
Time bar (total: 11.0s)
| 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)
| 4.2s | 8 255× | 0 | valid |
| 1.0ms | 1× | 2 | valid |
ival-cos: 3.1s (79.4% of total)ival-sin: 587.0ms (15% of total)ival-add: 88.0ms (2.2% of total)ival-mult: 71.0ms (1.8% of total)ival-sub: 48.0ms (1.2% of total)ival-true: 8.0ms (0.2% of total)ival-assert: 3.0ms (0.1% 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 |
| 46.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-sin: 11.0ms (36.6% of total)ival-cos: 10.0ms (33.3% of total)ival-mult: 4.0ms (13.3% of total)ival-add: 3.0ms (10% of total)ival-sub: 2.0ms (6.7% 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 | 90 | 86 |
| 2 | 202 | 85 |
| 3 | 337 | 85 |
| 4 | 487 | 85 |
| 5 | 841 | 85 |
| 6 | 1822 | 85 |
| 7 | 3966 | 85 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 27 | 9 |
| 2 | 50 | 9 |
| 3 | 85 | 9 |
| 4 | 108 | 9 |
| 5 | 175 | 9 |
| 6 | 392 | 9 |
| 7 | 983 | 9 |
| 8 | 2523 | 9 |
| 9 | 5408 | 9 |
| 10 | 7623 | 9 |
| 0 | 8035 | 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 z) (sin.f64 y) (+.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 | 27 | 24 |
| 2 | 50 | 24 |
| 3 | 85 | 24 |
| 4 | 108 | 24 |
| 5 | 175 | 24 |
| 6 | 392 | 24 |
| 7 | 983 | 24 |
| 8 | 2523 | 24 |
| 9 | 5408 | 24 |
| 10 | 7623 | 24 |
| 0 | 8035 | 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 z) (sin.f64 y) (+.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 | 0.0 | (sin.f64 y) | |
| accuracy | 0.00390625 | (+.f64 x (cos.f64 y)) | |
| accuracy | 0.00390625 | (cos.f64 y) | |
| accuracy | 0.1171875 | (*.f64 z (sin.f64 y)) |
| 23.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 6.0ms (39.6% of total)ival-sin: 5.0ms (33% of total)ival-mult: 2.0ms (13.2% of total)ival-sub: 1.0ms (6.6% of total)ival-add: 1.0ms (6.6% 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)) |
(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))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* z (sin y)) |
(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 | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (sin y)) |
| 1.0ms | y | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (sin y)) |
| 1.0ms | x | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (sin y)) |
| 1.0ms | z | @ | -inf | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (sin y)) |
| 1.0ms | z | @ | inf | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (sin y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 118 | 341 |
| 1 | 370 | 336 |
| 2 | 1127 | 328 |
| 3 | 4378 | 324 |
| 0 | 8138 | 301 |
| 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))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* z (sin y)) |
(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 (/.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) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y))) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (cos.f64 y) (neg.f64 x)) #s(literal 1 binary64))) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1 (* y z)))) |
(fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x)) |
(+ 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 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 1/2 binary64)) y (neg.f64 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 (-.f64 (*.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)))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 y y) (+.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(* 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 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64))) (*.f64 z y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(sin y) |
(sin.f64 y) |
(+ 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 | 21 |
| 0 | 13 | 21 |
| 1 | 52 | 21 |
| 2 | 460 | 21 |
| 3 | 6713 | 21 |
| 0 | 8151 | 21 |
| 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)) |
(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 (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 (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 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))))) (+.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))))) |
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(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (*.f64 (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (pow.f64 (-.f64 x (cos.f64 y)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) (*.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (*.f64 (fma.f64 x x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 x (cos.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (*.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (cos.f64 y)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (cos.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 x (cos.f64 y))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x))) |
(neg.f64 (neg.f64 (+.f64 (cos.f64 y) x))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (cos.f64 y) x) (cos.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (cos.f64 y) x) (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 (cos.f64 y) x) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (cos.f64 y) x) (cos.f64 y)) (-.f64 (*.f64 (-.f64 (cos.f64 y) x) (cos.f64 y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))) |
(fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (cos.f64 y) x) (cos.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (cos.f64 y) x) (cos.f64 y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))) |
(fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 (cos.f64 y) x) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (cos.f64 y) x) (cos.f64 y)) (-.f64 (*.f64 (-.f64 (cos.f64 y) x) (cos.f64 y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (+.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 x (cos.f64 y)))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (+.f64 (cos.f64 y) x) (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 x (cos.f64 y)))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x (cos.f64 y))) (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 x (cos.f64 y)))) |
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 x (cos.f64 y))) (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 x (cos.f64 y)))) |
(fma.f64 #s(literal 0 binary64) (sin.f64 y) (fma.f64 #s(literal 1 binary64) (cos.f64 y) x)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (cos.f64 y) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))) |
(fma.f64 (sin.f64 y) #s(literal 0 binary64) (fma.f64 #s(literal 1 binary64) (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))) |
(fma.f64 x (/.f64 x (-.f64 x (cos.f64 y))) (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 x (cos.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y)))) |
(+.f64 (+.f64 x (*.f64 #s(literal 0 binary64) (sin.f64 y))) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(+.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x (cos.f64 y)))) (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 x (cos.f64 y)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 #s(literal 1 binary64) (cos.f64 y) x)) |
(+.f64 (cos.f64 y) x) |
(+.f64 x (cos.f64 y)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))) (-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 #s(literal 0 binary64) (sin.f64 y) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(fma.f64 (sin.f64 y) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) |
