
Time bar (total: 8.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 963.0ms | 8 254× | 0 | valid |
| 5.0ms | 1× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
ival-cos: 261.0ms (41.5% of total)ival-sin: 191.0ms (30.4% of total)ival-mult: 69.0ms (11% of total)ival-add: 57.0ms (9.1% of total)ival-sub: 40.0ms (6.4% of total)ival-true: 7.0ms (1.1% of total)ival-assert: 3.0ms (0.5% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 x (cos.f64 y)) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 z (sin.f64 y)) |
| 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 |
| 71.0ms | 512× | 0 | valid |
Compiled 85 to 36 computations (57.6% saved)
ival-cos: 14.0ms (40.7% of total)ival-sin: 11.0ms (32% of total)ival-mult: 4.0ms (11.6% of total)ival-add: 3.0ms (8.7% of total)ival-sub: 2.0ms (5.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 90 |
| 1 | 116 | 84 |
| 2 | 299 | 83 |
| 3 | 837 | 83 |
| 4 | 2014 | 83 |
| 5 | 3288 | 83 |
| 6 | 5133 | 83 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 29 | 9 |
| 2 | 68 | 9 |
| 3 | 165 | 9 |
| 4 | 372 | 9 |
| 5 | 735 | 9 |
| 6 | 1433 | 9 |
| 7 | 2879 | 9 |
| 8 | 4793 | 9 |
| 9 | 6198 | 9 |
| 0 | 8168 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.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 (cos.f64 y)) (*.f64 z (sin.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 (sin.f64 y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (+.f64 x (cos.f64 y)) | |
| cost-diff | 0 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 29 | 24 |
| 2 | 68 | 24 |
| 3 | 165 | 24 |
| 4 | 372 | 24 |
| 5 | 735 | 24 |
| 6 | 1433 | 24 |
| 7 | 2879 | 24 |
| 8 | 4793 | 24 |
| 9 | 6198 | 24 |
| 0 | 8168 | 24 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(+.f64 x (cos.f64 y)) |
(+.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.006191259768442017 | (+.f64 x (cos.f64 y)) | |
| accuracy | 0.1171875 | (*.f64 z (sin.f64 y)) |
| 67.0ms | 256× | 0 | valid |
Compiled 50 to 18 computations (64% saved)
ival-cos: 13.0ms (43.1% of total)ival-sin: 13.0ms (43.1% of total)ival-mult: 2.0ms (6.6% of total)ival-sub: 1.0ms (3.3% of total)ival-add: 1.0ms (3.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* z (sin y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | z | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | x | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | y | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | z | @ | -inf | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 273 |
| 1 | 333 | 268 |
| 2 | 1124 | 266 |
| 3 | 4504 | 262 |
| 0 | 8402 | 238 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* z (sin y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
| Outputs |
|---|
(- (cos y) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1 (* y z)))) |
(-.f64 x (fma.f64 z y #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(-.f64 x (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64))) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64)) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64)) |
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 (fma.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 z (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) y)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 54 | 19 |
| 2 | 518 | 19 |
| 0 | 8055 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (+.f64 (cos.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) (-.f64 (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))) |
(*.f64 (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (-.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (*.f64 x x)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))) |
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
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(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(neg.f64 (*.f64 (neg.f64 z) (sin.f64 y))) |
Compiled 9 251 to 830 computations (91% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 273 | 12 | 285 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 274 | 12 | 286 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
| 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) | |
| ▶ | 72.5% | (-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
| 63.3% | (-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 z (sin.f64 y))) | |
| 86.9% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| 58.7% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| 68.0% | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))) | |
| 57.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64)))) | |
| 64.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) | |
| ▶ | 58.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64)))) |
| ▶ | 63.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| ▶ | 25.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
Compiled 372 to 286 computations (23.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* z (sin y)) (*.f64 z y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (+.f64 x (cos.f64 y)) | |
| cost-diff | 0 | (-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) y z) | |
| cost-diff | 0 | (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64)) | |
| cost-diff | 0 | (-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (+.f64 (cos.f64 y) x) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 143 |
| 0 | 44 | 143 |
| 1 | 87 | 143 |
| 2 | 181 | 143 |
| 3 | 457 | 143 |
| 4 | 1089 | 143 |
| 5 | 2064 | 143 |
| 6 | 3386 | 143 |
| 7 | 4936 | 143 |
| 8 | 6941 | 143 |
| 0 | 8208 | 143 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(sin.f64 y) |
y |
(neg.f64 z) |
z |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64)))) |
(-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64))) |
x |
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64)) |
y |
(fma.f64 #s(literal 1/2 binary64) y z) |
#s(literal 1/2 binary64) |
z |
#s(literal -1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
(+.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
#s(approx (* z (sin y)) (*.f64 z y)) |
(*.f64 z y) |
z |
| Outputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(sin.f64 y) |
y |
(neg.f64 z) |
z |
(+.f64 (cos.f64 y) x) |
(+.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)))) |
(-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64))) |
(-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64))) |
x |
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)) |
y |
(fma.f64 #s(literal 1/2 binary64) y z) |
#s(literal 1/2 binary64) |
z |
#s(literal -1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
(+.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
#s(approx (* z (sin y)) (*.f64 z y)) |
(*.f64 z y) |
z |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| accuracy | 0.006191259768442017 | (+.f64 x (cos.f64 y)) | |
| accuracy | 29.88490740671831 | #s(approx (* z (sin y)) (*.f64 z y)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.1171875 | (*.f64 (neg.f64 z) (sin.f64 y)) | |
| accuracy | 47.68764889754769 | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| accuracy | 0 | (fma.f64 #s(literal 1/2 binary64) y z) | |
| accuracy | 0 | (-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64))) | |
| accuracy | 0.0078125 | (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64)) | |
| accuracy | 26.527986153525617 | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64)))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 23.215460963071106 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.006191259768442017 | (+.f64 (cos.f64 y) x) | |
| accuracy | 0.03125 | (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
| 79.0ms | 256× | 0 | valid |
Compiled 266 to 53 computations (80.1% saved)
ival-cos: 26.0ms (50.5% of total)ival-mult: 9.0ms (17.5% of total)ival-add: 7.0ms (13.6% of total)ival-sin: 6.0ms (11.7% of total)ival-sub: 2.0ms (3.9% of total)ival-neg: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(sin.f64 y) |
(neg.f64 z) |
(+.f64 (cos.f64 y) x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64)))) |
(-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64))) |
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) y z) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
(+.f64 x (cos.f64 y)) |
(cos.f64 y) |
#s(approx (* z (sin y)) (*.f64 z y)) |
| Outputs |
|---|
(+ (cos y) (* -1 (* z (sin y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(cos y) |
(+ x (cos y)) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
1 |
(+ 1 x) |
(- 1 (* y (+ z (* 1/2 y)))) |
(- (+ 1 x) (* y (+ z (* 1/2 y)))) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (+ 1 (/ 1 x))) |
(* x (- (+ 1 (/ 1 x)) (/ (* y (+ z (* 1/2 y))) x))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1 (* y (+ z (* 1/2 y)))) x)) 1))) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
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)))) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
-1 |
(- (* y z) 1) |
(- (* y (+ z (* 1/2 y))) 1) |
z |
(+ z (* 1/2 y)) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(sin y) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) (+ 1/2 (/ z y)))) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (+ 1/2 (/ z y))) |
(* (pow y 2) (- (+ 1/2 (/ z y)) (/ 1 (pow y 2)))) |
(* 1/2 y) |
(* y (+ 1/2 (/ z y))) |
(* -1 (* z (sin y))) |
(* z (sin y)) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (+ 1 x) y)) (* -1 z)) y)) 1/2)) |
(* (pow y 2) (+ 1/2 (* -1 (/ (+ (* -1 z) (/ 1 y)) y)))) |
(* -1 (* y (- (* -1 (/ z y)) 1/2))) |
(* -1 z) |
(- (+ 1 x) (* 1/2 (pow y 2))) |
(- (+ 1 (+ x (* -1 (* y z)))) (* 1/2 (pow y 2))) |
(- (* 1/2 (pow y 2)) 1) |
(- (+ (* 1/2 (pow y 2)) (* y z)) 1) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ 1 z) (/ x z)) (+ y (* 1/2 (/ (pow y 2) z))))) |
(* z (- (+ y (* 1/2 (/ (pow y 2) z))) (/ 1 z))) |
(* z (+ 1 (* 1/2 (/ y z)))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (- (+ 1 x) (* 1/2 (pow y 2))) z)) (* -1 y)))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (- (* 1/2 (pow y 2)) 1) z))))) |
(* -1 (* z (- (* -1/2 (/ y z)) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | x | @ | inf | ((+ (* (sin y) (neg z)) (+ (cos y) x)) (sin y) (neg z) (+ (cos y) x) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (+ (* 1/2 y) z)) -1)) (+ (* y (+ (* 1/2 y) z)) -1) (+ (* 1/2 y) z) (- (+ x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 2.0ms | y | @ | -inf | ((+ (* (sin y) (neg z)) (+ (cos y) x)) (sin y) (neg z) (+ (cos y) x) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (+ (* 1/2 y) z)) -1)) (+ (* y (+ (* 1/2 y) z)) -1) (+ (* 1/2 y) z) (- (+ x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 2.0ms | z | @ | -inf | ((+ (* (sin y) (neg z)) (+ (cos y) x)) (sin y) (neg z) (+ (cos y) x) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (+ (* 1/2 y) z)) -1)) (+ (* y (+ (* 1/2 y) z)) -1) (+ (* 1/2 y) z) (- (+ x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 2.0ms | z | @ | inf | ((+ (* (sin y) (neg z)) (+ (cos y) x)) (sin y) (neg z) (+ (cos y) x) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (+ (* 1/2 y) z)) -1)) (+ (* y (+ (* 1/2 y) z)) -1) (+ (* 1/2 y) z) (- (+ x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | y | @ | inf | ((+ (* (sin y) (neg z)) (+ (cos y) x)) (sin y) (neg z) (+ (cos y) x) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (+ (* 1/2 y) z)) -1)) (+ (* y (+ (* 1/2 y) z)) -1) (+ (* 1/2 y) z) (- (+ x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 241 | 792 |
| 1 | 840 | 776 |
| 2 | 2863 | 751 |
| 0 | 8171 | 681 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (cos y) (* -1 (* z (sin y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(cos y) |
(+ x (cos y)) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
1 |
(+ 1 x) |
(- 1 (* y (+ z (* 1/2 y)))) |
(- (+ 1 x) (* y (+ z (* 1/2 y)))) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (+ 1 (/ 1 x))) |
(* x (- (+ 1 (/ 1 x)) (/ (* y (+ z (* 1/2 y))) x))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1 (* y (+ z (* 1/2 y)))) x)) 1))) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
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)))) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
-1 |
(- (* y z) 1) |
(- (* y (+ z (* 1/2 y))) 1) |
z |
(+ z (* 1/2 y)) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(sin y) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) (+ 1/2 (/ z y)))) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (+ 1/2 (/ z y))) |
(* (pow y 2) (- (+ 1/2 (/ z y)) (/ 1 (pow y 2)))) |
(* 1/2 y) |
(* y (+ 1/2 (/ z y))) |
(* -1 (* z (sin y))) |
(* z (sin y)) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (+ 1 x) y)) (* -1 z)) y)) 1/2)) |
(* (pow y 2) (+ 1/2 (* -1 (/ (+ (* -1 z) (/ 1 y)) y)))) |
(* -1 (* y (- (* -1 (/ z y)) 1/2))) |
(* -1 z) |
(- (+ 1 x) (* 1/2 (pow y 2))) |
(- (+ 1 (+ x (* -1 (* y z)))) (* 1/2 (pow y 2))) |
(- (* 1/2 (pow y 2)) 1) |
(- (+ (* 1/2 (pow y 2)) (* y z)) 1) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ 1 z) (/ x z)) (+ y (* 1/2 (/ (pow y 2) z))))) |
(* z (- (+ y (* 1/2 (/ (pow y 2) z))) (/ 1 z))) |
(* z (+ 1 (* 1/2 (/ y z)))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (- (+ 1 x) (* 1/2 (pow y 2))) z)) (* -1 y)))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (- (* 1/2 (pow y 2)) 1) z))))) |
(* -1 (* z (- (* -1/2 (/ y z)) 1))) |
| Outputs |
|---|
(+ (cos y) (* -1 (* z (sin y)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(- (cos y) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(- 1 (* y (+ z (* 1/2 y)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) y z) y)) |
(- (+ 1 x) (* y (+ z (* 1/2 y)))) |
(-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64))) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (- (+ 1 (/ 1 x)) (/ (* y (+ z (* 1/2 y))) x))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) y z) y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- 1 (* y (+ z (* 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(+ 1 (+ x (* -1 (* y z)))) |
(-.f64 x (fma.f64 z y #s(literal -1 binary64))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (-.f64 x #s(literal -1 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)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (-.f64 x #s(literal -1 binary64))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(-.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal -1 binary64)) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal -1 binary64)) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (-.f64 x #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* y z) 1) |
(fma.f64 z y #s(literal -1 binary64)) |
(- (* y (+ z (* 1/2 y))) 1) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)) |
z |
(+ z (* 1/2 y)) |
(fma.f64 #s(literal 1/2 binary64) y z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))) y) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (fma.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) y) y (*.f64 #s(literal -1/6 binary64) z)) (*.f64 z y)) |
(sin y) |
(sin.f64 y) |
(* -1/2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y) y) |
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) (+ 1/2 (/ z y)))) |
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y)) (*.f64 y y)) |
(* 1/2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(* (pow y 2) (+ 1/2 (/ z y))) |
