* (* 1 (cos y)) (* 1 (cos y))) (* z (/ (+ (pow (* 0 (sin y)) 3) (pow (* 1 (cos y)) 3)) (+ (* (* 0 (sin y)) (* 0 (sin y))) (- (* (* 1 (cos y)) (* 1 (cos y))) (* (* 0 (sin y)) (* 1 (cos y)))))))) |
| 2.0ms | z | @ | -inf | ((/ (+ (pow (* 0 (sin y)) 3) (pow (* 1 (cos y)) 3)) (+ (* (* 0 (sin y)) (* 0 (sin y))) (- (* (* 1 (cos y)) (* 1 (cos y))) (* (* 0 (sin y)) (* 1 (cos y)))))) (* 0 (sin y)) (+ (* (* 0 (sin y)) (* 0 (sin y))) (- (* (* 1 (cos y)) (* 1 (cos y))) (* (* 0 (sin y)) (* 1 (cos y))))) (* (* 0 (sin y)) (* 1 (cos y))) (+ (+ x (sin y)) (* z (cos y))) (+ (* (sqrt x) (sqrt x)) z) (+ (* (/ z x) x) x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (sqrt x) (sqrt x)) z) (/ z x) (+ (* (sqrt x) (neg (sqrt x))) z) (+ (+ x (sin y)) (* z (cos y))) (sqrt x) (neg (sqrt x)) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (+ x y) (pow (* 1 (cos y)) 3) (* (* 1 (cos y)) (* 1 (cos y))) (* z (/ (+ (pow (* 0 (sin y)) 3) (pow (* 1 (cos y)) 3)) (+ (* (* 0 (sin y)) (* 0 (sin y))) (- (* (* 1 (cos y)) (* 1 (cos y))) (* (* 0 (sin y)) (* 1 (cos y)))))))) |
| 1.0ms | z | @ | inf | ((/ (+ (pow (* 0 (sin y)) 3) (pow (* 1 (cos y)) 3)) (+ (* (* 0 (sin y)) (* 0 (sin y))) (- (* (* 1 (cos y)) (* 1 (cos y))) (* (* 0 (sin y)) (* 1 (cos y)))))) (* 0 (sin y)) (+ (* (* 0 (sin y)) (* 0 (sin y))) (- (* (* 1 (cos y)) (* 1 (cos y))) (* (* 0 (sin y)) (* 1 (cos y))))) (* (* 0 (sin y)) (* 1 (cos y))) (+ (+ x (sin y)) (* z (cos y))) (+ (* (sqrt x) (sqrt x)) z) (+ (* (/ z x) x) x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (sqrt x) (sqrt x)) z) (/ z x) (+ (* (sqrt x) (neg (sqrt x))) z) (+ (+ x (sin y)) (* z (cos y))) (sqrt x) (neg (sqrt x)) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (+ x y) (pow (* 1 (cos y)) 3) (* (* 1 (cos y)) (* 1 (cos y))) (* z (/ (+ (pow (* 0 (sin y)) 3) (pow (* 1 (cos y)) 3)) (+ (* (* 0 (sin y)) (* 0 (sin y))) (- (* (* 1 (cos y)) (* 1 (cos y))) (* (* 0 (sin y)) (* 1 (cos y)))))))) |
| 1.0ms | x | @ | inf | ((/ (+ (pow (* 0 (sin y)) 3) (pow (* 1 (cos y)) 3)) (+ (* (* 0 (sin y)) (* 0 (sin y))) (- (* (* 1 (cos y)) (* 1 (cos y))) (* (* 0 (sin y)) (* 1 (cos y)))))) (* 0 (sin y)) (+ (* (* 0 (sin y)) (* 0 (sin y))) (- (* (* 1 (cos y)) (* 1 (cos y))) (* (* 0 (sin y)) (* 1 (cos y))))) (* (* 0 (sin y)) (* 1 (cos y))) (+ (+ x (sin y)) (* z (cos y))) (+ (* (sqrt x) (sqrt x)) z) (+ (* (/ z x) x) x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (sqrt x) (sqrt x)) z) (/ z x) (+ (* (sqrt x) (neg (sqrt x))) z) (+ (+ x (sin y)) (* z (cos y))) (sqrt x) (neg (sqrt x)) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (+ x y) (pow (* 1 (cos y)) 3) (* (* 1 (cos y)) (* 1 (cos y))) (* z (/ (+ (pow (* 0 (sin y)) 3) (pow (* 1 (cos y)) 3)) (+ (* (* 0 (sin y)) (* 0 (sin y))) (- (* (* 1 (cos y)) (* 1 (cos y))) (* (* 0 (sin y)) (* 1 (cos y)))))))) |
| 1.0ms | y | @ | inf | ((/ (+ (pow (* 0 (sin y)) 3) (pow (* 1 (cos y)) 3)) (+ (* (* 0 (sin y)) (* 0 (sin y))) (- (* (* 1 (cos y)) (* 1 (cos y))) (* (* 0 (sin y)) (* 1 (cos y)))))) (* 0 (sin y)) (+ (* (* 0 (sin y)) (* 0 (sin y))) (- (* (* 1 (cos y)) (* 1 (cos y))) (* (* 0 (sin y)) (* 1 (cos y))))) (* (* 0 (sin y)) (* 1 (cos y))) (+ (+ x (sin y)) (* z (cos y))) (+ (* (sqrt x) (sqrt x)) z) (+ (* (/ z x) x) x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (sqrt x) (sqrt x)) z) (/ z x) (+ (* (sqrt x) (neg (sqrt x))) z) (+ (+ x (sin y)) (* z (cos y))) (sqrt x) (neg (sqrt x)) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (+ x y) (pow (* 1 (cos y)) 3) (* (* 1 (cos y)) (* 1 (cos y))) (* z (/ (+ (pow (* 0 (sin y)) 3) (pow (* 1 (cos y)) 3)) (+ (* (* 0 (sin y)) (* 0 (sin y))) (- (* (* 1 (cos y)) (* 1 (cos y))) (* (* 0 (sin y)) (* 1 (cos y)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 466 |
| 1 | 584 | 459 |
| 2 | 1915 | 455 |
| 3 | 5414 | 455 |
| 0 | 8279 | 419 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
z |
(+ x z) |
(/ z x) |
(+ z (* -1 x)) |
(sqrt x) |
(* -1 (sqrt x)) |
(sin y) |
(+ x (sin y)) |
y |
(+ x y) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (/ z x))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (/ z x)) (pow (sqrt -1) 2)))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* x (pow (sqrt -1) 2)) |
(* -1 (* x (+ (* -1 (/ z x)) (* -1 (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
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))) |
0 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(+ 1 (* -3/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 7/8 (pow y 2)) 3/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/8 (* -61/240 (pow y 2)))) 3/2))) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(cos y) |
(pow (cos y) 2) |
(* y (+ 1 (/ x y))) |
(pow (cos y) 3) |
(* z (cos y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (/ x z) 1))) |
| 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)) |
z |
(+ x z) |
(+.f64 z x) |
(/ z x) |
(/.f64 z x) |
(+ z (* -1 x)) |
(-.f64 z x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (sqrt x)) |
(neg.f64 (sqrt.f64 x)) |
(sin y) |
(sin.f64 y) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
y |
(+ x y) |
(+.f64 x y) |
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 (/ z x))) |
(fma.f64 (/.f64 z x) x x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ z x) 1)) |
(*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) 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 (-.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (pow (sqrt -1) 2))) |