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 y) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(neg.f64 (*.f64 (neg.f64 z) (sin.f64 y))) |
(sin.f64 y) |
Compiled 6 301 to 664 computations (89.5% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 182 | 9 | 191 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 183 | 9 | 192 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
| ▶ | 68.6% | (-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
| 91.2% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| 60.2% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| 58.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) | |
| ▶ | 59.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
| 64.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) | |
| ▶ | 60.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| ▶ | 32.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
Compiled 272 to 216 computations (20.6% 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 | (*.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) | |
| 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 | 27 | 145 |
| 0 | 42 | 145 |
| 1 | 72 | 145 |
| 2 | 111 | 145 |
| 3 | 163 | 145 |
| 4 | 219 | 145 |
| 5 | 294 | 145 |
| 6 | 514 | 145 |
| 7 | 1111 | 145 |
| 8 | 2628 | 145 |
| 9 | 5369 | 145 |
| 10 | 7589 | 145 |
| 0 | 8001 | 145 |
| 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))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
z |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#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)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
z |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#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 | 0.0 | (*.f64 z y) | |
| accuracy | 0.00390625 | (+.f64 x (cos.f64 y)) | |
| accuracy | 0.00390625 | (cos.f64 y) | |
| accuracy | 29.37702122396514 | #s(approx (* z (sin y)) (*.f64 z y)) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.1171875 | (*.f64 (neg.f64 z) (sin.f64 y)) | |
| accuracy | 43.2531823413133 | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 0.00390625 | (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 26.096727768985996 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 25.57468624581543 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.00390625 | (+.f64 (cos.f64 y) x) | |
| accuracy | 0.00390625 | (cos.f64 y) | |
| accuracy | 0.0390625 | (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
| 91.0ms | 256× | 0 | valid |
Compiled 120 to 23 computations (80.8% saved)
ival-add: 22.0ms (47.9% of total)ival-mult: 9.0ms (19.6% of total)ival-sin: 6.0ms (13.1% of total)ival-cos: 5.0ms (10.9% of total)ival-sub: 2.0ms (4.4% of total)ival-neg: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (sin.f64 y) (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))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(*.f64 #s(literal -1/2 binary64) y) |
#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)) |
(*.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 (- (* -1/2 y) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
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 (- (* -1/2 y) z)) 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 (- (* -1/2 y) z))) 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 (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(* -1 z) |
(- (* -1/2 y) 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 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(* y (- (* -1 (/ z y)) 1/2)) |
(* -1 (* z (sin y))) |
(* z (sin y)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ (* -1 z) (* -1/2 y)) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | 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))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (* z 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))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (* z 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))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (* z 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))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (* z y)) |
| 2.0ms | z | @ | 0 | ((+ (* (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))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (* z y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 218 | 684 |
| 1 | 729 | 660 |
| 2 | 2505 | 640 |
| 3 | 7826 | 640 |
| 0 | 8132 | 597 |
| 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 (- (* -1/2 y) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
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 (- (* -1/2 y) z)) 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 (- (* -1/2 y) z))) 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 (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(* -1 z) |
(- (* -1/2 y) 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 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(* y (- (* -1 (/ z y)) 1/2)) |
(* -1 (* z (sin y))) |
(* z (sin y)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ (* -1 z) (* -1/2 y)) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
| 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 (- (* -1/2 y) z))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #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))) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 1 binary64) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(literal 1 binary64)) #s(literal 1 binary64) x) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y))) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (cos.f64 y) (neg.f64 x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y))) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) 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 (-.f64 x (*.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 (-.f64 (*.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)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y) |
(+ 1 (+ 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 (-.f64 (*.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)))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 y y) (-.f64 x #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(fma.f64 (fma.f64 (-.f64 (*.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 z) |
(neg.f64 z) |
(- (* -1/2 y) z) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) 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 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) z) (*.f64 (neg.f64 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 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) z) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) y) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(* 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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) (*.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) 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 (/.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) y) y) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)) |
(* y (- (* -1 (/ z y)) 1/2)) |
(*.f64 (-.f64 (/.f64 (neg.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 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(*.f64 (fma.f64 (/.f64 z y) #s(literal -1 binary64) #s(literal -1/2 binary64)) y) |