(*.f64 (*.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) y) y) |
(* (pow y 2) (- (+ 1/2 (/ z y)) (/ 1 (pow y 2)))) |
(fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64)) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* y (+ 1/2 (/ z y))) |
(*.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) y) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (+ 1 x) y)) (* -1 z)) y)) 1/2)) |
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y)) (*.f64 y y)) |
(* (pow y 2) (+ 1/2 (* -1 (/ (+ (* -1 z) (/ 1 y)) y)))) |
(fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64)) |
(* -1 (* y (- (* -1 (/ z y)) 1/2))) |
(*.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) y) |
(* -1 z) |
(neg.f64 z) |
(- (+ 1 x) (* 1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (-.f64 x #s(literal -1 binary64))) |
(- (+ 1 (+ x (* -1 (* y z)))) (* 1/2 (pow y 2))) |
(-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64))) |
(- (* 1/2 (pow y 2)) 1) |
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (+ (* 1/2 (pow y 2)) (* y z)) 1) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* z (- (+ (/ 1 z) (/ x z)) (+ y (* 1/2 (/ (pow y 2) z))))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) x) z) y) z #s(literal 1 binary64)) |
(* z (- (+ y (* 1/2 (/ (pow y 2) z))) (/ 1 z))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64) y) z #s(literal -1 binary64)) |
(* z (+ 1 (* 1/2 (/ y z)))) |
(fma.f64 (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) z z) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* -1 (* z (- (* -1 (/ (- (+ 1 x) (* 1/2 (pow y 2))) z)) (* -1 y)))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) x) z) y) z #s(literal 1 binary64)) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (- (* 1/2 (pow y 2)) 1) z))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64) y) z #s(literal -1 binary64)) |
(* -1 (* z (- (* -1/2 (/ y z)) 1))) |
(fma.f64 (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) z z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 119 |
| 0 | 44 | 119 |
| 1 | 192 | 119 |
| 2 | 1684 | 119 |
| 0 | 9558 | 119 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(sin.f64 y) |
(neg.f64 z) |
(+.f64 (cos.f64 y) x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64)))) |
(-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64))) |
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) y z) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
(+.f64 x (cos.f64 y)) |
(cos.f64 y) |
#s(approx (* z (sin y)) (*.f64 z y)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (+.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) (fma.f64 (neg.f64 z) (sin.f64 y) x) (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) (cos.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (+.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (+.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (+.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (+.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (+.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (+.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (+.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (+.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (+.f64 x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (*.f64 (+.f64 x (*.f64 (neg.f64 z) (sin.f64 y))) (+.f64 x (*.f64 (neg.f64 z) (sin.f64 y)))) (*.f64 (cos.f64 y) (+.f64 x (*.f64 (neg.f64 z) (sin.f64 y))))))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))) |
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(fma.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 y) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.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 1/2 binary64)))) |
(sin.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 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 (cos.f64 #s(literal 0 binary64)) (cos.f64 y)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.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))) |
#s(approx (* z (sin y)) (*.f64 z y)) |
Compiled 15 428 to 1 676 computations (89.1% saved)
19 alts after pruning (15 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 473 | 10 | 483 |
| Fresh | 2 | 5 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 476 | 19 | 495 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
| 58.7% | (fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (+ (cos y) x) (cos.f64 y))) | |
| ▶ | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) |
| ✓ | 72.5% | (-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
| 63.3% | (-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 z (sin.f64 y))) | |
| 86.9% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| 68.0% | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))) | |
| 64.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) | |
| ▶ | 48.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) #s(literal -1 binary64)))) |
| 51.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y #s(approx (+ (* 1/2 y) z) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) | |
| 57.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64) y) z #s(literal -1 binary64))))) | |
| ▶ | 48.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))))) |
| ✓ | 63.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | 25.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| ▶ | 2.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
| ▶ | 23.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| 11.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) | |
| 11.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) | |
| 11.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) z))) |
Compiled 718 to 525 computations (26.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) #s(literal -1 binary64)))) | |
| cost-diff | 256 | (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) | |
| cost-diff | 0 | (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))) | |
| cost-diff | 0 | (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ 1 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 358 |
| 0 | 70 | 354 |
| 1 | 152 | 351 |
| 2 | 404 | 346 |
| 3 | 1455 | 346 |
| 4 | 4047 | 346 |
| 5 | 7842 | 346 |
| 0 | 8019 | 326 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/2 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))))) |
(-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64)))) |
x |
#s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))) |
(fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64)) |
(+.f64 (/.f64 z y) #s(literal 1/2 binary64)) |
(/.f64 z y) |
z |
y |
#s(literal 1/2 binary64) |
(*.f64 y y) |
#s(literal -1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) #s(literal -1 binary64)))) |
(-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) #s(literal -1 binary64))) |
x |
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) #s(literal -1 binary64)) |
y |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z))) |
(fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) |
#s(literal 1/2 binary64) |
(neg.f64 z) |
z |
(fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) |
#s(literal 1/4 binary64) |
(*.f64 y y) |
(*.f64 (neg.f64 z) z) |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 y) z (neg.f64 (+.f64 x (cos.f64 y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(+.f64 (cos.f64 y) x) |
(+.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))) |
#s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
#s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)) |
(*.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) y) y) |
(*.f64 y y) |
y |
#s(literal -1/2 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (-.f64 (/.f64 z y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))))) |
(-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64)))) |
(-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (-.f64 (/.f64 z y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal -1 binary64)))) |
x |
#s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))) |
#s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (-.f64 (/.f64 z y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))) |
(fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64)) |
(fma.f64 (-.f64 (/.f64 z y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal -1 binary64)) |
(+.f64 (/.f64 z y) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 z y) #s(literal -1/2 binary64)) |
(/.f64 z y) |
z |
y |
#s(literal 1/2 binary64) |
(*.f64 y y) |
#s(literal -1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) y) y (*.f64 z z)) (/.f64 y (fma.f64 #s(literal -1/2 binary64) y z)) #s(literal -1 binary64)))) |
(-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) #s(literal -1 binary64))) |
(-.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) y) y (*.f64 z z)) (/.f64 y (fma.f64 #s(literal -1/2 binary64) y z)) #s(literal -1 binary64))) |
x |
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) y) y (*.f64 z z)) (/.f64 y (fma.f64 #s(literal -1/2 binary64) y z)) #s(literal -1 binary64)) |
y |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) y) y (*.f64 z z)) (fma.f64 #s(literal -1/2 binary64) y z)) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) y z) (fma.f64 (*.f64 #s(literal -1/4 binary64) y) y (*.f64 z z))) |
(fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) |
#s(literal 1/2 binary64) |
(neg.f64 z) |
z |
(fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) |
#s(literal 1/4 binary64) |
(*.f64 y y) |
(*.f64 (neg.f64 z) z) |
#s(literal -1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.16796875 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) | |
| accuracy | 2.8437396791510294 | (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) | |
| accuracy | 26.527986153525617 | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) #s(literal -1 binary64)))) | |
| accuracy | 29.140292247809334 | (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0 | #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))) | |
| accuracy | 6.380881376160885 | (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64)) | |
| accuracy | 26.527986153525617 | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) | |
| accuracy | 26.527986153525617 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) | |
| accuracy | 42.297604795551194 | #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) | |
| accuracy | 23.215460963071106 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) | |
| accuracy | 31.110810421998245 | #s(approx (+ 1 x) #s(literal 1 binary64)) | |
| accuracy | 0.006191259768442017 | (+.f64 (cos.f64 y) x) | |
| accuracy | 0.03125 | (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) | |
| accuracy | 0.08984375 | (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) | |
| accuracy | 0.18359375 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) |
| 122.0ms | 256× | 0 | valid |
Compiled 634 to 91 computations (85.6% saved)
ival-mult: 37.0ms (36.2% of total)ival-div: 25.0ms (24.4% of total)ival-sin: 17.0ms (16.6% of total)ival-add: 12.0ms (11.7% of total)ival-cos: 5.0ms (4.9% of total)ival-sub: 3.0ms (2.9% of total)exact: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(neg.f64 z) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(*.f64 y y) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))))) |
(-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64)))) |
#s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))) |
(fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) #s(literal -1 binary64)))) |
(-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) #s(literal -1 binary64))) |
(+.f64 (cos.f64 y) x) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) |
| Outputs |
|---|
(+ (cos y) (* -1 (* z (sin y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ 1 (+ (cos y) (* -1 (* z (sin y))))) |
(+ (* -1 (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 2))) (/ 1 (+ (cos y) (* -1 (* z (sin y)))))) |
(+ (* x (- (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 3)) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 2)))) (/ 1 (+ (cos y) (* -1 (* z (sin y)))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 4))) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 3)))) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 2)))) (/ 1 (+ (cos y) (* -1 (* z (sin y)))))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
1 |
(+ 1 x) |
(- 1 (* y (+ z (* 1/2 y)))) |
(- (+ 1 x) (* y (+ z (* 1/2 y)))) |
(- 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (- (* 1/2 y) z))) |
(- (+ 1 x) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (- (* 1/2 y) z))) |
(cos y) |
(+ x (cos y)) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x))) x) |
(/ (- (+ 1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) (pow x 3)))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (/ (cos y) x)))) x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (+ 1 (/ 1 x))) |
(* x (- (+ 1 (/ 1 x)) (/ (* y (+ z (* 1/2 y))) x))) |
(* x (- (+ 1 (/ 1 x)) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (- (* 1/2 y) z))))) |
(* x (+ 1 (/ (cos y) x))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (/ (- (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) x) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) x) (pow (+ (cos y) (* -1 (* z (sin y)))) 2)) x)) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1 (* y (+ z (* 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (- (* 1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(/ 1 (+ 1 x)) |
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(* -1/2 (pow y 2)) |
(pow y 2) |
-1 |
(- (* y z) 1) |
(- (* y (+ z (* 1/2 y))) 1) |
z |
(+ z (* 1/2 y)) |
(/ 1 z) |
(+ (* -1/2 (/ y (pow z 2))) (/ 1 z)) |
(+ (* y (- (* 1/4 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)) |
(+ (* y (- (* y (+ (* -1/8 (/ y (pow z 4))) (* 1/4 (/ 1 (pow z 3))))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(* -1 (pow z 2)) |
(+ (* -1 (pow z 2)) (* 1/4 (pow y 2))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) (+ 1/2 (/ z y)))) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (+ 1/2 (/ z y))) |
(* (pow y 2) (- (+ 1/2 (/ z y)) (/ 1 (pow y 2)))) |
(* 1/2 y) |
(* y (+ 1/2 (/ z y))) |
(/ 2 y) |
(/ (+ 2 (* -4 (/ z y))) y) |
(/ (+ 2 (+ (* -4 (/ z y)) (* 8 (/ (pow z 2) (pow y 2))))) y) |
(/ (- (+ 2 (+ (* -16 (/ (pow z 3) (pow y 3))) (* -4 (/ z y)))) (* -8 (/ (pow z 2) (pow y 2)))) y) |
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) (+ 1/2 (+ (* -2 (/ (pow z 2) (pow y 2))) (+ (* 2 (/ (pow z 2) (pow y 2))) (/ z y)))))) |
(* (pow y 2) (- (+ (* -1 (/ (+ (* -4 (pow z 3)) (* 4 (pow z 3))) (pow y 3))) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (+ 1/2 (+ (* -2 (/ (pow z 2) (pow y 2))) (+ (* 2 (/ (pow z 2) (pow y 2))) (/ z y)))))) |
(* 1/4 (pow y 2)) |
(* (pow y 2) (+ 1/4 (* -1 (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (+ 1 x) y)) (* -1 z)) y)) 1/2)) |
(* (pow y 2) (+ 1/2 (* -1 (/ (+ (* -1 z) (/ 1 y)) y)))) |
(* -1 (* y (- (* -1 (/ z y)) 1/2))) |