x |
(* -1 (* x (+ (* -1 (/ z x)) (pow (sqrt -1) 2)))) |
(fma.f64 (/.f64 z x) x x) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(fma.f64 (/.f64 z x) x x) |
(* x (pow (sqrt -1) 2)) |
(neg.f64 x) |
(* -1 (* x (+ (* -1 (/ z x)) (* -1 (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 x)) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (-.f64 (/.f64 (sin.f64 y) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (-.f64 (/.f64 y (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x)) |
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)) |
0 |
#s(literal 0 binary64) |
(+ 1 (* -1 (pow y 2))) |
(fma.f64 (neg.f64 y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -2/45 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(+ 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 (+ 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)) |
(+ 1 (* -3/2 (pow y 2))) |
(fma.f64 #s(literal -3/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 7/8 (pow y 2)) 3/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 7/8 binary64) (*.f64 y y)) #s(literal 3/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/8 (* -61/240 (pow y 2)))) 3/2))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -61/240 binary64) (-.f64 (*.f64 #s(literal 7/8 binary64) (*.f64 y y)) #s(literal 3/2 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(+ 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)) |
(cos y) |
(cos.f64 y) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(pow (cos y) 3) |
(pow.f64 (cos.f64 y) #s(literal 3 binary64)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) 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) |
(* z (+ 1 (/ x z))) |
(fma.f64 (/.f64 x z) z z) |
(* z (+ 1 (* -1 (/ x z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) 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 (/ x z)) 1))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (neg.f64 x) z) #s(literal 1 binary64))) |
(* -1 (* z (- (/ x z) 1))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 x z) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 271 |
| 0 | 66 | 140 |
| 1 | 336 | 124 |
| 2 | 2367 | 121 |
| 0 | 8727 | 115 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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)))))) |
(*.f64 #s(literal 0 binary64) (sin.f64 y)) |
(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))))) |
(*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) |
#s(approx (+ (* (sqrt x) (sqrt x)) z) x) |
(fma.f64 (/.f64 z x) x x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 z x) x x)) |
(/.f64 z x) |
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) z) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) z)) |
(sqrt.f64 x) |
(neg.f64 (sqrt.f64 x)) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) |
(cos.f64 y) |
#s(approx (+ (sin y) x) (+.f64 x y)) |
(+.f64 x y) |
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (cos.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 |
|---|
(*.f64 (fabs.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(*.f64 (fabs.f64 (pow.f64 (cos.f64 y) #s(literal -3 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal -3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) |
(*.f64 #s(literal -1 binary64) (cos.f64 y)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (fabs.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fabs.f64 (/.f64 (cos.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (cos.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(*.f64 (cos.f64 y) #s(literal -1 binary64)) |
(*.f64 (cos.f64 y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 y)) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 5 binary64)))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/.f64 (fabs.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 5 binary64)))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) |
(/.f64 (fabs.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64))) (fabs.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64)))) |
(/.f64 (sqrt.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (cos.f64 y))) (sqrt.f64 (cos.f64 y))) |
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 y) y)) (cos.f64 (-.f64 (neg.f64 y) y)))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (-.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 y (neg.f64 y))) (cos.f64 (-.f64 y (neg.f64 y))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 y)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 y)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 5 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) |
(/.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)))) |
(/.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (fabs.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)))) |
(/.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 5 binary64))) |
(/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64)))) |
(/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) |
(/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (cos.f64 y)) |
(/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(neg.f64 (cos.f64 y)) |