(+ 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 z) (* -1/2 y)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(* 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 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (-.f64 x #s(literal -1 binary64))) z) y) z) |
(* z (- (* -1/2 (/ y z)) 1)) |
(*.f64 (-.f64 (*.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1 binary64)) 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 (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (-.f64 x #s(literal -1 binary64))) z) y) z) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 121 |
| 0 | 42 | 121 |
| 1 | 167 | 121 |
| 2 | 1350 | 121 |
| 0 | 8887 | 121 |
| 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))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(*.f64 #s(literal -1/2 binary64) y) |
#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)) |
(*.f64 z y) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (*.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.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)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y)))) (fma.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y)))) (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (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 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (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 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (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)) (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)))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (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 z (sin.f64 y)) #s(literal 3 binary64)) (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 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (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 z (sin.f64 y)) #s(literal 3 binary64)) (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 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y)) (*.f64 (+.f64 x (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z)) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z)) (*.f64 (+.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z)))))) |
(/.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))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(/.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))))) |
(/.f64 (neg.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)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.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 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.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 (-.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (*.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (*.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y)))) (*.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y))) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (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 (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))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (*.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))) (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 (fma.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 (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))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (*.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))) (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 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (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 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))) |
(/.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 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (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 2 binary64)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (neg.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))))) |
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (neg.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))))) |
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(fma.f64 x #s(literal 1 binary64) (cos.f64 y)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x))) |
(+.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (*.f64 (neg.f64 (cos.f64 y)) (cos.f64 y)) (-.f64 x (cos.f64 y)))) |
(+.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (cos.f64 y) x))) |
(+.f64 x (cos.f64 y)) |
(+.f64 (cos.f64 y) x) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (sin.f64 y) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64)))))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 (sin.f64 y) #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 y)))) |
(cos.f64 (neg.f64 (neg.f64 y))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 y) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(+.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
#s(approx (* z (sin y)) (*.f64 z y)) |
(*.f64 z y) |
(*.f64 y z) |
Compiled 14 924 to 1 438 computations (90.4% saved)
17 alts after pruning (13 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 375 | 11 | 386 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 378 | 17 | 395 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
| 66.7% | (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) | |
| 60.2% | (fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (+ (cos y) x) (cos.f64 y))) | |
| ✓ | 68.6% | (-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
| 55.8% | (-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z y))) | |
| ▶ | 91.2% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| ▶ | 58.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.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)))) |
| 31.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) | |
| ▶ | 64.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
| ✓ | 60.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | 32.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| ▶ | 18.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)))) |
| 3.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) | |
| 57.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.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))))) | |
| ▶ | 22.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| 12.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y))) | |
| 12.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) z))) |
Compiled 634 to 475 computations (25.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y))) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)))) | |
| cost-diff | 1 | (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 1/2 binary64)) y (neg.f64 z)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (-.f64 (*.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))) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.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)))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 1 | (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x)) | |
| 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 | (*.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 | 44 | 292 |
| 0 | 67 | 292 |
| 1 | 123 | 292 |
| 2 | 259 | 286 |
| 3 | 589 | 286 |