(* -1 (/ (- (* 4 (/ z y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -4 z) (* 8 (/ (pow z 2) y))) y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -4 z) (* -1 (/ (+ (* -8 (pow z 2)) (* 16 (/ (pow z 3) y))) y))) y)) 2) y)) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 x) (+ (* -2 (pow z 2)) (* 2 (pow z 2)))) y)) (* -1 z)) y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 (+ x (+ (* -4 (/ (pow z 3) y)) (* 4 (/ (pow z 3) y))))) (+ (* -2 (pow z 2)) (* 2 (pow z 2)))) y)) (* -1 z)) y)) 1/2)) |
(/ 1 (+ x (cos y))) |
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(* -1 z) |
(- (+ 1 x) (* 1/2 (pow y 2))) |
(- (+ 1 (+ x (* -1 (* y z)))) (* 1/2 (pow y 2))) |
(- (* 1/2 (pow y 2)) 1) |
(- (+ (* 1/2 (pow y 2)) (* y z)) 1) |
(+ (* -4 (/ z (pow y 2))) (* 2 (/ 1 y))) |
(+ (* z (- (* 8 (/ z (pow y 3))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(+ (* z (- (* z (+ (* -16 (/ z (pow y 4))) (* 8 (/ 1 (pow y 3))))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(/ -1 (* z (sin y))) |
(/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z) |
(/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z) |
(/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* y z)) |
(* z (- (+ (/ 1 z) (/ x z)) (+ y (* 1/2 (/ (pow y 2) z))))) |
(* y z) |
(* z (- (+ y (* 1/2 (/ (pow y 2) z))) (/ 1 z))) |
(* z (+ 1 (* 1/2 (/ y z)))) |
(/ (+ 1 (* -1/2 (/ y z))) z) |
(/ (+ 1 (+ (* -1/2 (/ y z)) (* 1/4 (/ (pow y 2) (pow z 2))))) z) |
(/ (- (+ 1 (+ (* -1/2 (/ y z)) (* -1/8 (/ (pow y 3) (pow z 3))))) (* -1/4 (/ (pow y 2) (pow z 2)))) z) |
(* z (- (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))) y)) |
(* (pow z 2) (- (* 1/4 (/ (pow y 2) (pow z 2))) 1)) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (/ (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y)))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y)))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (- (+ 1 x) (* 1/2 (pow y 2))) z)) (* -1 y)))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (- (* 1/2 (pow y 2)) 1) z))))) |
(* -1 (* z (- (* -1/2 (/ y z)) 1))) |
(* -1 (/ (- (* 1/2 (/ y z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) z))) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (pow y 3) z)) (* 1/4 (pow y 2))) z)) (* -1/2 y)) z)) 1) z)) |
(* -1 (* z (- (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* -1 y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 46.0ms | z | @ | 0 | ((/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (+ (* 1/2 y) z)) -1)) (* (* y y) -1/2) (* y y) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (+ (* 1/2 y) z)) -1)) (+ (* y (+ (* 1/2 y) z)) -1) (+ (* (+ (/ z y) 1/2) (* y y)) -1) (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z)))) (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))))) -1)) (+ (cos y) x) (+ (* 1/4 (* y y)) (* (neg z) z))) |
| 6.0ms | y | @ | inf | ((/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (+ (* 1/2 y) z)) -1)) (* (* y y) -1/2) (* y y) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (+ (* 1/2 y) z)) -1)) (+ (* y (+ (* 1/2 y) z)) -1) (+ (* (+ (/ z y) 1/2) (* y y)) -1) (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z)))) (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))))) -1)) (+ (cos y) x) (+ (* 1/4 (* y y)) (* (neg z) z))) |
| 6.0ms | x | @ | inf | ((/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (+ (* 1/2 y) z)) -1)) (* (* y y) -1/2) (* y y) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (+ (* 1/2 y) z)) -1)) (+ (* y (+ (* 1/2 y) z)) -1) (+ (* (+ (/ z y) 1/2) (* y y)) -1) (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z)))) (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))))) -1)) (+ (cos y) x) (+ (* 1/4 (* y y)) (* (neg z) z))) |
| 4.0ms | z | @ | inf | ((/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (+ (* 1/2 y) z)) -1)) (* (* y y) -1/2) (* y y) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (+ (* 1/2 y) z)) -1)) (+ (* y (+ (* 1/2 y) z)) -1) (+ (* (+ (/ z y) 1/2) (* y y)) -1) (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z)))) (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))))) -1)) (+ (cos y) x) (+ (* 1/4 (* y y)) (* (neg z) z))) |
| 3.0ms | y | @ | -inf | ((/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (+ (* 1/2 y) z)) -1)) (* (* y y) -1/2) (* y y) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (+ (* 1/2 y) z)) -1)) (+ (* y (+ (* 1/2 y) z)) -1) (+ (* (+ (/ z y) 1/2) (* y y)) -1) (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z)))) (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))))) -1)) (+ (cos y) x) (+ (* 1/4 (* y y)) (* (neg z) z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 547 | 1988 |
| 1 | 1803 | 1905 |
| 2 | 6449 | 1867 |
| 0 | 9027 | 1792 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (cos y) (* -1 (* z (sin y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ 1 (+ (cos y) (* -1 (* z (sin y))))) |
(+ (* -1 (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 2))) (/ 1 (+ (cos y) (* -1 (* z (sin y)))))) |
(+ (* x (- (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 3)) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 2)))) (/ 1 (+ (cos y) (* -1 (* z (sin y)))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 4))) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 3)))) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 2)))) (/ 1 (+ (cos y) (* -1 (* z (sin y)))))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
1 |
(+ 1 x) |
(- 1 (* y (+ z (* 1/2 y)))) |
(- (+ 1 x) (* y (+ z (* 1/2 y)))) |
(- 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (- (* 1/2 y) z))) |
(- (+ 1 x) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (- (* 1/2 y) z))) |
(cos y) |
(+ x (cos y)) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x))) x) |
(/ (- (+ 1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) (pow x 3)))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (/ (cos y) x)))) x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (+ 1 (/ 1 x))) |
(* x (- (+ 1 (/ 1 x)) (/ (* y (+ z (* 1/2 y))) x))) |
(* x (- (+ 1 (/ 1 x)) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (- (* 1/2 y) z))))) |
(* x (+ 1 (/ (cos y) x))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (/ (- (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) x) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) x) (pow (+ (cos y) (* -1 (* z (sin y)))) 2)) x)) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1 (* y (+ z (* 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (- (* 1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(/ 1 (+ 1 x)) |
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(* -1/2 (pow y 2)) |
(pow y 2) |
-1 |
(- (* y z) 1) |
(- (* y (+ z (* 1/2 y))) 1) |
z |
(+ z (* 1/2 y)) |
(/ 1 z) |
(+ (* -1/2 (/ y (pow z 2))) (/ 1 z)) |
(+ (* y (- (* 1/4 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)) |
(+ (* y (- (* y (+ (* -1/8 (/ y (pow z 4))) (* 1/4 (/ 1 (pow z 3))))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(* -1 (pow z 2)) |
(+ (* -1 (pow z 2)) (* 1/4 (pow y 2))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) (+ 1/2 (/ z y)))) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (+ 1/2 (/ z y))) |
(* (pow y 2) (- (+ 1/2 (/ z y)) (/ 1 (pow y 2)))) |
(* 1/2 y) |
(* y (+ 1/2 (/ z y))) |
(/ 2 y) |
(/ (+ 2 (* -4 (/ z y))) y) |
(/ (+ 2 (+ (* -4 (/ z y)) (* 8 (/ (pow z 2) (pow y 2))))) y) |
(/ (- (+ 2 (+ (* -16 (/ (pow z 3) (pow y 3))) (* -4 (/ z y)))) (* -8 (/ (pow z 2) (pow y 2)))) y) |
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) (+ 1/2 (+ (* -2 (/ (pow z 2) (pow y 2))) (+ (* 2 (/ (pow z 2) (pow y 2))) (/ z y)))))) |
(* (pow y 2) (- (+ (* -1 (/ (+ (* -4 (pow z 3)) (* 4 (pow z 3))) (pow y 3))) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (+ 1/2 (+ (* -2 (/ (pow z 2) (pow y 2))) (+ (* 2 (/ (pow z 2) (pow y 2))) (/ z y)))))) |
(* 1/4 (pow y 2)) |
(* (pow y 2) (+ 1/4 (* -1 (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (+ 1 x) y)) (* -1 z)) y)) 1/2)) |
(* (pow y 2) (+ 1/2 (* -1 (/ (+ (* -1 z) (/ 1 y)) y)))) |
(* -1 (* y (- (* -1 (/ z y)) 1/2))) |
(* -1 (/ (- (* 4 (/ z y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -4 z) (* 8 (/ (pow z 2) y))) y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -4 z) (* -1 (/ (+ (* -8 (pow z 2)) (* 16 (/ (pow z 3) y))) y))) y)) 2) y)) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 x) (+ (* -2 (pow z 2)) (* 2 (pow z 2)))) y)) (* -1 z)) y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 (+ x (+ (* -4 (/ (pow z 3) y)) (* 4 (/ (pow z 3) y))))) (+ (* -2 (pow z 2)) (* 2 (pow z 2)))) y)) (* -1 z)) y)) 1/2)) |
(/ 1 (+ x (cos y))) |
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(* -1 z) |
(- (+ 1 x) (* 1/2 (pow y 2))) |
(- (+ 1 (+ x (* -1 (* y z)))) (* 1/2 (pow y 2))) |
(- (* 1/2 (pow y 2)) 1) |
(- (+ (* 1/2 (pow y 2)) (* y z)) 1) |
(+ (* -4 (/ z (pow y 2))) (* 2 (/ 1 y))) |
(+ (* z (- (* 8 (/ z (pow y 3))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(+ (* z (- (* z (+ (* -16 (/ z (pow y 4))) (* 8 (/ 1 (pow y 3))))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(/ -1 (* z (sin y))) |
(/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z) |
(/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z) |
(/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* y z)) |
(* z (- (+ (/ 1 z) (/ x z)) (+ y (* 1/2 (/ (pow y 2) z))))) |
(* y z) |
(* z (- (+ y (* 1/2 (/ (pow y 2) z))) (/ 1 z))) |
(* z (+ 1 (* 1/2 (/ y z)))) |
(/ (+ 1 (* -1/2 (/ y z))) z) |
(/ (+ 1 (+ (* -1/2 (/ y z)) (* 1/4 (/ (pow y 2) (pow z 2))))) z) |
(/ (- (+ 1 (+ (* -1/2 (/ y z)) (* -1/8 (/ (pow y 3) (pow z 3))))) (* -1/4 (/ (pow y 2) (pow z 2)))) z) |
(* z (- (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))) y)) |
(* (pow z 2) (- (* 1/4 (/ (pow y 2) (pow z 2))) 1)) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (/ (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y)))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y)))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (- (+ 1 x) (* 1/2 (pow y 2))) z)) (* -1 y)))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (- (* 1/2 (pow y 2)) 1) z))))) |
(* -1 (* z (- (* -1/2 (/ y z)) 1))) |
(* -1 (/ (- (* 1/2 (/ y z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) z))) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (pow y 3) z)) (* 1/4 (pow y 2))) z)) (* -1/2 y)) z)) 1) z)) |
(* -1 (* z (- (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* -1 y)))) |
| Outputs |
|---|
(+ (cos y) (* -1 (* z (sin y)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(/ 1 (+ (cos y) (* -1 (* z (sin y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(+ (* -1 (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 2))) (/ 1 (+ (cos y) (* -1 (* z (sin y)))))) |
(/.f64 (+.f64 (/.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) #s(literal 1 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(+ (* x (- (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 3)) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 2)))) (/ 1 (+ (cos y) (* -1 (* z (sin y)))))) |
(fma.f64 (/.f64 (+.f64 (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 4))) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 3)))) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 2)))) (/ 1 (+ (cos y) (* -1 (* z (sin y)))))) |
(fma.f64 (fma.f64 (neg.f64 x) (/.f64 x (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))) |
(- (cos y) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(- 1 (* y (+ z (* 1/2 y)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) y z) y)) |
(- (+ 1 x) (* y (+ z (* 1/2 y)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(- 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (- (* 1/2 y) z))) |
(fma.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) y) z)) #s(literal 1 binary64)) |
(- (+ 1 x) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (- (* 1/2 y) z))) |
(-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) y) z)))) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) x) |
(/ (- (+ 1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) x) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) x) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) (pow x 3)))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (/ (cos y) x)))) x) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) x) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) x)) x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (- (+ 1 (/ 1 x)) (/ (* y (+ z (* 1/2 y))) x))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) y z) y)) x) #s(literal 1 binary64)) x) |
(* x (- (+ 1 (/ 1 x)) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (- (* 1/2 y) z))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) y) z)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (/ (- (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) x) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) x) (pow (+ (cos y) (* -1 (* z (sin y)))) 2)) x)) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)) x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 x)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- 1 (* y (+ z (* 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) y z) y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (- (* 1/2 y) z))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) y) z)) #s(literal 1 binary64)) (neg.f64 x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (cos.f64 y) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(+ 1 (+ x (* -1 (* y z)))) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(/ 1 (+ 1 x)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2))) |
(/.f64 (+.f64 (/.f64 (*.f64 y z) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) y (/.f64 z (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (*.f64 #s(literal -1/2 binary64) z) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 z (+.f64 #s(literal 1 binary64) x)))) (/.f64 (+.f64 (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) y (/.f64 z (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(* -1/2 (pow y 2)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) y) y) |
(pow y 2) |
(*.f64 y y) |
-1 |
#s(literal -1 binary64) |
(- (* y z) 1) |
(fma.f64 y z #s(literal -1 binary64)) |
(- (* y (+ z (* 1/2 y))) 1) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)) |
z |
(+ z (* 1/2 y)) |
(fma.f64 #s(literal 1/2 binary64) y z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1/2 (/ y (pow z 2))) (/ 1 z)) |
(/.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(+ (* y (- (* 1/4 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)) |
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)) |
(+ (* y (- (* y (+ (* -1/8 (/ y (pow z 4))) (* 1/4 (/ 1 (pow z 3))))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 z #s(literal 3 binary64)))) y (/.f64 #s(literal -1/2 binary64) (*.f64 z z))) y (/.f64 #s(literal 1 binary64) z)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64)) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64)) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(+ (* -1 (pow z 2)) (* 1/4 (pow y 2))) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(*.f64 (*.f64 (fma.f64 (/.f64 z y) #s(literal -1 binary64) #s(literal -1/2 binary64)) y) y) |
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) (+ 1/2 (/ z y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y) #s(literal 1/2 binary64)) (*.f64 y y)) |
(* 1/2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(* (pow y 2) (+ 1/2 (/ z y))) |