(fma.f64 (fabs.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (fabs.f64 (pow.f64 (cos.f64 y) #s(literal -3 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64) (cos.f64 y)) |
(fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal -3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (cos.f64 y) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (fabs.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fabs.f64 (/.f64 (cos.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (cos.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (cos.f64 y) (cos.f64 (PI.f64)) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 (PI.f64)))) |
(fma.f64 (cos.f64 y) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) #s(literal 0 binary64)) |
(sin.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))) |
(sin.f64 (neg.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 y (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (acos.f64 (neg.f64 (sin.f64 y)))) |
(sin.f64 (acos.f64 (fabs.f64 (sin.f64 y)))) |
(sin.f64 (acos.f64 (sin.f64 y))) |
(sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) |
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (cos.f64 y)) |
(-.f64 (*.f64 (cos.f64 y) (cos.f64 (PI.f64))) (*.f64 (sin.f64 y) (sin.f64 (PI.f64)))) |
(-.f64 (*.f64 (cos.f64 y) (cos.f64 (PI.f64))) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 (PI.f64)))) |
(-.f64 (cos.f64 y) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (cos.f64 y)) |
(fabs.f64 (cos.f64 y)) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 y)))) |
(cos.f64 (neg.f64 (+.f64 (neg.f64 y) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 y (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 y) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 y (PI.f64)) (PI.f64))) |
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(-.f64 y x) |
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(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (cos.f64 y))) |
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(+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) |
(*.f64 (*.f64 z #s(literal 1 binary64)) (cos.f64 y)) |
(*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) (*.f64 #s(literal 1 binary64) z)) |
(*.f64 (cos.f64 y) z) |
(*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(fma.f64 z #s(literal 0 binary64) (*.f64 z (cos.f64 y))) |
(fma.f64 #s(literal 0 binary64) z (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 z #s(literal 0 binary64)) (*.f64 z (cos.f64 y))) |
Compiled 18 496 to 2 833 computations (84.7% saved)
36 alts after pruning (26 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 559 | 14 | 573 |
| Fresh | 4 | 12 | 16 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 564 | 36 | 600 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| ✓ | 75.0% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) |
| ✓ | 59.7% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) |
| 82.4% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) | |
| 82.4% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) | |
| 42.9% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) | |
| 99.8% | (+.f64 (+.f64 x (sin.f64 y)) (/.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) | |
| 99.8% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 (/.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) | |
| 99.9% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 5 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) | |
| 91.5% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) (sqrt.f64 #s(literal 2 binary64))))) | |
| 91.5% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 (asin.f64 (sin.f64 y))))) | |
| 59.9% | #s(approx (+ (+ x (sin y)) (* z (cos 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 (+.f64 z x))) | |
| 11.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (-.f64 z x))) | |
| ✓ | 30.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)) |
| ✓ | 12.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) z)) |
| ✓ | 53.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
| 20.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x z)) (*.f64 (-.f64 x z) (*.f64 z z))) (*.f64 (-.f64 x z) (-.f64 x z)))) | |
| 13.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (-.f64 z x) (-.f64 x z)) (-.f64 x z))) | |
| 26.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (-.f64 z x)) | |
| ✓ | 66.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
| 52.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y)) x)) | |
| ✓ | 65.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 32.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) | |
| 25.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) | |
| 26.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 x)) x x))) | |
| 19.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 (neg.f64 (/.f64 z (sqrt.f64 x))) (sqrt.f64 x)) x x))) | |
| 40.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 (neg.f64 z) x) x x))) | |
| ✓ | 56.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 z x) x x))) |
| 54.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 x z) z z))) | |
| 26.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (*.f64 (/.f64 z x) (sqrt.f64 x)) (sqrt.f64 x) x))) | |
| 40.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (-.f64 x (*.f64 z #s(literal 1 binary64))))) | |