| 4 | 1340 | 286 |
| 5 | 3291 | 286 |
| 6 | 7259 | 286 |
| 0 | 8176 | 282 |
| 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 (+ 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))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x)) |
(neg.f64 z) |
z |
y |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.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)))) |
(fma.f64 (fma.f64 (-.f64 (*.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))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 1/2 binary64)) y (neg.f64 z)) |
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 z y)) |
#s(literal 1/6 binary64) |
(*.f64 z y) |
z |
y |
#s(literal 1/2 binary64) |
(neg.f64 z) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)) |
(-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) |
(fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) |
#s(literal -1 binary64) |
z |
(/.f64 (-.f64 x #s(literal -1 binary64)) y) |
(-.f64 x #s(literal -1 binary64)) |
x |
y |
#s(literal 1/2 binary64) |
(*.f64 y y) |
| Outputs |
|---|
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.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 (+ 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))) (fma.f64 (neg.f64 z) 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)))) |
(fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 x (fma.f64 z y #s(literal -1 binary64))) |
(neg.f64 z) |
z |
y |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.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)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) #s(literal 1/2 binary64)) y (neg.f64 z)) y (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 (-.f64 (*.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))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) #s(literal 1/2 binary64)) y (neg.f64 z)) y (-.f64 x #s(literal -1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 1/2 binary64)) y (neg.f64 z)) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) #s(literal 1/2 binary64)) y (neg.f64 z)) |
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 1/2 binary64)) |
(-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 z y)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) z) |
#s(literal 1/6 binary64) |
(*.f64 z y) |
z |
y |
#s(literal 1/2 binary64) |
(neg.f64 z) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) y) #s(literal 1/2 binary64)) y) y))) |
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y))) |
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) y) #s(literal 1/2 binary64)) y) y)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) y) #s(literal 1/2 binary64)) y) y) |
(-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) y) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) |
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) y) |
(fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) |
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) |
#s(literal -1 binary64) |
z |
(/.f64 (-.f64 x #s(literal -1 binary64)) y) |
(-.f64 x #s(literal -1 binary64)) |
x |
y |
#s(literal 1/2 binary64) |
(*.f64 y y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (/.f64 (-.f64 x #s(literal -1 binary64)) y) | |
| accuracy | 0.078125 | (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) | |
| accuracy | 25.530802203336922 | (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)) | |
| accuracy | 26.096727768985996 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)))) | |
| accuracy | 0.0234375 | (fma.f64 (fma.f64 (-.f64 (*.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))) | |
| accuracy | 0.046875 | (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 1/2 binary64)) y (neg.f64 z)) | |
| accuracy | 0.2890625 | (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) | |
| accuracy | 26.327262502034326 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.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)))) | |
| accuracy | 0.0 | (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 22.998054433994565 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 25.57468624581543 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) | |
| accuracy | 31.31806613199023 | #s(approx (+ 1 x) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.00390625 | (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| accuracy | 0.1171875 | (*.f64 z (sin.f64 y)) | |
| accuracy | 27.4122374277825 | #s(approx (cos y) #s(literal 1 binary64)) |
| 238.0ms | 256× | 0 | valid |
Compiled 217 to 38 computations (82.5% saved)
ival-add: 65.0ms (29.8% of total)ival-mult: 56.0ms (25.7% of total)ival-cos: 36.0ms (16.5% of total)ival-sub: 30.0ms (13.7% of total)ival-div: 21.0ms (9.6% of total)ival-sin: 5.0ms (2.3% of total)const: 4.0ms (1.8% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% 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 (+ 1 x) #s(literal 1 binary64))) |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
(neg.f64 z) |
(+.f64 #s(literal 1 binary64) x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.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)))) |
(fma.f64 (fma.f64 (-.f64 (*.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))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 1/2 binary64)) y (neg.f64 z)) |
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)) |
(sin.f64 y) |
(*.f64 #s(literal 1/6 binary64) (*.f64 z y)) |
(/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) |
(/.f64 (-.f64 x #s(literal -1 binary64)) y) |
| Outputs |
|---|
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
1 |
(+ 1 x) |
(+ 1 (* -1 (* y z))) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ (* -1 z) (/ 1 y)) |
(+ (* -1 z) (+ (/ 1 y) (/ x y))) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2)) |
(+ x (* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2))) |
(/ (+ (* -1 z) (/ 1 y)) y) |
(+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) |
(/ 1 y) |
(+ (/ 1 y) (/ x y)) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (+ (* -1 (/ (* y z) x)) (/ 1 x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(/ x y) |
(* x (+ (* -1 (/ z x)) (+ (/ 1 y) (/ 1 (* x y))))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (/ (* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2)) x))) |
(/ x (pow y 2)) |
(* x (+ (* -1 (/ z (* x y))) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 2))))) |
(* x (+ (/ 1 y) (/ 1 (* x y)))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 (* y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 z) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ z y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 2))))) |
(+ 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 (* -1/2 (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 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(* -1 z) |
(- (* -1/2 y) z) |
(- (* y (- (* 1/6 (* y z)) 1/2)) z) |
-1/2 |
(- (* 1/6 (* y z)) 1/2) |
(/ (+ 1 x) y) |
(/ (+ 1 (+ x (* -1 (* y z)))) y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* 1/6 (* y z)) |
(/ (+ 1 x) (pow y 2)) |
(/ (+ 1 (+ x (* -1 (* y z)))) (pow y 2)) |
(* z (sin y)) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (+ (/ 1 y) (/ x y)))) |
(* 1/6 (* (pow y 3) z)) |
(* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y)))) |