(*.f64 (*.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) y) y) |
(* (pow y 2) (- (+ 1/2 (/ z y)) (/ 1 (pow y 2)))) |
(*.f64 (-.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y)) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* y (+ 1/2 (/ z y))) |
(*.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) y) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
(/ (+ 2 (* -4 (/ z y))) y) |
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) y) |
(/ (+ 2 (+ (* -4 (/ z y)) (* 8 (/ (pow z 2) (pow y 2))))) y) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (*.f64 #s(literal -4 binary64) z)) y) #s(literal 2 binary64)) y) |
(/ (- (+ 2 (+ (* -16 (/ (pow z 3) (pow y 3))) (* -4 (/ z y)))) (* -8 (/ (pow z 2) (pow y 2)))) y) |
(/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal -16 binary64) (/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (*.f64 #s(literal -4 binary64) z)) y)) #s(literal 2 binary64)) y) |
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) (+ 1/2 (+ (* -2 (/ (pow z 2) (pow y 2))) (+ (* 2 (/ (pow z 2) (pow y 2))) (/ z y)))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y) #s(literal 1/2 binary64)) (*.f64 y y)) |
(* (pow y 2) (- (+ (* -1 (/ (+ (* -4 (pow z 3)) (* 4 (pow z 3))) (pow y 3))) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (+ 1/2 (+ (* -2 (/ (pow z 2) (pow y 2))) (+ (* 2 (/ (pow z 2) (pow y 2))) (/ z y)))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y) #s(literal 1/2 binary64)) (*.f64 y y)) |
(* 1/4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/4 binary64)) |
(* (pow y 2) (+ 1/4 (* -1 (/ (pow z 2) (pow y 2))))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 z y) (/.f64 z y))) (*.f64 y y)) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (+ 1 x) y)) (* -1 z)) y)) 1/2)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) z) y) #s(literal -1 binary64) #s(literal -1/2 binary64)) y) y) |
(* (pow y 2) (+ 1/2 (* -1 (/ (+ (* -1 z) (/ 1 y)) y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) z) y)) y) y) |
(* -1 (* y (- (* -1 (/ z y)) 1/2))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 z y) #s(literal -1 binary64) #s(literal -1/2 binary64))) |
(* -1 (/ (- (* 4 (/ z y)) 2) y)) |
(/.f64 (fma.f64 (/.f64 z y) #s(literal 4 binary64) #s(literal -2 binary64)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (+ (* -4 z) (* 8 (/ (pow z 2) y))) y)) 2) y)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (*.f64 #s(literal -4 binary64) z)) y) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (+ (* -4 z) (* -1 (/ (+ (* -8 (pow z 2)) (* 16 (/ (pow z 3) y))) y))) y)) 2) y)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 16 binary64) (*.f64 #s(literal -8 binary64) (*.f64 z z))) (neg.f64 y))) y) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 y)) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 x) (+ (* -2 (pow z 2)) (* 2 (pow z 2)))) y)) (* -1 z)) y)) 1/2)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) z) y) #s(literal -1 binary64) #s(literal -1/2 binary64)) y) y) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 (+ x (+ (* -4 (/ (pow z 3) y)) (* 4 (/ (pow z 3) y))))) (+ (* -2 (pow z 2)) (* 2 (pow z 2)))) y)) (* -1 z)) y)) 1/2)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) z) y) #s(literal -1 binary64) #s(literal -1/2 binary64)) y) y) |
(/ 1 (+ x (cos y))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)) |
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2))) |
(/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 y) z) (+.f64 (cos.f64 y) x)) #s(literal 1 binary64)) (+.f64 (cos.f64 y) x)) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(fma.f64 (/.f64 (+.f64 (sin.f64 y) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (+.f64 (cos.f64 y) x))) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 z (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)))) z (/.f64 (sin.f64 y) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
(* -1 z) |
(neg.f64 z) |
(- (+ 1 x) (* 1/2 (pow y 2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (+.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (+ x (* -1 (* y z)))) (* 1/2 (pow y 2))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(- (* 1/2 (pow y 2)) 1) |
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (+ (* 1/2 (pow y 2)) (* y z)) 1) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)) |
(+ (* -4 (/ z (pow y 2))) (* 2 (/ 1 y))) |
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) y) |
(+ (* z (- (* 8 (/ z (pow y 3))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(fma.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 8 binary64) z) y)) (*.f64 y y)) z (/.f64 #s(literal 2 binary64) y)) |
(+ (* z (- (* z (+ (* -16 (/ z (pow y 4))) (* 8 (/ 1 (pow y 3))))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) #s(literal -16 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) z (/.f64 #s(literal -4 binary64) (*.f64 y y))) z (/.f64 #s(literal 2 binary64) y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(/ -1 (* z (sin y))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z) |
(/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 z)) |
(/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z) |
(/.f64 (-.f64 (/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (/.f64 (+.f64 (cos.f64 y) x) (sin.f64 y))) (sin.f64 y))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z) |
(/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z) |
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z)) #s(literal 1 binary64)) (sin.f64 y)))) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* z (- (+ (/ 1 z) (/ x z)) (+ y (* 1/2 (/ (pow y 2) z))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (+.f64 #s(literal 1 binary64) x)) z) y) z) |
(* y z) |
(*.f64 y z) |
(* z (- (+ y (* 1/2 (/ (pow y 2) z))) (/ 1 z))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) z) y) z) |
(* z (+ 1 (* 1/2 (/ y z)))) |
(*.f64 (fma.f64 (/.f64 y z) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) |
(/ (+ 1 (* -1/2 (/ y z))) z) |
(/.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(/ (+ 1 (+ (* -1/2 (/ y z)) (* 1/4 (/ (pow y 2) (pow z 2))))) z) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) z) #s(literal 1 binary64)) z) |
(/ (- (+ 1 (+ (* -1/2 (/ y z)) (* -1/8 (/ (pow y 3) (pow z 3))))) (* -1/4 (/ (pow y 2) (pow z 2)))) z) |
(/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) z)) #s(literal 1 binary64)) z) |
(* z (- (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))) y)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (+.f64 #s(literal 1 binary64) x)) z) y) z) |
(* (pow z 2) (- (* 1/4 (/ (pow y 2) (pow z 2))) 1)) |
(*.f64 (*.f64 (fma.f64 (*.f64 y (/.f64 y (*.f64 z z))) #s(literal 1/4 binary64) #s(literal -1 binary64)) z) z) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* -1 (/ (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y)))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (/.f64 (+.f64 (cos.f64 y) x) (sin.f64 y))) (sin.f64 y))) z)) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y)))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (sin.f64 y))) (sin.f64 y)) (neg.f64 z)) (/.f64 (+.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z)) (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* -1 (* z (- (* -1 (/ (- (+ 1 x) (* 1/2 (pow y 2))) z)) (* -1 y)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (+.f64 #s(literal 1 binary64) x)) z) y) z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (- (* 1/2 (pow y 2)) 1) z))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) z) y) z) |
(* -1 (* z (- (* -1/2 (/ y z)) 1))) |
(fma.f64 (*.f64 (/.f64 y z) #s(literal -1/2 binary64)) (neg.f64 z) z) |
(* -1 (/ (- (* 1/2 (/ y z)) 1) z)) |
(/.f64 (fma.f64 (/.f64 y z) #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 z)) |
(* -1 (/ (- (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) z))) z)) 1) z)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) z) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 z)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (pow y 3) z)) (* 1/4 (pow y 2))) z)) (* -1/2 y)) z)) 1) z)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal 1/8 binary64))) (neg.f64 z))) z) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* -1 y)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (+.f64 #s(literal 1 binary64) x)) z) y) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 290 |
| 0 | 70 | 280 |
| 1 | 354 | 237 |
| 2 | 3343 | 237 |
| 0 | 9252 | 228 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(neg.f64 z) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(*.f64 y y) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))))) |
(-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64)))) |
#s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))) |
(fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) #s(literal -1 binary64)))) |
(-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) #s(literal -1 binary64))) |
(+.f64 (cos.f64 y) x) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) |
| Outputs |
|---|
(*.f64 (neg.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))))) |
(*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (*.f64 (fma.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y)))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (+.f64 x (cos.f64 y)) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64))) (-.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (*.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))))) |
(/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) |
(fma.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) z (+.f64 x (cos.f64 y))) |
(fma.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64) x) |
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (cos.f64 y)) #s(literal -1 binary64)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (cos.f64 y) x) #s(literal -1 binary64)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 1 binary64) (*.f64 (+.f64 x (cos.f64 y)) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))) |
(fma.f64 (+.f64 x (cos.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))) |
(fma.f64 x #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z)))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))) |
(fma.f64 #s(literal 1 binary64) x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (+.f64 x (cos.f64 y)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) |
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(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (neg.f64 z) z)) |
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 1/4 binary64))) (*.f64 (neg.f64 z) z)) |
(fma.f64 y (fabs.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y))) (*.f64 (neg.f64 z) z)) |
(fma.f64 y (fabs.f64 (*.f64 #s(literal 1/4 binary64) y)) (*.f64 (neg.f64 z) z)) |
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (neg.f64 z) z)) |
(fma.f64 y (*.f64 #s(literal 1/4 binary64) y) (*.f64 (neg.f64 z) z)) |
(fma.f64 (neg.f64 z) z (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) |
(fma.f64 z (neg.f64 z) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 z z)))) |
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 z z)) |
(-.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) y)) y)) |
(-.f64 (*.f64 (neg.f64 z) z) (*.f64 #s(literal -1/4 binary64) (*.f64 y y))) |
(-.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 (*.f64 y y)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 6 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) z) #s(literal 2 binary64))))))) |
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (neg.f64 z) z)) |
(+.f64 (*.f64 (neg.f64 z) z) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) |
Compiled 22 785 to 3 117 computations (86.3% saved)
27 alts after pruning (20 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 649 | 15 | 664 |
| Fresh | 5 | 5 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 656 | 27 | 683 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
| 58.7% | (fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (+ (cos y) x) (cos.f64 y))) | |
| 63.3% | (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 25.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) | |
| 56.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (+.f64 (/.f64 (*.f64 y z) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) | |
| 76.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))) | |
| 43.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) | |
| ✓ | 72.5% | (-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
| 63.3% | (-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 z (sin.f64 y))) | |
| ▶ | 86.9% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 64.9% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) | |
| 35.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) #s(approx (+ (* 1/4 (* y y)) (* (neg z) z)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 z y) (/.f64 z y))) (*.f64 y y))))) #s(literal -1 binary64)))) | |
| ▶ | 69.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
| 51.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) y))) #s(literal -1 binary64)))) | |
| 51.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (*.f64 #s(literal -4 binary64) z)) y) #s(literal 2 binary64)) y))) #s(literal -1 binary64)))) | |
| 51.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) | |
| ▶ | 55.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64)))) |
| 51.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y #s(approx (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z)))) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) | |
| ✓ | 48.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))))) |
| 45.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (*.f64 y z)))) | |
| ✓ | 63.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | 25.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| ✓ | 2.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
| ▶ | 11.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z))) |
| ✓ | 23.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| 11.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) | |
| ▶ | 11.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) |
Compiled 1 240 to 905 computations (27% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) | |
| cost-diff | 128 | (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) | |
| cost-diff | 192 | (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)) | |
| cost-diff | 320 | (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z))) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) | |
| cost-diff | 128 | (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)) | |
| cost-diff | 0 | (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) | |
| cost-diff | 0 | (fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (-.f64 x (fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) z) | |
| cost-diff | 0 | #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z))) | |
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 493 |
| 0 | 92 | 483 |
| 1 | 210 | 480 |
| 2 | 630 | 471 |
| 3 | 2816 | 471 |
| 4 | 7481 | 471 |
| 0 | 9203 | 455 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64)))) |
(-.f64 x (fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64))) |
x |
(fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64)) |
y |
(fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) |
(fma.f64 #s(literal 1/2 binary64) y z) |
#s(literal 1/2 binary64) |
z |
#s(literal -1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) |
#s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z))) |
(*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)) |
(neg.f64 y) |
y |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) |
(*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
z |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
#s(literal -1/6 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
(-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64))) |
x |
(fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)) |
y |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) |
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 #s(literal 1/4 binary64) y) z) |
(*.f64 #s(literal 1/4 binary64) y) |
#s(literal 1/4 binary64) |
z |
(*.f64 z z) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal -1 binary64) |
| Outputs |
|---|
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
y |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) y #s(literal -1 binary64)))) |
(-.f64 x (fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64))) |
(-.f64 x (fma.f64 (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) y #s(literal -1 binary64))) |
x |
(fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64)) |
(fma.f64 (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) y #s(literal -1 binary64)) |
y |
(fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) |
(fma.f64 #s(literal 1/2 binary64) y z) |
#s(literal 1/2 binary64) |
z |
#s(literal -1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) y))) |
#s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z))) |
#s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) y)) |
(*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)) |
(*.f64 (*.f64 z (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) y) |
(neg.f64 y) |
y |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z) (*.f64 y y) z) |
(*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z) |
z |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
#s(literal -1/6 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 y #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 #s(literal 1/4 binary64) z) y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z))))) |
(-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64))) |
(-.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 y #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 #s(literal 1/4 binary64) z) y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)))) |
x |
(fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)) |
(-.f64 (/.f64 y #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 #s(literal 1/4 binary64) z) y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z))) #s(literal 1 binary64)) |
y |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 #s(literal 1/4 binary64) z) y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 #s(literal 1/4 binary64) z) y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)) |
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 #s(literal 1/4 binary64) z) y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) z) y #s(literal -1/2 binary64)) (*.f64 z z)) |
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) z) y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 #s(literal 1/4 binary64) y) z) |
(*.f64 #s(literal 1/4 binary64) y) |
#s(literal 1/4 binary64) |
z |
(*.f64 z z) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.2796388360619553 | (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) | |
| accuracy | 5.892529276566726 | (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)) | |
| accuracy | 26.527986153525617 | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) | |
| accuracy | 31.259501039216385 | #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z))) | |
| accuracy | 0.0546875 | (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) | |
| accuracy | 4.690894785446217 | (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) | |
| accuracy | 30.1960149707983 | #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z))) | |
| accuracy | 47.68764889754769 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) | |
| accuracy | 0 | (-.f64 x (fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64))) | |
| accuracy | 0 | (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) | |
| accuracy | 0.0078125 | (fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64)) | |
| accuracy | 28.55727784924127 | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64)))) | |
| accuracy | 0 | (*.f64 (neg.f64 y) z) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 26.527986153525617 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z))) | |
| accuracy | 49.003798535680076 | #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z)) | |
| accuracy | 0.00390625 | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.006191259768442017 | (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| accuracy | 0.1171875 | (*.f64 z (sin.f64 y)) | |
| accuracy | 27.638901221095637 | #s(approx (cos y) #s(literal 1 binary64)) |
| 110.0ms | 256× | 0 | valid |
Compiled 818 to 118 computations (85.6% saved)
ival-mult: 30.0ms (36.2% of total)ival-add: 14.0ms (16.9% of total)ival-div: 8.0ms (9.6% of total)ival-sub: 8.0ms (9.6% of total)const: 7.0ms (8.4% of total)ival-sin: 6.0ms (7.2% of total)ival-cos: 6.0ms (7.2% of total)ival-neg: 2.0ms (2.4% of total)ival-fabs: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z (sin.f64 y)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64)))) |
(-.f64 x (fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64))) |
(fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64)) |
(fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) |
(*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) |
#s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)) |
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
(*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
#s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) |
| Outputs |
|---|
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
(- 1 (* y (+ z (* 1/2 y)))) |
(- (+ 1 x) (* y (+ z (* 1/2 y)))) |
(- 1 (* y (fabs (+ z (* 1/2 y))))) |
(- (+ 1 x) (* y (fabs (+ z (* 1/2 y))))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (- (+ 1 (/ 1 x)) (/ (* y (+ z (* 1/2 y))) x))) |
(* x (- (+ 1 (/ 1 x)) (/ (* y (fabs (+ z (* 1/2 y)))) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1 (* y (+ z (* 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1 (* y (fabs (+ z (* 1/2 y))))) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* -1 (* y z)) |
(* -1 y) |
(+ 1 (+ x (* -1 (* y (fabs (+ z (* 1/2 y))))))) |
-1 |
(- (* y (fabs (+ z (* 1/2 y)))) 1) |
(fabs (+ z (* 1/2 y))) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(/ 1 z) |
(+ (* -1/2 (/ y (pow z 2))) (/ 1 z)) |
(+ (* y (- (* 1/4 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)) |
(- (* y z) 1) |
(- (* y (+ z (* 1/2 y))) 1) |
-1/2 |
(- (* 1/4 (/ y z)) 1/2) |
(* -1/6 z) |
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z))) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(+ (* y (- (* y (+ (* -1/8 (/ y (pow z 4))) (* 1/4 (/ 1 (pow z 3))))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)) |
(/ -1/2 (pow z 2)) |
(- (* 1/4 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2)))) |
(* z (sin y)) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) (+ 1/2 (/ z y)))) |
(* -1 (* y (fabs (+ z (* 1/2 y))))) |
(* y (- (+ (/ 1 y) (/ x y)) (fabs (+ z (* 1/2 y))))) |
(* y (fabs (+ z (* 1/2 y)))) |
(* y (- (fabs (+ z (* 1/2 y))) (/ 1 y))) |
(* -1/120 (* (pow y 5) z)) |
(* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))) |
(* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))) |
(* -1 (* z (sin y))) |
(* 1/4 (/ (pow y 2) (pow z 3))) |
(* (pow y 2) (- (* 1/4 (/ 1 (pow z 3))) (* 1/2 (/ 1 (* y (pow z 2)))))) |
(* (pow y 2) (- (+ (/ 1 (* (pow y 2) z)) (* 1/4 (/ 1 (pow z 3)))) (/ 1/2 (* y (pow z 2))))) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (+ 1/2 (/ z y))) |
(* (pow y 2) (+ 1/2 (* -1 (/ (+ (* -1 z) (/ 1 y)) y)))) |
(* 1/4 (/ y z)) |
(* y (- (* 1/4 (/ 1 z)) (* 1/2 (/ 1 y)))) |
(* 1/120 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(/ 2 y) |
(/ (+ 2 (* -4 (/ z y))) y) |
(/ (+ 2 (+ (* -4 (/ z y)) (* 8 (/ (pow z 2) (pow y 2))))) y) |
(/ (- (+ 2 (+ (* -16 (/ (pow z 3) (pow y 3))) (* -4 (/ z y)))) (* -8 (/ (pow z 2) (pow y 2)))) y) |
(* 1/4 (/ y (pow z 3))) |
(* y (- (* 1/4 (/ 1 (pow z 3))) (* 1/2 (/ 1 (* y (pow z 2)))))) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (+ 1 x) y)) (* -1 z)) y)) 1/2)) |
(* -1 (* y (fabs (- z (* -1/2 y))))) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 (fabs (- z (* -1/2 y))))))) |
(* y (fabs (- z (* -1/2 y)))) |
(* -1 (* y (+ (* -1 (fabs (- z (* -1/2 y)))) (/ 1 y)))) |
(fabs (- z (* -1/2 y))) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))) |
(* (pow y 2) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow z 2))) (/ 1 (* y z))) y)) (* 1/4 (/ 1 (pow z 3))))) |
(* (pow y 2) (+ 1/2 (* -1 (/ (- (/ 1 y) z) y)))) |
(* -1 (* y (- (* 1/2 (/ 1 y)) (* 1/4 (/ 1 z))))) |
(* -1 (/ (- (* 4 (/ z y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -4 z) (* 8 (/ (pow z 2) y))) y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -4 z) (* -1 (/ (+ (* -8 (pow z 2)) (* 16 (/ (pow z 3) y))) y))) y)) 2) y)) |
(* -1 (* y (- (* 1/2 (/ 1 (* y (pow z 2)))) (* 1/4 (/ 1 (pow z 3)))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(- (+ 1 x) (* 1/2 (pow y 2))) |
(- (+ 1 (+ x (* -1 (* y z)))) (* 1/2 (pow y 2))) |
(* -1 (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
(/ (+ (* -1/2 (* y z)) (* 1/4 (pow y 2))) (pow z 3)) |
(/ (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))) (pow z 3)) |
(- (* 1/2 (pow y 2)) 1) |
(- (+ (* 1/2 (pow y 2)) (* y z)) 1) |
(/ (+ (* -1/2 z) (* 1/4 y)) z) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(+ (* -4 (/ z (pow y 2))) (* 2 (/ 1 y))) |
(+ (* z (- (* 8 (/ z (pow y 3))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(+ (* z (- (* z (+ (* -16 (/ z (pow y 4))) (* 8 (/ 1 (pow y 3))))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(/ (+ (* -1/2 z) (* 1/4 y)) (pow z 3)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ 1 z) (/ x z)) (+ y (* 1/2 (/ (pow y 2) z))))) |
(/ (+ 1 (* -1/2 (/ y z))) z) |
(/ (+ 1 (+ (* -1/2 (/ y z)) (* 1/4 (/ (pow y 2) (pow z 2))))) z) |
(* z (+ y (* -1 (/ (+ 1 (* -1/2 (pow y 2))) z)))) |
(/ (- (+ 1 (+ (* -1/2 (/ y z)) (* -1/8 (/ (pow y 3) (pow z 3))))) (* -1/4 (/ (pow y 2) (pow z 2)))) z) |
(/ (- (* 1/4 (/ y z)) 1/2) (pow z 2)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (- (+ 1 x) (* 1/2 (pow y 2))) z)) (* -1 y)))) |
(- (+ 1 x) (* y (fabs (- (* 1/2 y) (* -1 z))))) |
(- (* y (fabs (- (* 1/2 y) (* -1 z)))) 1) |
(fabs (- (* 1/2 y) (* -1 z))) |
(* y (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(* -1 (/ (- (* 1/2 (/ y z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) z))) z)) 1) z)) |
(* -1 (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))))) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (pow y 3) z)) (* 1/4 (pow y 2))) z)) (* -1/2 y)) z)) 1) z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | y | @ | inf | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (+ (* 1/2 y) z)) -1)) (* (neg y) z) (neg y) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (fabs (+ (* 1/2 y) z))) -1)) (+ (* y (fabs (+ (* 1/2 y) z))) -1) (fabs (+ (* 1/2 y) z)) (* (neg y) (+ (* (* z (+ (* 1/120 (* y y)) -1/6)) (* y y)) z)) (- (+ x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (+ (* (/ (+ -1/2 (/ (* 1/4 y) z)) (* z z)) y) (/ 1 z)) (+ (* y (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))))) -1) (+ -1/2 (/ (* 1/4 y) z)) (- (+ x (cos y)) (* z (sin y))) (* z (+ (* 1/120 (* y y)) -1/6)) (+ (* 1/120 (* y y)) -1/6) (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/ (+ -1/2 (/ (* 1/4 y) z)) (* z z))) |
| 9.0ms | z | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (+ (* 1/2 y) z)) -1)) (* (neg y) z) (neg y) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (fabs (+ (* 1/2 y) z))) -1)) (+ (* y (fabs (+ (* 1/2 y) z))) -1) (fabs (+ (* 1/2 y) z)) (* (neg y) (+ (* (* z (+ (* 1/120 (* y y)) -1/6)) (* y y)) z)) (- (+ x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (+ (* (/ (+ -1/2 (/ (* 1/4 y) z)) (* z z)) y) (/ 1 z)) (+ (* y (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))))) -1) (+ -1/2 (/ (* 1/4 y) z)) (- (+ x (cos y)) (* z (sin y))) (* z (+ (* 1/120 (* y y)) -1/6)) (+ (* 1/120 (* y y)) -1/6) (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/ (+ -1/2 (/ (* 1/4 y) z)) (* z z))) |
| 6.0ms | z | @ | inf | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (+ (* 1/2 y) z)) -1)) (* (neg y) z) (neg y) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (fabs (+ (* 1/2 y) z))) -1)) (+ (* y (fabs (+ (* 1/2 y) z))) -1) (fabs (+ (* 1/2 y) z)) (* (neg y) (+ (* (* z (+ (* 1/120 (* y y)) -1/6)) (* y y)) z)) (- (+ x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (+ (* (/ (+ -1/2 (/ (* 1/4 y) z)) (* z z)) y) (/ 1 z)) (+ (* y (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))))) -1) (+ -1/2 (/ (* 1/4 y) z)) (- (+ x (cos y)) (* z (sin y))) (* z (+ (* 1/120 (* y y)) -1/6)) (+ (* 1/120 (* y y)) -1/6) (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/ (+ -1/2 (/ (* 1/4 y) z)) (* z z))) |
| 5.0ms | z | @ | -inf | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (+ (* 1/2 y) z)) -1)) (* (neg y) z) (neg y) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (fabs (+ (* 1/2 y) z))) -1)) (+ (* y (fabs (+ (* 1/2 y) z))) -1) (fabs (+ (* 1/2 y) z)) (* (neg y) (+ (* (* z (+ (* 1/120 (* y y)) -1/6)) (* y y)) z)) (- (+ x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (+ (* (/ (+ -1/2 (/ (* 1/4 y) z)) (* z z)) y) (/ 1 z)) (+ (* y (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))))) -1) (+ -1/2 (/ (* 1/4 y) z)) (- (+ x (cos y)) (* z (sin y))) (* z (+ (* 1/120 (* y y)) -1/6)) (+ (* 1/120 (* y y)) -1/6) (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/ (+ -1/2 (/ (* 1/4 y) z)) (* z z))) |
| 4.0ms | y | @ | -inf | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (+ (* 1/2 y) z)) -1)) (* (neg y) z) (neg y) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* y (fabs (+ (* 1/2 y) z))) -1)) (+ (* y (fabs (+ (* 1/2 y) z))) -1) (fabs (+ (* 1/2 y) z)) (* (neg y) (+ (* (* z (+ (* 1/120 (* y y)) -1/6)) (* y y)) z)) (- (+ x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (+ (* (/ (+ -1/2 (/ (* 1/4 y) z)) (* z z)) y) (/ 1 z)) (+ (* y (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))))) -1) (+ -1/2 (/ (* 1/4 y) z)) (- (+ x (cos y)) (* z (sin y))) (* z (+ (* 1/120 (* y y)) -1/6)) (+ (* 1/120 (* y y)) -1/6) (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/ (+ -1/2 (/ (* 1/4 y) z)) (* z z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 448 | 1576 |
| 1 | 1496 | 1528 |
| 2 | 5067 | 1503 |
| 0 | 8372 | 1387 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
(- 1 (* y (+ z (* 1/2 y)))) |
(- (+ 1 x) (* y (+ z (* 1/2 y)))) |
(- 1 (* y (fabs (+ z (* 1/2 y))))) |