| ✓ | 40.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) |
| 18.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x))) | |
| 26.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))) | |
| 2.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (neg.f64 x))) | |
| 43.6% | #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) |
Compiled 2 066 to 788 computations (61.9% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (neg.f64 x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#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))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (-.f64 x (*.f64 z #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 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 x) (fma.f64 (/.f64 x z) 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 (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 (neg.f64 z) x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos 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 (+.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))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (-.f64 z x) (-.f64 x z)) (-.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) 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))) (fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (*.f64 (/.f64 z x) (sqrt.f64 x)) (sqrt.f64 x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 x)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 (neg.f64 (/.f64 z (sqrt.f64 x))) (sqrt.f64 x)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x z)) (*.f64 (-.f64 x z) (*.f64 z z))) (*.f64 (-.f64 x z) (-.f64 x z)))) |
#s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) |
(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 (+ (sin y) x) (+.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)))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (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))) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x)) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) (sqrt.f64 #s(literal 2 binary64))))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 (asin.f64 (sin.f64 y))))) |
(+.f64 (+.f64 x (sin.f64 y)) (/.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 5 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) |
(/.f64 #s(approx (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (/.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) |
(/.f64 #s(approx (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (sin.f64 y) z)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) |
(*.f64 (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (fma.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 x x)))) |
(+.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)))))))) |
(*.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 (/.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)))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
4 calls:
| 36.0ms | x |
| 36.0ms | z |
| 30.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 14.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (neg.f64 x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#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))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (-.f64 x (*.f64 z #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 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 x) (fma.f64 (/.f64 x z) 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 (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 (neg.f64 z) x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos 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 (+.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))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (-.f64 z x) (-.f64 x z)) (-.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) 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))) (fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (*.f64 (/.f64 z x) (sqrt.f64 x)) (sqrt.f64 x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 x)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 (neg.f64 (/.f64 z (sqrt.f64 x))) (sqrt.f64 x)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x z)) (*.f64 (-.f64 x z) (*.f64 z z))) (*.f64 (-.f64 x z) (-.f64 x z)))) |
#s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) |
(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 (+ (sin y) x) (+.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)))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) |
| Outputs |
|---|
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
4 calls:
| 34.0ms | y |
| 26.0ms | z |
| 11.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.1% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 91.6% | 3 | x |
| 89.5% | 3 | y |