(* (pow y 3) (- (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3)))) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2))))) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 2) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y)))) |
(* y (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(sin y) |
(* -1 (/ z y)) |
(/ (+ (* -1 z) (+ (/ 1 y) (/ x y))) y) |
(* -1 (* y (+ z (* -1 (/ (+ 1 x) y))))) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2) y)) (* -1/6 z)))) |
(* (pow y 2) (+ (* -1 (/ (+ 1/2 (/ z y)) y)) (* 1/6 z))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(* -1/2 y) |
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2)) |
(+ (* -1 (* y z)) (* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2))) |
(/ (+ (/ 1 y) (/ x y)) y) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (+ (* -1 y) (+ (/ 1 z) (/ x z)))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1)) |
(* z (- (* 1/6 y) (* 1/2 (/ 1 z)))) |
(* z (- (+ (/ 1 (* y z)) (/ x (* y z))) 1)) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1 y) (/ (* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2)) z))) |
(* z (- (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))) (/ 1 y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 x) z))))) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1 (* z (+ 1 (* -1/6 (pow y 2))))) |
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ (/ 1 y) (/ x y)) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2)) z))))) |
(* -1 (* z (+ (* -1 (/ (+ (/ 1 (pow y 2)) (/ x (pow y 2))) z)) (/ 1 y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | y | @ | -inf | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (neg z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (neg z) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) (- (* 1/6 (* z y)) 1/2) (+ (* -1 z) (/ (- x -1) y)) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (* y y)) (sin y) (* 1/6 (* z y)) (/ (+ (* -1 z) (/ (- x -1) y)) y) (/ (- x -1) y)) |
| 17.0ms | x | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (neg z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (neg z) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) (- (* 1/6 (* z y)) 1/2) (+ (* -1 z) (/ (- x -1) y)) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (* y y)) (sin y) (* 1/6 (* z y)) (/ (+ (* -1 z) (/ (- x -1) y)) y) (/ (- x -1) y)) |
| 6.0ms | x | @ | inf | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (neg z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (neg z) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) (- (* 1/6 (* z y)) 1/2) (+ (* -1 z) (/ (- x -1) y)) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (* y y)) (sin y) (* 1/6 (* z y)) (/ (+ (* -1 z) (/ (- x -1) y)) y) (/ (- x -1) y)) |
| 4.0ms | z | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (neg z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (neg z) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) (- (* 1/6 (* z y)) 1/2) (+ (* -1 z) (/ (- x -1) y)) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (* y y)) (sin y) (* 1/6 (* z y)) (/ (+ (* -1 z) (/ (- x -1) y)) y) (/ (- x -1) y)) |
| 3.0ms | z | @ | -inf | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (neg z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (neg z) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) (- (* 1/6 (* z y)) 1/2) (+ (* -1 z) (/ (- x -1) y)) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (* y y)) (sin y) (* 1/6 (* z y)) (/ (+ (* -1 z) (/ (- x -1) y)) y) (/ (- x -1) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 362 | 1449 |
| 1 | 1210 | 1356 |
| 2 | 4342 | 1342 |
| 0 | 8842 | 1279 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
1 |
(+ 1 x) |
(+ 1 (* -1 (* y z))) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ (* -1 z) (/ 1 y)) |
(+ (* -1 z) (+ (/ 1 y) (/ x y))) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2)) |
(+ x (* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2))) |
(/ (+ (* -1 z) (/ 1 y)) y) |
(+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) |
(/ 1 y) |
(+ (/ 1 y) (/ x y)) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (+ (* -1 (/ (* y z) x)) (/ 1 x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(/ x y) |
(* x (+ (* -1 (/ z x)) (+ (/ 1 y) (/ 1 (* x y))))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (/ (* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2)) x))) |
(/ x (pow y 2)) |
(* x (+ (* -1 (/ z (* x y))) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 2))))) |
(* x (+ (/ 1 y) (/ 1 (* x y)))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 (* y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 z) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ z y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 2))))) |
(+ 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 (* -1/2 (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 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(* -1 z) |
(- (* -1/2 y) z) |
(- (* y (- (* 1/6 (* y z)) 1/2)) z) |
-1/2 |
(- (* 1/6 (* y z)) 1/2) |
(/ (+ 1 x) y) |
(/ (+ 1 (+ x (* -1 (* y z)))) y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* 1/6 (* y z)) |
(/ (+ 1 x) (pow y 2)) |
(/ (+ 1 (+ x (* -1 (* y z)))) (pow y 2)) |
(* z (sin y)) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (+ (/ 1 y) (/ x y)))) |
(* 1/6 (* (pow y 3) z)) |
(* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y)))) |
(* (pow y 3) (- (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3)))) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2))))) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 2) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y)))) |
(* y (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(sin y) |
(* -1 (/ z y)) |
(/ (+ (* -1 z) (+ (/ 1 y) (/ x y))) y) |
(* -1 (* y (+ z (* -1 (/ (+ 1 x) y))))) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2) y)) (* -1/6 z)))) |
(* (pow y 2) (+ (* -1 (/ (+ 1/2 (/ z y)) y)) (* 1/6 z))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(* -1/2 y) |
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2)) |
(+ (* -1 (* y z)) (* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2))) |
(/ (+ (/ 1 y) (/ x y)) y) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (+ (* -1 y) (+ (/ 1 z) (/ x z)))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1)) |
(* z (- (* 1/6 y) (* 1/2 (/ 1 z)))) |
(* z (- (+ (/ 1 (* y z)) (/ x (* y z))) 1)) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1 y) (/ (* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2)) z))) |
(* z (- (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))) (/ 1 y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 x) z))))) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1 (* z (+ 1 (* -1/6 (pow y 2))))) |
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ (/ 1 y) (/ x y)) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2)) z))))) |
(* -1 (* z (+ (* -1 (/ (+ (/ 1 (pow y 2)) (/ x (pow y 2))) z)) (/ 1 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) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 (* -1 (* y z))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(+ 1 (+ x (* -1 (* y z)))) |
(+.f64 (-.f64 x (*.f64 z y)) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) #s(literal 1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) #s(literal 1/2 binary64)) y (neg.f64 z)) y (-.f64 x #s(literal -1 binary64))) |
(+ (* -1 z) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) z) |