(- (+ 1 x) (* y (fabs (+ z (* 1/2 y))))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (- (+ 1 (/ 1 x)) (/ (* y (+ z (* 1/2 y))) x))) |
(* x (- (+ 1 (/ 1 x)) (/ (* y (fabs (+ z (* 1/2 y)))) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1 (* y (+ z (* 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1 (* y (fabs (+ z (* 1/2 y))))) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* -1 (* y z)) |
(* -1 y) |
(+ 1 (+ x (* -1 (* y (fabs (+ z (* 1/2 y))))))) |
-1 |
(- (* y (fabs (+ z (* 1/2 y)))) 1) |
(fabs (+ z (* 1/2 y))) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(/ 1 z) |
(+ (* -1/2 (/ y (pow z 2))) (/ 1 z)) |
(+ (* y (- (* 1/4 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)) |
(- (* y z) 1) |
(- (* y (+ z (* 1/2 y))) 1) |
-1/2 |
(- (* 1/4 (/ y z)) 1/2) |
(* -1/6 z) |
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z))) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(+ (* y (- (* y (+ (* -1/8 (/ y (pow z 4))) (* 1/4 (/ 1 (pow z 3))))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)) |
(/ -1/2 (pow z 2)) |
(- (* 1/4 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2)))) |
(* z (sin y)) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) (+ 1/2 (/ z y)))) |
(* -1 (* y (fabs (+ z (* 1/2 y))))) |
(* y (- (+ (/ 1 y) (/ x y)) (fabs (+ z (* 1/2 y))))) |
(* y (fabs (+ z (* 1/2 y)))) |
(* y (- (fabs (+ z (* 1/2 y))) (/ 1 y))) |
(* -1/120 (* (pow y 5) z)) |
(* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))) |
(* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))) |
(* -1 (* z (sin y))) |
(* 1/4 (/ (pow y 2) (pow z 3))) |
(* (pow y 2) (- (* 1/4 (/ 1 (pow z 3))) (* 1/2 (/ 1 (* y (pow z 2)))))) |
(* (pow y 2) (- (+ (/ 1 (* (pow y 2) z)) (* 1/4 (/ 1 (pow z 3)))) (/ 1/2 (* y (pow z 2))))) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (+ 1/2 (/ z y))) |
(* (pow y 2) (+ 1/2 (* -1 (/ (+ (* -1 z) (/ 1 y)) y)))) |
(* 1/4 (/ y z)) |
(* y (- (* 1/4 (/ 1 z)) (* 1/2 (/ 1 y)))) |
(* 1/120 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(/ 2 y) |
(/ (+ 2 (* -4 (/ z y))) y) |
(/ (+ 2 (+ (* -4 (/ z y)) (* 8 (/ (pow z 2) (pow y 2))))) y) |
(/ (- (+ 2 (+ (* -16 (/ (pow z 3) (pow y 3))) (* -4 (/ z y)))) (* -8 (/ (pow z 2) (pow y 2)))) y) |
(* 1/4 (/ y (pow z 3))) |
(* y (- (* 1/4 (/ 1 (pow z 3))) (* 1/2 (/ 1 (* y (pow z 2)))))) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (+ 1 x) y)) (* -1 z)) y)) 1/2)) |
(* -1 (* y (fabs (- z (* -1/2 y))))) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 (fabs (- z (* -1/2 y))))))) |
(* y (fabs (- z (* -1/2 y)))) |
(* -1 (* y (+ (* -1 (fabs (- z (* -1/2 y)))) (/ 1 y)))) |
(fabs (- z (* -1/2 y))) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))) |
(* (pow y 2) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow z 2))) (/ 1 (* y z))) y)) (* 1/4 (/ 1 (pow z 3))))) |
(* (pow y 2) (+ 1/2 (* -1 (/ (- (/ 1 y) z) y)))) |
(* -1 (* y (- (* 1/2 (/ 1 y)) (* 1/4 (/ 1 z))))) |
(* -1 (/ (- (* 4 (/ z y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -4 z) (* 8 (/ (pow z 2) y))) y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -4 z) (* -1 (/ (+ (* -8 (pow z 2)) (* 16 (/ (pow z 3) y))) y))) y)) 2) y)) |
(* -1 (* y (- (* 1/2 (/ 1 (* y (pow z 2)))) (* 1/4 (/ 1 (pow z 3)))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(- (+ 1 x) (* 1/2 (pow y 2))) |
(- (+ 1 (+ x (* -1 (* y z)))) (* 1/2 (pow y 2))) |
(* -1 (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
(/ (+ (* -1/2 (* y z)) (* 1/4 (pow y 2))) (pow z 3)) |
(/ (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))) (pow z 3)) |
(- (* 1/2 (pow y 2)) 1) |
(- (+ (* 1/2 (pow y 2)) (* y z)) 1) |
(/ (+ (* -1/2 z) (* 1/4 y)) z) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(+ (* -4 (/ z (pow y 2))) (* 2 (/ 1 y))) |
(+ (* z (- (* 8 (/ z (pow y 3))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(+ (* z (- (* z (+ (* -16 (/ z (pow y 4))) (* 8 (/ 1 (pow y 3))))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(/ (+ (* -1/2 z) (* 1/4 y)) (pow z 3)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ 1 z) (/ x z)) (+ y (* 1/2 (/ (pow y 2) z))))) |
(/ (+ 1 (* -1/2 (/ y z))) z) |
(/ (+ 1 (+ (* -1/2 (/ y z)) (* 1/4 (/ (pow y 2) (pow z 2))))) z) |
(* z (+ y (* -1 (/ (+ 1 (* -1/2 (pow y 2))) z)))) |
(/ (- (+ 1 (+ (* -1/2 (/ y z)) (* -1/8 (/ (pow y 3) (pow z 3))))) (* -1/4 (/ (pow y 2) (pow z 2)))) z) |
(/ (- (* 1/4 (/ y z)) 1/2) (pow z 2)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (- (+ 1 x) (* 1/2 (pow y 2))) z)) (* -1 y)))) |
(- (+ 1 x) (* y (fabs (- (* 1/2 y) (* -1 z))))) |
(- (* y (fabs (- (* 1/2 y) (* -1 z)))) 1) |
(fabs (- (* 1/2 y) (* -1 z))) |
(* y (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(* -1 (/ (- (* 1/2 (/ y z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) z))) z)) 1) z)) |
(* -1 (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))))) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (pow y 3) z)) (* 1/4 (pow y 2))) z)) (* -1/2 y)) z)) 1) z)) |
| Outputs |
|---|
(- (cos y) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(- 1 (* y (+ z (* 1/2 y)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) y z) y)) |
(- (+ 1 x) (* y (+ z (* 1/2 y)))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) y z) y))) |
(- 1 (* y (fabs (+ z (* 1/2 y))))) |
(fma.f64 (neg.f64 y) (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal 1 binary64)) |
(- (+ 1 x) (* y (fabs (+ z (* 1/2 y))))) |
(-.f64 x (fma.f64 (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) y #s(literal -1 binary64))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(* x (- (+ 1 (/ 1 x)) (/ (* y (+ z (* 1/2 y))) x))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) y z) y)) x) #s(literal 1 binary64)) x) |
(* x (- (+ 1 (/ 1 x)) (/ (* y (fabs (+ z (* 1/2 y)))) x))) |
(+.f64 x (*.f64 (/.f64 (fma.f64 (neg.f64 y) (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal 1 binary64)) x) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
(* -1 (* x (- (* -1 (/ (- 1 (* y (+ z (* 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) y z) y)) x))) |
(* -1 (* x (- (* -1 (/ (- 1 (* y (fabs (+ z (* 1/2 y))))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) y #s(literal -1 binary64)) x) x (neg.f64 x))) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1 (* y z)))) |
(-.f64 x (fma.f64 z y #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64)) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64)) |
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 (fma.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 z y)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 y) |
(neg.f64 y) |
(+ 1 (+ x (* -1 (* y (fabs (+ z (* 1/2 y))))))) |
(-.f64 x (fma.f64 (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) y #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* y (fabs (+ z (* 1/2 y)))) 1) |
(fma.f64 (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) y #s(literal -1 binary64)) |
(fabs (+ z (* 1/2 y))) |
(fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (neg.f64 z) y)) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(*.f64 (fma.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))))) y) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1/2 (/ y (pow z 2))) (/ 1 z)) |
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) z) |
(+ (* y (- (* 1/4 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)) |
(fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y z) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) z) z) y (/.f64 #s(literal 1 binary64) z)) |
(- (* y z) 1) |
(fma.f64 z y #s(literal -1 binary64)) |
(- (* y (+ z (* 1/2 y))) 1) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/4 (/ y z)) 1/2) |
(fma.f64 (/.f64 y z) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) |
(* -1/6 z) |
(*.f64 #s(literal -1/6 binary64) z) |
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow y 2)) 1/6) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(+ (* y (- (* y (+ (* -1/8 (/ y (pow z 4))) (* 1/4 (/ 1 (pow z 3))))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)) |
(fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (/.f64 (fma.f64 (/.f64 y z) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) z) z)) y (/.f64 #s(literal 1 binary64) z)) |
(/ -1/2 (pow z 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 z z)) |
(- (* 1/4 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2)))) |
(/.f64 (/.f64 (fma.f64 (/.f64 y z) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) z) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1/2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y) y) |
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) (+ 1/2 (/ z y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (/.f64 (+.f64 #s(literal 1 binary64) x) y)) y)) y) y) |
(* -1 (* y (fabs (+ z (* 1/2 y))))) |
(*.f64 (neg.f64 y) (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z))) |
(* y (- (+ (/ 1 y) (/ x y)) (fabs (+ z (* 1/2 y))))) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z))) y) |
(* y (fabs (+ z (* 1/2 y)))) |
(*.f64 (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) y) |
(* y (- (fabs (+ z (* 1/2 y))) (/ 1 y))) |
(fma.f64 (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) y #s(literal -1 binary64)) |
(* -1/120 (* (pow y 5) z)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) z) #s(literal -1/120 binary64)) |
(* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 z y) y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) z)) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (/.f64 z y) y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) z)) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64))) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(* 1/4 (/ (pow y 2) (pow z 3))) |
(*.f64 (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/4 binary64)) |
(* (pow y 2) (- (* 1/4 (/ 1 (pow z 3))) (* 1/2 (/ 1 (* y (pow z 2)))))) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) z) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z z)) (*.f64 y y)) |
(* (pow y 2) (- (+ (/ 1 (* (pow y 2) z)) (* 1/4 (/ 1 (pow z 3)))) (/ 1/2 (* y (pow z 2))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) z) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) z) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z z))) (*.f64 y y)) |
(* 1/2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(* (pow y 2) (+ 1/2 (/ z y))) |
(*.f64 (*.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) y) y) |
(* (pow y 2) (+ 1/2 (* -1 (/ (+ (* -1 z) (/ 1 y)) y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) z) y)) y) y) |
(* 1/4 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/4 binary64)) |
(* y (- (* 1/4 (/ 1 z)) (* 1/2 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) z) (/.f64 #s(literal 1/2 binary64) y)) y) |
(* 1/120 (* (pow y 2) z)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) z)) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 z y) y) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) z)) y) y) |
(* 1/120 (pow y 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 y y)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) y) y) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
(/ (+ 2 (* -4 (/ z y))) y) |
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) y) |
(/ (+ 2 (+ (* -4 (/ z y)) (* 8 (/ (pow z 2) (pow y 2))))) y) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (*.f64 #s(literal -4 binary64) z)) y) #s(literal 2 binary64)) y) |
(/ (- (+ 2 (+ (* -16 (/ (pow z 3) (pow y 3))) (* -4 (/ z y)))) (* -8 (/ (pow z 2) (pow y 2)))) y) |
(/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal -16 binary64) (/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (*.f64 #s(literal -4 binary64) z)) y)) #s(literal 2 binary64)) y) |
(* 1/4 (/ y (pow z 3))) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) #s(literal 1/4 binary64)) |
(* y (- (* 1/4 (/ 1 (pow z 3))) (* 1/2 (/ 1 (* y (pow z 2)))))) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) z) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z z)) y) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (+ 1 x) y)) (* -1 z)) y)) 1/2)) |
(*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (/.f64 (+.f64 #s(literal 1 binary64) x) y)) y)) y) y) |
(* -1 (* y (fabs (- z (* -1/2 y))))) |
(*.f64 (neg.f64 y) (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z))) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 (fabs (- z (* -1/2 y))))))) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z))) y) |
(* y (fabs (- z (* -1/2 y)))) |
(*.f64 (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) y) |
(* -1 (* y (+ (* -1 (fabs (- z (* -1/2 y)))) (/ 1 y)))) |
(fma.f64 (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) y #s(literal -1 binary64)) |
(fabs (- z (* -1/2 y))) |
(fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 z y) y) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) z))) (pow.f64 y #s(literal 5 binary64))) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 z y) y) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/120 binary64) z (/.f64 z (pow.f64 y #s(literal 4 binary64)))))) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 2) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow z 2))) (/ 1 (* y z))) y)) (* 1/4 (/ 1 (pow z 3))))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1/2 binary64) z)) z) y)) y) y) |
(* (pow y 2) (+ 1/2 (* -1 (/ (- (/ 1 y) z) y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) z) y)) y) y) |
(* -1 (* y (- (* 1/2 (/ 1 y)) (* 1/4 (/ 1 z))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/4 binary64) z)) (neg.f64 y)) |
(* -1 (/ (- (* 4 (/ z y)) 2) y)) |
(/.f64 (fma.f64 (/.f64 z y) #s(literal 4 binary64) #s(literal -2 binary64)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (+ (* -4 z) (* 8 (/ (pow z 2) y))) y)) 2) y)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (*.f64 #s(literal -4 binary64) z)) y)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (+ (* -4 z) (* -1 (/ (+ (* -8 (pow z 2)) (* 16 (/ (pow z 3) y))) y))) y)) 2) y)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 16 binary64) (*.f64 #s(literal -8 binary64) (*.f64 z z))) (neg.f64 y))) y)) (neg.f64 y)) |
(* -1 (* y (- (* 1/2 (/ 1 (* y (pow z 2)))) (* 1/4 (/ 1 (pow z 3)))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 z z) y))) (neg.f64 y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(- (+ 1 x) (* 1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (+ x (* -1 (* y z)))) (* 1/2 (pow y 2))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) y z) y))) |
(* -1 (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) (neg.f64 y)) |
(/ (+ (* -1/2 (* y z)) (* 1/4 (pow y 2))) (pow z 3)) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))) (pow z 3)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y z) z (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) (pow.f64 z #s(literal 3 binary64))) |
(- (* 1/2 (pow y 2)) 1) |
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (+ (* 1/2 (pow y 2)) (* y z)) 1) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)) |
(/ (+ (* -1/2 z) (* 1/4 y)) z) |
(fma.f64 (/.f64 y z) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) |
(+ (* -4 (/ z (pow y 2))) (* 2 (/ 1 y))) |
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) y) |