| 91.0% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (neg.f64 x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#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))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (-.f64 x (*.f64 z #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 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 x) (fma.f64 (/.f64 x z) 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 (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 (neg.f64 z) x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos 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 (+.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))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (-.f64 z x) (-.f64 x z)) (-.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) 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))) (fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (*.f64 (/.f64 z x) (sqrt.f64 x)) (sqrt.f64 x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 x)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 (neg.f64 (/.f64 z (sqrt.f64 x))) (sqrt.f64 x)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x z)) (*.f64 (-.f64 x z) (*.f64 z z))) (*.f64 (-.f64 x z) (-.f64 x z)))) |
#s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) |
(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 (+ (sin y) x) (+.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)))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) |
| Outputs |
|---|
#s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
#s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) |
2 calls:
| 48.0ms | x |
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.0% | 3 | z |
| 82.4% | 1 | x |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (neg.f64 x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#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))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (-.f64 x (*.f64 z #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 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 x) (fma.f64 (/.f64 x z) 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 (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 (neg.f64 z) x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos 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 (+.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))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (-.f64 z x) (-.f64 x z)) (-.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) 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))) (fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (*.f64 (/.f64 z x) (sqrt.f64 x)) (sqrt.f64 x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 x)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 (neg.f64 (/.f64 z (sqrt.f64 x))) (sqrt.f64 x)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x z)) (*.f64 (-.f64 x z) (*.f64 z z))) (*.f64 (-.f64 x z) (-.f64 x z)))) |
#s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) |
(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)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos 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 (+.f64 z x))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
4 calls:
| 18.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 9.0ms | x |
| 9.0ms | z |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.8% | 3 | x |
| 82.3% | 5 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 78.6% | 4 | y |
| 75.9% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (neg.f64 x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#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))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (-.f64 x (*.f64 z #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 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 x) (fma.f64 (/.f64 x z) 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 (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 (neg.f64 z) x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos 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 (+.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))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (-.f64 z x) (-.f64 x z)) (-.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) 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))) (fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (*.f64 (/.f64 z x) (sqrt.f64 x)) (sqrt.f64 x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 x)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 (neg.f64 (/.f64 z (sqrt.f64 x))) (sqrt.f64 x)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x z)) (*.f64 (-.f64 x z) (*.f64 z z))) (*.f64 (-.f64 x z) (-.f64 x z)))) |
#s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) |
| Outputs |
|---|
#s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos 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 (+.f64 z x))) |
#s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) |
3 calls:
| 23.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 9.0ms | x |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.6% | 4 | y |
| 76.7% | 4 | x |