(+ (* -1 z) (+ (/ 1 y) (/ x y))) |
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) |
(+ 1 (* y (- (* -1/2 y) z))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) 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 x #s(literal -1 binary64))) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2)) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) z) y) #s(literal 1/2 binary64)) y) y) |
(+ x (* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2))) |
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) z) y) #s(literal 1/2 binary64)) (*.f64 y y) x) |
(/ (+ (* -1 z) (/ 1 y)) y) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) z) y) |
(+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) |
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (/ 1 y) (/ x y)) |
(/.f64 (-.f64 x #s(literal -1 binary64)) y) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 x (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (+ (* -1 (/ (* y z) x)) (/ 1 x)))) |
(fma.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) #s(literal 1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) x) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ z x)) (+ (/ 1 y) (/ 1 (* x y))))) |
(fma.f64 (/.f64 (neg.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) y)) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(literal 1 binary64)) x) x x) |
(* x (+ 1 (/ (* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2)) x))) |
(fma.f64 (*.f64 (*.f64 y x) y) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) z) y) #s(literal 1/2 binary64)) x) x) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(* x (+ (* -1 (/ z (* x y))) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y) y) (/.f64 (/.f64 z x) y)) x) |
(* x (+ (/ 1 y) (/ 1 (* x y)))) |
(/.f64 (-.f64 x #s(literal -1 binary64)) y) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y))) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (cos.f64 y) (neg.f64 x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 (* y z))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 z y #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) #s(literal 1/2 binary64)) z) y #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 z) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) z) x) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) 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 (/ (* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2)) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) z) y) #s(literal 1/2 binary64)) x) (*.f64 (neg.f64 y) y)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ z y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 2))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) z) y) x) (/.f64 (/.f64 #s(literal 1 binary64) y) 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 (-.f64 (*.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)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) (*.f64 y y) (-.f64 x #s(literal -1 binary64))) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* 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 (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 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 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (-.f64 x #s(literal -1 binary64))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) #s(literal 1/2 binary64)) y (neg.f64 z)) y (-.f64 x #s(literal -1 binary64))) |
(* -1 z) |
(neg.f64 z) |
(- (* -1/2 y) z) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(- (* y (- (* 1/6 (* y z)) 1/2)) z) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) #s(literal 1/2 binary64)) y (neg.f64 z)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (* y z)) 1/2) |
(-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) #s(literal 1/2 binary64)) |
(/ (+ 1 x) y) |
(/.f64 (-.f64 x #s(literal -1 binary64)) y) |
(/ (+ 1 (+ x (* -1 (* y z)))) y) |
(/.f64 (+.f64 (-.f64 x (*.f64 z y)) #s(literal 1 binary64)) y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) y) |
(* 1/6 (* y z)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) z) |
(/ (+ 1 x) (pow y 2)) |
(/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y) |
(/ (+ 1 (+ x (* -1 (* y z)))) (pow y 2)) |
(/.f64 (/.f64 (+.f64 (-.f64 x (*.f64 z y)) #s(literal 1 binary64)) y) y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* y (+ (* -1 z) (+ (/ 1 y) (/ x y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) y) |
(* 1/6 (* (pow y 3) z)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64)) z) |
(* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (- (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3)))) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2))))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (+.f64 (/.f64 z y) #s(literal 1/2 binary64)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* 1/6 (* (pow y 2) z)) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y)) |
(* (pow y 2) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) y)) (*.f64 y y)) |
(* y (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) 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 (/.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) y) y) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) y) #s(literal 1/2 binary64)) (*.f64 y y)) |
(sin y) |
(sin.f64 y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(/ (+ (* -1 z) (+ (/ 1 y) (/ x y))) y) |
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) y) |
(* -1 (* y (+ z (* -1 (/ (+ 1 x) y))))) |
(*.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) y) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2) y)) (* -1/6 z)))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) z (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) y) #s(literal 1/2 binary64)) (neg.f64 y)))) |
(* (pow y 2) (+ (* -1 (/ (+ 1/2 (/ z y)) y)) (* 1/6 z))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) y)) (*.f64 y y)) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) y) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) y) #s(literal 1/2 binary64)) (*.f64 y y)) |
(* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) y) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(+.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) z) y (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) |
(fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) z (*.f64 #s(literal -1/2 binary64) y)) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (-.f64 x #s(literal -1 binary64))) |
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2)) |
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y) #s(literal 1/2 binary64)) y) y) |
(+ (* -1 (* y z)) (* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2))) |
(fma.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y) #s(literal 1/2 binary64)) y) y (*.f64 (neg.f64 y) z)) |
(/ (+ (/ 1 y) (/ x y)) y) |
(/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y) |
(* -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) |
(* z (+ (* -1 y) (+ (/ 1 z) (/ x z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) z) y) z) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) z) y) |
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (-.f64 x #s(literal -1 binary64))) z)) z) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) z) |
(* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1)) |