(+ (* z (- (* 8 (/ z (pow y 3))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(fma.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 8 binary64) z) y)) (*.f64 y y)) z (/.f64 #s(literal 2 binary64) y)) |
(+ (* z (- (* z (+ (* -16 (/ z (pow y 4))) (* 8 (/ 1 (pow y 3))))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -16 binary64) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) z (/.f64 #s(literal -4 binary64) (*.f64 y y))) z (/.f64 #s(literal 2 binary64) y)) |
(/ (+ (* -1/2 z) (* 1/4 y)) (pow z 3)) |
(/.f64 (/.f64 (fma.f64 (/.f64 y z) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) z) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* z (- (+ (/ 1 z) (/ x z)) (+ y (* 1/2 (/ (pow y 2) z))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) x)) z) y) z) |
(/ (+ 1 (* -1/2 (/ y z))) z) |
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) z) |
(/ (+ 1 (+ (* -1/2 (/ y z)) (* 1/4 (/ (pow y 2) (pow z 2))))) z) |
(fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y z) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) z) z) y (/.f64 #s(literal 1 binary64) z)) |
(* z (+ y (* -1 (/ (+ 1 (* -1/2 (pow y 2))) z)))) |
(*.f64 (-.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) z) |
(/ (- (+ 1 (+ (* -1/2 (/ y z)) (* -1/8 (/ (pow y 3) (pow z 3))))) (* -1/4 (/ (pow y 2) (pow z 2)))) z) |
(/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 y z)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) z)) #s(literal 1 binary64)) z) |
(/ (- (* 1/4 (/ y z)) 1/2) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 y z) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) z) z) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* -1 (* z (- (* -1 (/ (- (+ 1 x) (* 1/2 (pow y 2))) z)) (* -1 y)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) x)) z) y) z) |
(- (+ 1 x) (* y (fabs (- (* 1/2 y) (* -1 z))))) |
(-.f64 x (fma.f64 (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) y #s(literal -1 binary64))) |
(- (* y (fabs (- (* 1/2 y) (* -1 z)))) 1) |
(fma.f64 (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) y #s(literal -1 binary64)) |
(fabs (- (* 1/2 y) (* -1 z))) |
(fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) |
(* y (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) (neg.f64 y)) |
(* -1 (/ (- (* 1/2 (/ y z)) 1) z)) |
(/.f64 (fma.f64 (/.f64 y z) #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 z)) |
(* -1 (/ (- (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) z))) z)) 1) z)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 y z)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))))) |
(*.f64 (-.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) z) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (pow y 3) z)) (* 1/4 (pow y 2))) z)) (* -1/2 y)) z)) 1) z)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal 1/8 binary64))) (neg.f64 z))) z)) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 356 |
| 0 | 92 | 348 |
| 1 | 433 | 321 |
| 2 | 4052 | 315 |
| 0 | 8331 | 309 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z (sin.f64 y)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64)))) |
(-.f64 x (fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64))) |
(fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64)) |
(fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) |
(*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) |
#s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)) |
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
(*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
#s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(literal -1 binary64))) |
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(fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) y) (neg.f64 z)) (/.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 z)) (/.f64 #s(literal -1/2 binary64) (*.f64 z z))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fabs.f64 z)) (/.f64 (/.f64 y z) (fabs.f64 z)) (/.f64 #s(literal -1/2 binary64) (*.f64 z z))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 z)) (/.f64 (/.f64 y z) (neg.f64 z)) (/.f64 #s(literal -1/2 binary64) (*.f64 z z))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) z) (/.f64 (/.f64 y z) z) (/.f64 #s(literal -1/2 binary64) (*.f64 z z))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) y) z) (pow.f64 z #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 z z))) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) y) (pow.f64 z #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 z z))) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 y z) (*.f64 z z)) (/.f64 #s(literal -1/2 binary64) (*.f64 z z))) |
(fma.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) y) (pow.f64 z #s(literal -3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 z z) (fma.f64 (/.f64 y z) #s(literal 1/4 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) y) (pow.f64 z #s(literal -3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 z z))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 z z)) (*.f64 (*.f64 #s(literal 1/4 binary64) y) (pow.f64 z #s(literal -3 binary64)))) |
Compiled 21 624 to 2 868 computations (86.7% saved)
29 alts after pruning (22 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 494 | 7 | 501 |
| Fresh | 0 | 15 | 15 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 6 | 7 |
| Total | 499 | 29 | 528 |
| Status | Accuracy | Program |
|---|---|---|
| 86.9% | (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 58.7% | (fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (+ (cos y) x) (cos.f64 y))) | |
| 63.3% | (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 25.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) | |
| 56.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (+.f64 (/.f64 (*.f64 y z) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) | |
| 76.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))) | |
| 43.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) | |
| ✓ | 72.5% | (-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
| 63.3% | (-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 z (sin.f64 y))) | |
| 64.9% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) | |
| 35.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) #s(approx (+ (* 1/4 (* y y)) (* (neg z) z)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 z y) (/.f64 z y))) (*.f64 y y))))) #s(literal -1 binary64)))) | |
| 69.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/4 binary64) z) #s(literal -1/2 binary64)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) | |
| 69.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 #s(approx (+ -1/2 (/ (* 1/4 y) z)) (*.f64 (/.f64 y z) #s(literal 1/4 binary64))) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) | |
| 51.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) y))) #s(literal -1 binary64)))) | |
| 51.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (*.f64 #s(literal -4 binary64) z)) y) #s(literal 2 binary64)) y))) #s(literal -1 binary64)))) | |
| 51.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) | |
| 51.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y #s(approx (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z)))) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) | |
| ✓ | 48.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))))) |
| 45.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (*.f64 y z)))) | |
| ✓ | 63.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | 25.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| ✓ | 2.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
| ✓ | 11.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z))) |
| 8.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (fabs (+ (* 1/2 y) z))) -1)) (*.f64 (neg.f64 y) (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z))))) | |
| ✓ | 23.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| 9.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) | |
| 11.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) | |
| 11.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (fma.f64 (*.f64 z #s(literal 1/120 binary64)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z)))) | |
| 11.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z)))) |
Compiled 1 990 to 861 computations (56.7% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y #s(approx (+ (* 1/2 y) z) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y #s(approx (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z)))) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (fabs (+ (* 1/2 y) z))) -1)) (*.f64 (neg.f64 y) (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64) y) z #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (fma.f64 (*.f64 z #s(literal 1/120 binary64)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (+.f64 (/.f64 (*.f64 y z) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 #s(approx (+ -1/2 (/ (* 1/4 y) z)) (*.f64 (/.f64 y z) #s(literal 1/4 binary64))) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/4 binary64) z) #s(literal -1/2 binary64)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (*.f64 #s(literal -4 binary64) z)) y) #s(literal 2 binary64)) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) #s(approx (+ (* 1/4 (* y y)) (* (neg z) z)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 z y) (/.f64 z y))) (*.f64 y y))))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 z (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (+ (cos y) x) (cos.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) |
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
4 calls:
| 14.0ms | y |
| 14.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 12.0ms | z |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y #s(approx (+ (* 1/2 y) z) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y #s(approx (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z)))) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (fabs (+ (* 1/2 y) z))) -1)) (*.f64 (neg.f64 y) (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64) y) z #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (fma.f64 (*.f64 z #s(literal 1/120 binary64)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (+.f64 (/.f64 (*.f64 y z) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 #s(approx (+ -1/2 (/ (* 1/4 y) z)) (*.f64 (/.f64 y z) #s(literal 1/4 binary64))) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/4 binary64) z) #s(literal -1/2 binary64)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (*.f64 #s(literal -4 binary64) z)) y) #s(literal 2 binary64)) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) #s(approx (+ (* 1/4 (* y y)) (* (neg z) z)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 z y) (/.f64 z y))) (*.f64 y y))))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 z (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (+ (cos y) x) (cos.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 14.0ms | y |
| 13.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 11.0ms | z |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y #s(approx (+ (* 1/2 y) z) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y #s(approx (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z)))) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (fabs (+ (* 1/2 y) z))) -1)) (*.f64 (neg.f64 y) (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64) y) z #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (fma.f64 (*.f64 z #s(literal 1/120 binary64)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (+.f64 (/.f64 (*.f64 y z) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 #s(approx (+ -1/2 (/ (* 1/4 y) z)) (*.f64 (/.f64 y z) #s(literal 1/4 binary64))) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/4 binary64) z) #s(literal -1/2 binary64)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (*.f64 #s(literal -4 binary64) z)) y) #s(literal 2 binary64)) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) #s(approx (+ (* 1/4 (* y y)) (* (neg z) z)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 z y) (/.f64 z y))) (*.f64 y y))))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 z (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (+ (cos y) x) (cos.f64 y))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
4 calls:
| 13.0ms | z |
| 13.0ms | x |
| 11.0ms | y |
| 11.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | x |
| 88.7% | 2 | y |
| 99.7% | 3 | z |
| 99.8% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y #s(approx (+ (* 1/2 y) z) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y #s(approx (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z)))) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (fabs (+ (* 1/2 y) z))) -1)) (*.f64 (neg.f64 y) (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64) y) z #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (fma.f64 (*.f64 z #s(literal 1/120 binary64)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (+.f64 (/.f64 (*.f64 y z) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 #s(approx (+ -1/2 (/ (* 1/4 y) z)) (*.f64 (/.f64 y z) #s(literal 1/4 binary64))) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/4 binary64) z) #s(literal -1/2 binary64)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (*.f64 #s(literal -4 binary64) z)) y) #s(literal 2 binary64)) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) #s(approx (+ (* 1/4 (* y y)) (* (neg z) z)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 z y) (/.f64 z y))) (*.f64 y y))))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
3 calls:
| 12.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 11.0ms | z |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.9% | 1 | x |
| 94.2% | 3 | z |
| 93.8% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 11 to 14 computations (-27.3% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y #s(approx (+ (* 1/2 y) z) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y #s(approx (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z)))) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (fabs (+ (* 1/2 y) z))) -1)) (*.f64 (neg.f64 y) (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64) y) z #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (fma.f64 (*.f64 z #s(literal 1/120 binary64)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (+.f64 (/.f64 (*.f64 y z) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 #s(approx (+ -1/2 (/ (* 1/4 y) z)) (*.f64 (/.f64 y z) #s(literal 1/4 binary64))) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/4 binary64) z) #s(literal -1/2 binary64)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (*.f64 #s(literal -4 binary64) z)) y) #s(literal 2 binary64)) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) #s(approx (+ (* 1/4 (* y y)) (* (neg z) z)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 z y) (/.f64 z y))) (*.f64 y y))))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
| Outputs |
|---|
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
1 calls:
| 11.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 3 | z |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y #s(approx (+ (* 1/2 y) z) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y #s(approx (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z)))) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (fabs (+ (* 1/2 y) z))) -1)) (*.f64 (neg.f64 y) (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64) y) z #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (fma.f64 (*.f64 z #s(literal 1/120 binary64)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (+.f64 (/.f64 (*.f64 y z) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 #s(approx (+ -1/2 (/ (* 1/4 y) z)) (*.f64 (/.f64 y z) #s(literal 1/4 binary64))) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/4 binary64) z) #s(literal -1/2 binary64)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (*.f64 #s(literal -4 binary64) z)) y) #s(literal 2 binary64)) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) #s(approx (+ (* 1/4 (* y y)) (* (neg z) z)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 z y) (/.f64 z y))) (*.f64 y y))))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
4 calls:
| 10.0ms | z |
| 10.0ms | x |
| 10.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.9% | 1 | x |
| 86.9% | 1 | y |
| 86.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 86.9% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y #s(approx (+ (* 1/2 y) z) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y #s(approx (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z)))) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (fabs (+ (* 1/2 y) z))) -1)) (*.f64 (neg.f64 y) (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64) y) z #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (fma.f64 (*.f64 z #s(literal 1/120 binary64)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (+.f64 (/.f64 (*.f64 y z) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 #s(approx (+ -1/2 (/ (* 1/4 y) z)) (*.f64 (/.f64 y z) #s(literal 1/4 binary64))) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/4 binary64) z) #s(literal -1/2 binary64)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (*.f64 #s(literal -4 binary64) z)) y) #s(literal 2 binary64)) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) #s(approx (+ (* 1/4 (* y y)) (* (neg z) z)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 z y) (/.f64 z y))) (*.f64 y y))))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 #s(approx (+ -1/2 (/ (* 1/4 y) z)) (*.f64 (/.f64 y z) #s(literal 1/4 binary64))) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
4 calls:
| 10.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 10.0ms | x |
| 9.0ms | y |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.9% | 1 | y |
| 75.5% | 3 | z |
| 69.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 69.9% | 1 | x |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y #s(approx (+ (* 1/2 y) z) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y #s(approx (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z)))) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (fabs (+ (* 1/2 y) z))) -1)) (*.f64 (neg.f64 y) (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64) y) z #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (fma.f64 (*.f64 z #s(literal 1/120 binary64)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (+.f64 (/.f64 (*.f64 y z) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 #s(approx (+ -1/2 (/ (* 1/4 y) z)) (*.f64 (/.f64 y z) #s(literal 1/4 binary64))) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/4 binary64) z) #s(literal -1/2 binary64)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (*.f64 #s(literal -4 binary64) z)) y) #s(literal 2 binary64)) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) #s(approx (+ (* 1/4 (* y y)) (* (neg z) z)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 z y) (/.f64 z y))) (*.f64 y y))))) #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 #s(approx (+ -1/2 (/ (* 1/4 y) z)) (*.f64 (/.f64 y z) #s(literal 1/4 binary64))) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
2 calls:
| 10.0ms | x |
| 8.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.9% | 1 | x |
| 69.9% | 1 | z |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y #s(approx (+ (* 1/2 y) z) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y #s(approx (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z)))) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (fabs (+ (* 1/2 y) z))) -1)) (*.f64 (neg.f64 y) (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64) y) z #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) (fma.f64 (fma.f64 (*.f64 z #s(literal 1/120 binary64)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (+.f64 (/.f64 (*.f64 y z) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) y))) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
4 calls:
| 9.0ms | z |
| 7.0ms | y |
| 7.0ms | x |
| 7.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.3% | 3 | y |
| 64.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 67.6% | 2 | z |
| 71.5% | 3 | x |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y #s(approx (+ (* 1/2 y) z) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y #s(approx (/ 1 (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z)))) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (fabs (+ (* 1/2 y) z))) -1)) (*.f64 (neg.f64 y) (fabs.f64 (fma.f64 #s(literal 1/2 binary64) y z))))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.2% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (*.f64 y z)))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (*.f64 y z)))) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.3% | 2 | z |
| 63.7% | 1 | x |
| 63.7% | 1 | y |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y (+ (* 1/2 y) z)) -1)) (*.f64 (neg.f64 y) z))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) z))) |
2 calls:
| 2.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.7% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 65.7% | 2 | z |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
2 calls:
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.7% | 1 | x |
| 63.7% | 1 | z |
Compiled 2 to 6 computations (-200% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
4 calls:
| 1.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 23.4% | 1 | z |
| 23.4% | 1 | y |
| 23.4% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 23.4% | 1 | x |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999999775 | 1.0 |
| 0.0ms | -143695894650575060.0 | -7481216587452259.0 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 1.6161606795135378e-48 | 7.204874476216967e-39 |
| 20.0ms | -4.6552545158133776e-151 | -8.62034687605645e-160 |
| 27.0ms | 304× | 0 | valid |
Compiled 468 to 432 computations (7.7% saved)
ival-cos: 7.0ms (36% of total)ival-sin: 7.0ms (36% of total)ival-add: 2.0ms (10.3% of total)ival-mult: 2.0ms (10.3% of total)ival-sub: 1.0ms (5.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.6161606795135378e-48 | 7.204874476216967e-39 |
| 1.0ms | -4.6552545158133776e-151 | -8.62034687605645e-160 |
Compiled 468 to 432 computations (7.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 5.106819466540254e+69 | 4.803746306962512e+70 |
| 20.0ms | -1.9297146811694777e+156 | -9.794037829043015e+146 |
| 22.0ms | 240× | 0 | valid |
Compiled 1 092 to 779 computations (28.7% saved)
ival-cos: 5.0ms (35.5% of total)ival-sin: 5.0ms (35.5% of total)ival-mult: 2.0ms (14.2% of total)ival-sub: 1.0ms (7.1% of total)ival-add: 1.0ms (7.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 977512175654736000.0 | 1346426919003042600.0 |
| 24.0ms | -1.8822164843531992e+28 | -2.4888110119354837e+23 |
| 21.0ms | 192× | 0 | valid |
Compiled 396 to 338 computations (14.6% saved)
ival-cos: 7.0ms (43% of total)ival-sin: 6.0ms (36.8% of total)ival-sub: 1.0ms (6.1% of total)ival-add: 1.0ms (6.1% of total)ival-mult: 1.0ms (6.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 977512175654736000.0 | 1346426919003042600.0 |
| 12.0ms | -5.188361791333001e+77 | -2.109658345071466e+77 |
| 12.0ms | 112× | 0 | valid |
Compiled 244 to 214 computations (12.3% saved)
ival-cos: 4.0ms (42% of total)ival-sin: 4.0ms (42% of total)ival-add: 1.0ms (10.5% of total)ival-mult: 1.0ms (10.5% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 39.0ms | 3.4780752590146385e+168 | 1.5405249011776136e+175 |
| 12.0ms | 144× | 0 | valid |
Compiled 354 to 293 computations (17.2% saved)
ival-cos: 3.0ms (34.5% of total)ival-sin: 3.0ms (34.5% of total)ival-sub: 1.0ms (11.5% of total)ival-add: 1.0ms (11.5% of total)ival-mult: 1.0ms (11.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 9.169955426503234e+214 | 8.577083935199922e+232 |
| 13.0ms | 160× | 0 | valid |
Compiled 342 to 284 computations (17% saved)
ival-cos: 4.0ms (42.3% of total)ival-sin: 3.0ms (31.7% of total)ival-sub: 1.0ms (10.6% of total)ival-add: 1.0ms (10.6% of total)ival-mult: 1.0ms (10.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 544 |
| 1 | 154 | 544 |
| 2 | 193 | 544 |
| 3 | 259 | 544 |
| 4 | 397 | 544 |
| 5 | 547 | 544 |
| 6 | 614 | 544 |
| 7 | 689 | 544 |
| 8 | 730 | 544 |
| 9 | 756 | 544 |
| 10 | 770 | 544 |
| 11 | 771 | 544 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -100000000000000000 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 9007199254740789/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -1916465293854689/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 167121556602935/6427752177035961102167848369364650410088811975131171341205504 binary64)) (-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(if (<=.f64 z #s(literal -1916465293854689/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 167121556602935/6427752177035961102167848369364650410088811975131171341205504 binary64)) (-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(if (<=.f64 z #s(literal -75000000000000000834040726356574627259620900702288079336966612909426446794932766162720145500585096791549688000474342785425407444422436338413133103104 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 47999999999999997351526782849847852622213863061796319389917598728585216 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 #s(approx (+ -1/2 (/ (* 1/4 y) z)) (*.f64 (/.f64 y z) #s(literal 1/4 binary64))) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 #s(approx (+ -1/2 (/ (* 1/4 y) z)) (*.f64 (/.f64 y z) #s(literal 1/4 binary64))) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
(if (<=.f64 y #s(literal -294999999999999993708544 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 1000000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 y #s(literal -214999999999999995655486518288763481790872599198669138732165310955176847212544 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 1250000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 z #s(literal 100000000000000003441905430931245280917713770297417747470693647675065097962631447553892265814744827318497179085147422915077831721209019419643357959500300321574675254607872 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (*.f64 y z))))) |
(if (<=.f64 z #s(literal 104999999999999996449890829948147678868264163586338043142114935996286082674413935958276237206522357366741279440570307680821642176325095916004900236717085702555604421472280800557646935944144091431613865762614910118586644104816361472 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -100000000000000000 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 9007199254740789/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -100000000000000000 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 9007199254740789/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))))) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -1916465293854689/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 167121556602935/6427752177035961102167848369364650410088811975131171341205504 binary64)) (-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(if (<=.f64 z #s(literal -1916465293854689/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 167121556602935/6427752177035961102167848369364650410088811975131171341205504 binary64)) (-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(if (<=.f64 z #s(literal -1916465293854689/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 167121556602935/6427752177035961102167848369364650410088811975131171341205504 binary64)) (-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -1916465293854689/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 167121556602935/6427752177035961102167848369364650410088811975131171341205504 binary64)) (-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 z (sin.f64 y))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 z (sin.f64 y))) |
(if (<=.f64 z #s(literal -75000000000000000834040726356574627259620900702288079336966612909426446794932766162720145500585096791549688000474342785425407444422436338413133103104 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 47999999999999997351526782849847852622213863061796319389917598728585216 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 #s(approx (+ -1/2 (/ (* 1/4 y) z)) (*.f64 (/.f64 y z) #s(literal 1/4 binary64))) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 y) (neg z)) (+ (* 1/4 (* y y)) (* (neg z) z))) (fma.f64 (/.f64 #s(approx (+ -1/2 (/ (* 1/4 y) z)) (*.f64 (/.f64 y z) #s(literal 1/4 binary64))) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))) |
(if (<=.f64 y #s(literal -294999999999999993708544 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 1000000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y z) #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 y #s(literal -214999999999999995655486518288763481790872599198669138732165310955176847212544 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 1250000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 z #s(literal 100000000000000003441905430931245280917713770297417747470693647675065097962631447553892265814744827318497179085147422915077831721209019419643357959500300321574675254607872 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (*.f64 y z))))) |
(if (<=.f64 z #s(literal 100000000000000003441905430931245280917713770297417747470693647675065097962631447553892265814744827318497179085147422915077831721209019419643357959500300321574675254607872 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y (+ (* 1/2 y) z)) -1) (*.f64 z y))))) |
(if (<=.f64 z #s(literal 104999999999999996449890829948147678868264163586338043142114935996286082674413935958276237206522357366741279440570307680821642176325095916004900236717085702555604421472280800557646935944144091431613865762614910118586644104816361472 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 273 |
| 1 | 333 | 268 |
| 2 | 1124 | 266 |
| 3 | 4504 | 262 |
| 0 | 8402 | 238 |
| 0 | 28 | 119 |
| 0 | 44 | 119 |
| 1 | 192 | 119 |
| 2 | 1684 | 119 |
| 0 | 9558 | 119 |
| 0 | 547 | 1988 |
| 1 | 1803 | 1905 |
| 2 | 6449 | 1867 |
| 0 | 9027 | 1792 |
| 0 | 61 | 356 |
| 0 | 92 | 348 |
| 1 | 433 | 321 |
| 2 | 4052 | 315 |
| 0 | 8331 | 309 |
| 0 | 241 | 792 |
| 1 | 840 | 776 |
| 2 | 2863 | 751 |
| 0 | 8171 | 681 |
| 0 | 448 | 1576 |
| 1 | 1496 | 1528 |
| 2 | 5067 | 1503 |
| 0 | 8372 | 1387 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 54 | 19 |
| 2 | 518 | 19 |
| 0 | 8055 | 19 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 814 to 363 computations (55.4% saved)
Compiled 1 106 to 262 computations (76.3% saved)
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