| 72.1% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 11 to 14 computations (-27.3% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (neg.f64 x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#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))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (-.f64 x (*.f64 z #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 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 x) (fma.f64 (/.f64 x z) 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 (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 (neg.f64 z) x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos 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 (+.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))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (-.f64 z x) (-.f64 x z)) (-.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) 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))) (fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (*.f64 (/.f64 z x) (sqrt.f64 x)) (sqrt.f64 x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 x)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 (neg.f64 (/.f64 z (sqrt.f64 x))) (sqrt.f64 x)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x z)) (*.f64 (-.f64 x z) (*.f64 z z))) (*.f64 (-.f64 x z) (-.f64 x z)))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (-.f64 x (*.f64 z #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos 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 (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
3 calls:
| 25.0ms | y |
| 8.0ms | z |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.4% | 3 | x |
| 68.4% | 2 | z |
| 72.4% | 3 | y |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (neg.f64 x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#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))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (-.f64 x (*.f64 z #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 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 x) (fma.f64 (/.f64 x z) 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 (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (fma.f64 (/.f64 (neg.f64 z) x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y)) x)) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (-.f64 x (*.f64 z #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
1 calls:
| 21.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.3% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (neg.f64 x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#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))) (+.f64 (+.f64 z y) x)) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
2 calls:
| 2.0ms | y |
| 2.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.0% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 72.0% | 3 | y |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (neg.f64 x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (-.f64 z x)) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
4 calls:
| 2.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.3% | 1 | z |
| 69.1% | 3 | x |
| 65.3% | 1 | y |
| 68.5% | 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 (+ (* (sqrt x) (sqrt x)) z) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (neg.f64 x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) |
4 calls:
| 20.0ms | y |
| 2.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 2.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.0% | 3 | y |
| 54.2% | 3 | z |
| 44.6% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 61.7% | 3 | x |
Compiled 12 to 17 computations (-41.7% saved)
Total -24.9b remaining (-65.1%)
Threshold costs -24.9b (-65.1%)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (neg (sqrt x))) z) (neg.f64 x))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) |
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 |
|---|---|---|
| 40.2% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 40.2% | 1 | y |
| 40.2% | 1 | z |
| 40.2% | 1 | x |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 1.1611842672005046e-130 | 1.8149772580711256e-127 |
| 13.0ms | -8.042950000988159e-66 | -1.0303524822029485e-66 |
| 20.0ms | 223× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 424 to 360 computations (15.1% saved)
ival-sin: 6.0ms (43% of total)ival-cos: 4.0ms (28.6% of total)ival-add: 2.0ms (14.3% of total)ival-mult: 1.0ms (7.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 41.0ms | 3.471438648403779e+67 | 1.848008615373811e+80 |
| 38.0ms | -1.7364589973699642e+158 | -9.035991261405349e+151 |
| 68.0ms | 304× | 0 | valid |
Compiled 468 to 432 computations (7.7% saved)
ival-add: 45.0ms (74.9% of total)ival-sin: 7.0ms (11.7% of total)ival-cos: 6.0ms (10% of total)ival-mult: 2.0ms (3.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1219483.2617836853 | 210822023574887840.0 |
| 0.0ms | 3.001200553954736e-34 | 1.8902205794577845e-30 |
| 0.0ms | -0.08853671976506924 | -0.04170284662504538 |
| 0.0ms | -5.606722974420452 | -0.9994291933967367 |
Compiled 12 to 14 computations (-16.7% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 53.0ms | 7.0919069186081635e+50 | 4.2938074241059915e+56 |
| 38.0ms | -5.347616984721262e+42 | -6.24327775673898e+36 |
| 75.0ms | -7.00187063447793e+208 | -8.364347671131445e+189 |
| 133.0ms | 448× | 0 | valid |
Compiled 1 047 to 847 computations (19.1% saved)
ival-mult: 34.0ms (28.6% of total)ival-cos: 33.0ms (27.7% of total)ival-sin: 26.0ms (21.8% of total)ival-add: 25.0ms (21% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 4325021804922786300.0 | 1.522644529389541e+27 |
| 12.0ms | -1.1318680990645368e+43 | -5.347616984721262e+42 |
| 40.0ms | 224× | 0 | valid |
Compiled 650 to 506 computations (22.2% saved)
ival-sin: 8.0ms (41.7% of total)ival-cos: 7.0ms (36.5% of total)ival-add: 2.0ms (10.4% of total)ival-mult: 2.0ms (10.4% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 6.828685798036831e-5 | 0.00013610298387883225 |