(*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) z) |
(* z (- (* 1/6 y) (* 1/2 (/ 1 z)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z) |
(* z (- (+ (/ 1 (* y z)) (/ x (* y z))) 1)) |
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) z) y) #s(literal 1 binary64)) z) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (-.f64 x #s(literal -1 binary64))) z) y) z) |
(* z (+ (* -1 y) (/ (* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2)) z))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y) #s(literal 1/2 binary64)) z) (*.f64 y y) (neg.f64 y)) z) |
(* z (- (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y) z) (/.f64 #s(literal 1 binary64) 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 (+ y (* -1 (/ (+ 1 x) z))))) |
(*.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) z) y) z) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y)) z) |
(* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (-.f64 x #s(literal -1 binary64))) z)) z) |
(* -1 (* z (+ 1 (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) |
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 y) z) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) z) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z) |
(* -1 (* z (+ 1 (* -1 (/ (+ (/ 1 y) (/ x y)) z))))) |
(fma.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) z) y) z (neg.f64 z)) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (-.f64 x #s(literal -1 binary64))) z) y) z) |
(* -1 (* z (+ y (* -1 (/ (* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2)) z))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y) #s(literal 1/2 binary64)) z) (*.f64 y y) (neg.f64 y)) z) |
(* -1 (* z (+ (* -1 (/ (+ (/ 1 (pow y 2)) (/ x (pow y 2))) z)) (/ 1 y)))) |
(fma.f64 (/.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y) z) z (/.f64 (neg.f64 z) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 246 |
| 0 | 67 | 246 |
| 1 | 293 | 246 |
| 2 | 2375 | 246 |
| 0 | 8295 | 244 |
| 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 (+ 1 x) #s(literal 1 binary64))) |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
(neg.f64 z) |
(+.f64 #s(literal 1 binary64) x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.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)))) |
(fma.f64 (fma.f64 (-.f64 (*.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))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 1/2 binary64)) y (neg.f64 z)) |
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)) |
(sin.f64 y) |
(*.f64 #s(literal 1/6 binary64) (*.f64 z y)) |
(/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) |
(/.f64 (-.f64 x #s(literal -1 binary64)) y) |
| Outputs |
|---|
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (neg.f64 z) (sin.f64 y))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))))))) |
(/.f64 (neg.f64 (neg.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))))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) (*.f64 (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (*.f64 (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (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 3 binary64)))) (*.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64))) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (neg.f64 z) (sin.f64 y)))))) |
(/.f64 (neg.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)))) (neg.f64 (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #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 #s(approx (cos y) #s(literal 1 binary64)) x)) (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64))))) |
(/.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))) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #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 #s(approx (cos y) #s(literal 1 binary64)) x)) (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(fma.f64 z (*.f64 #s(literal -1 binary64) (sin.f64 y)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(fma.f64 #s(literal 1 binary64) x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))) |
(fma.f64 x #s(literal 1 binary64) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))) |
(-.f64 (/.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #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 #s(approx (cos y) #s(literal 1 binary64)) x)) (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64))))) |
(-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y))) |
(-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z)) |
(+.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)) x) |
(+.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(+.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(+.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (neg.f64 z) (sin.f64 y))) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 x (*.f64 (sin.f64 y) z))) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) (+.f64 x (*.f64 (neg.f64 z) (sin.f64 y)))) |
(+.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))) (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x)) (*.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x)) (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (neg.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(/.f64 (+.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x))) |
(fma.f64 #s(literal 1 binary64) x #s(approx (cos y) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) #s(approx (cos y) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (/.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x)))) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 z) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (-.f64 (*.f64 (neg.f64 z) y) x) #s(literal 1 binary64))))) |
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(/.f64 (neg.f64 (*.f64 (*.f64 y y) (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 y y)) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 y y)) (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 y y) (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (*.f64 y y) (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 2 binary64)))) |
(sin.f64 y) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) z) |
(*.f64 (*.f64 #s(literal 1/6 binary64) z) y) |
(*.f64 (*.f64 z y) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 z y)) |
(*.f64 z (*.f64 y #s(literal 1/6 binary64))) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) z)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 z) y) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (neg.f64 z) (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 z y) (/.f64 z y) (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y) #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 z) y) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y))))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) z (*.f64 y (/.f64 (-.f64 x #s(literal -1 binary64)) y)))) (neg.f64 (*.f64 y y))) |
(/.f64 (fma.f64 (neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y)) (neg.f64 y) (*.f64 (neg.f64 y) (neg.f64 (neg.f64 z)))) (*.f64 y y)) |
(/.f64 (fma.f64 (neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y (*.f64 (neg.f64 y) (neg.f64 z))) (*.f64 (neg.f64 y) y)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 y) (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 (neg.f64 z)))) (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 y))) |