| 8.0ms | -5.347616984721262e+42 | -6.24327775673898e+36 |
| 9.0ms | 112× | 0 | valid |
Compiled 466 to 367 computations (21.2% saved)
ival-cos: 2.0ms (31.9% of total)ival-sin: 2.0ms (31.9% of total)ival-add: 1.0ms (15.9% of total)ival-mult: 1.0ms (15.9% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.8902205794577845e-30 | 0.2184431618315467 |
| 0.0ms | -0.08853671976506924 | -0.04170284662504538 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 1.1983646530236995e-46 | 1.2092979478505734e-44 |
| 19.0ms | -1.4095197432444229e-22 | -4.346449385753433e-34 |
| 41.0ms | 272× | 0 | valid |
Compiled 556 to 439 computations (21% saved)
ival-sin: 7.0ms (42.8% of total)ival-cos: 5.0ms (30.6% of total)ival-add: 2.0ms (12.2% of total)ival-mult: 2.0ms (12.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 1.1591680760917665e+34 | 6.031565130937913e+38 |
| 8.0ms | -5.956008957929861e-16 | -3.4564418742143573e-16 |
| 35.0ms | 191× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 468 to 350 computations (25.2% saved)
ival-mult: 20.0ms (66% of total)ival-cos: 4.0ms (13.2% of total)ival-sin: 4.0ms (13.2% of total)ival-add: 2.0ms (6.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 576 |
| 1 | 177 | 576 |
| 2 | 254 | 576 |
| 3 | 370 | 576 |
| 4 | 496 | 576 |
| 5 | 790 | 576 |
| 6 | 1527 | 576 |
| 7 | 3030 | 576 |
| 8 | 7289 | 576 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(if (<=.f64 x #s(literal -735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) (if (<=.f64 x #s(literal 548744862360233/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)))) |
(if (<=.f64 z #s(literal -200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 30000000000000001060286337695509964899874596523970572991104223714708815872 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1461501637330903/2923003274661805836407369665432566039311865085952 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos 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 (+.f64 z x))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2000000 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))))) |
(if (<=.f64 y #s(literal -9500000000000000102158481796539189005163889911542746448796118444135364525117003596831942404114941016215184941507184806898728381506099264996465452617928479123554411492475122043843500350930540471917203161088 binary64)) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal -6399999999999999799255430906750435328 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 719999999999999971857593119304344367235806523293696 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos 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 (+.f64 z x))) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z))))) |
(if (<=.f64 y #s(literal -5500000000000000014757662363408740776935424 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (-.f64 x (*.f64 z #s(literal 1 binary64))))) (if (<=.f64 y #s(literal 8200000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos 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 (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -8000000000000000339365098992143695872 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (-.f64 x (*.f64 z #s(literal 1 binary64))))) (if (<=.f64 y #s(literal 4796153459164483/36893488147419103232 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 x #s(literal -2572242881702389/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 x #s(literal 6170642089954523/51422017416287688817342786954917203280710495801049370729644032 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 x #s(literal -5577662641004209/10141204801825835211973625643008 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) (if (<=.f64 x #s(literal 12499999999999999607920763489746944 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(if (<=.f64 x #s(literal -735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) (if (<=.f64 x #s(literal 548744862360233/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)))) |
(if (<=.f64 x #s(literal -735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) (if (<=.f64 x #s(literal 548744862360233/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (fma.f64 (cos.f64 y) z (sin.f64 y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)))) |
(if (<=.f64 z #s(literal -200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 30000000000000001060286337695509964899874596523970572991104223714708815872 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)))) |
(if (or (<=.f64 z #s(literal -200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) (not (<=.f64 z #s(literal 30000000000000001060286337695509964899874596523970572991104223714708815872 binary64)))) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1461501637330903/2923003274661805836407369665432566039311865085952 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos 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 (+.f64 z x))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2000000 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5 binary64)) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1461501637330903/2923003274661805836407369665432566039311865085952 binary64)) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (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 (+.f64 z x))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2000000 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x)))))) |
(if (<=.f64 y #s(literal -9500000000000000102158481796539189005163889911542746448796118444135364525117003596831942404114941016215184941507184806898728381506099264996465452617928479123554411492475122043843500350930540471917203161088 binary64)) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal -6399999999999999799255430906750435328 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 719999999999999971857593119304344367235806523293696 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos 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 (+.f64 z x))) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z))))) |
(if (<=.f64 y #s(literal -9500000000000000102158481796539189005163889911542746448796118444135364525117003596831942404114941016215184941507184806898728381506099264996465452617928479123554411492475122043843500350930540471917203161088 binary64)) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal -6399999999999999799255430906750435328 binary64)) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x)) (if (<=.f64 y #s(literal 719999999999999971857593119304344367235806523293696 binary64)) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (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 (+.f64 z x))) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z))))) |
(if (<=.f64 y #s(literal -5500000000000000014757662363408740776935424 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (-.f64 x (*.f64 z #s(literal 1 binary64))))) (if (<=.f64 y #s(literal 8200000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos 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 (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -5500000000000000014757662363408740776935424 binary64)) #s(approx (+ (* (cos y) z) (+ (sin y) x)) #s(approx (+ (* (sqrt x) (sqrt x)) z) (-.f64 x z))) (if (<=.f64 y #s(literal 8200000000000000000 binary64)) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (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 (+.f64 z x))) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -8000000000000000339365098992143695872 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) (-.f64 x (*.f64 z #s(literal 1 binary64))))) (if (<=.f64 y #s(literal 4796153459164483/36893488147419103232 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -8000000000000000339365098992143695872 binary64)) #s(approx (+ (* (cos y) z) (+ (sin y) x)) #s(approx (+ (* (sqrt x) (sqrt x)) z) (-.f64 x z))) (if (<=.f64 y #s(literal 4796153459164483/36893488147419103232 binary64)) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (+.f64 z y) x)) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x)))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (or (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -3602879701896397/72057594037927936 binary64)) (not (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 178405961588245/89202980794122492566142873090593446023921664 binary64)))) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x)) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (+.f64 z y) x))) |
(if (<=.f64 x #s(literal -2572242881702389/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 x #s(literal 6170642089954523/51422017416287688817342786954917203280710495801049370729644032 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (or (<=.f64 x #s(literal -2572242881702389/5846006549323611672814739330865132078623730171904 binary64)) (not (<=.f64 x #s(literal 6170642089954523/51422017416287688817342786954917203280710495801049370729644032 binary64)))) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x)) #s(approx (+ (* (cos y) z) (+ (sin y) x)) #s(approx (+ (+ z y) x) (+.f64 z y)))) |
(if (<=.f64 x #s(literal -5577662641004209/10141204801825835211973625643008 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) (if (<=.f64 x #s(literal 12499999999999999607920763489746944 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)))) |
(if (or (<=.f64 x #s(literal -5577662641004209/10141204801825835211973625643008 binary64)) (not (<=.f64 x #s(literal 12499999999999999607920763489746944 binary64)))) #s(approx (+ (* (cos y) z) (+ (sin y) x)) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) #s(approx (+ (* (cos y) z) (+ (sin y) x)) #s(approx (+ (+ z y) x) (+.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) |
#s(approx (+ (* (cos y) z) (+ (sin y) x)) #s(approx (+ (* (sqrt x) (sqrt x)) z) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 200 |
| 0 | 66 | 198 |
| 1 | 312 | 198 |
| 2 | 2609 | 198 |
| 0 | 8558 | 197 |
| 0 | 260 | 828 |
| 1 | 832 | 798 |
| 2 | 2959 | 789 |
| 0 | 8863 | 721 |
| 0 | 41 | 271 |
| 0 | 66 | 140 |
| 1 | 336 | 124 |
| 2 | 2367 | 121 |
| 0 | 8727 | 115 |
| 0 | 714 | 4708 |
| 1 | 2514 | 4283 |
| 0 | 8655 | 3976 |
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 53 | 21 |
| 2 | 422 | 21 |
| 3 | 6127 | 21 |
| 0 | 8268 | 20 |
| 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× | 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 592 to 121 computations (79.6% saved)
Compiled 1 202 to 258 computations (78.5% saved)
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