(/.f64 (fma.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) y (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))) (*.f64 (*.f64 (neg.f64 y) y) y)) |
(/.f64 (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) (neg.f64 y) (*.f64 y (neg.f64 (neg.f64 z)))) (*.f64 y (neg.f64 y))) |
(/.f64 (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y (*.f64 (neg.f64 z) y)) (*.f64 y y)) |
(/.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 y) (*.f64 (*.f64 y y) (neg.f64 (neg.f64 z)))) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
(/.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) y (*.f64 (*.f64 y y) (neg.f64 z))) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 y) (*.f64 (neg.f64 y) (neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y)))) (*.f64 y y)) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 z)) (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) (neg.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 z)) y (*.f64 (neg.f64 y) (/.f64 (-.f64 x #s(literal -1 binary64)) y))) (*.f64 (neg.f64 y) y)) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 z)) (*.f64 y y) (*.f64 (neg.f64 y) (-.f64 x #s(literal -1 binary64)))) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
(/.f64 (fma.f64 (neg.f64 z) (neg.f64 y) (*.f64 y (neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y)))) (*.f64 y (neg.f64 y))) |
(/.f64 (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) y) (*.f64 y (neg.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 y (*.f64 (neg.f64 y) y))) |
(/.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 y (-.f64 x #s(literal -1 binary64)))) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 z) y) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y) #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 z) (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y) #s(literal 3 binary64))) (fma.f64 (/.f64 z y) (/.f64 z y) (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y) #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 z) y) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (*.f64 (-.f64 (neg.f64 z) (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) (neg.f64 z)) (*.f64 z z)) y))) |
(/.f64 (fma.f64 (neg.f64 y) z (*.f64 y (/.f64 (-.f64 x #s(literal -1 binary64)) y))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) #s(literal 2 binary64))) (*.f64 (-.f64 (neg.f64 z) (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y)) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) #s(literal 3 binary64))) (*.f64 (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) (neg.f64 z)) (*.f64 z z)) y)) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y))) (neg.f64 y)) |
(/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y))) y)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) (neg.f64 y))) |
(fma.f64 #s(literal -1 binary64) (/.f64 z y) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y)) |
(fma.f64 z (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y)) |
(+.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y) (/.f64 (neg.f64 z) y)) |
(+.f64 (/.f64 (neg.f64 z) y) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x y) (*.f64 y #s(literal -1 binary64)))) (neg.f64 (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) #s(literal -1 binary64))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (neg.f64 y))) |
(/.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))) (+.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) y))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 x y) (*.f64 y #s(literal -1 binary64))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) x) y)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) y)) |
(/.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 y)) |
(/.f64 (-.f64 x #s(literal -1 binary64)) y) |
(neg.f64 (/.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) y)) |
(neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 y))) |
(-.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y)) |
Compiled 17 591 to 2 050 computations (88.3% saved)
25 alts after pruning (19 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 398 | 14 | 412 |
| Fresh | 3 | 5 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 404 | 25 | 429 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
| ▶ | 91.2% | (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
| 60.2% | (fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (+ (cos y) x) (cos.f64 y))) | |
| ✓ | 68.6% | (-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
| ▶ | 55.8% | (-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z y))) |
| 57.6% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.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))) | |
| 31.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) | |
| ✓ | 64.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
| ✓ | 60.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | 32.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| 57.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(literal 1 binary64)) x) x x))) | |
| 18.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) | |
| 13.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) y (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))) (*.f64 (*.f64 (neg.f64 y) y) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) | |
| ▶ | 6.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
| 3.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) | |
| 16.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) #s(approx (* (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y) #s(literal 1/2 binary64)) y) y)))) | |
| 31.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) #s(literal 1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)))) | |
| 12.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) z) y))) | |
| 57.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x #s(literal 1 binary64)))) | |
| 31.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (-.f64 #s(literal 1 binary64) (*.f64 z y)))) | |
| 50.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) y))) | |
| ▶ | 12.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
| 61.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 z y #s(literal -1 binary64)) x) #s(literal 1 binary64))))) | |
| ✓ | 22.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| ▶ | 12.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y))) |
Compiled 1 258 to 899 computations (28.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 x #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z y))) | |
| cost-diff | 0 | (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y))) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) | |
| cost-diff | 0 | #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y))) | |
| cost-diff | 1 | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) z) | |
| cost-diff | 0 | #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) | |
| cost-diff | 0 | (+.f64 #s(approx (cos y) #s(literal 1 binary64)) 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 #s(approx (cos y) #s(literal 1 binary64)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 394 |
| 0 | 82 | 389 |
| 1 | 153 | 387 |
| 2 | 325 | 382 |
| 3 | 728 | 382 |
| 4 | 1617 | 379 |
| 5 | 2954 | 379 |
| 6 | 4488 | 379 |
| 7 | 5880 | 379 |
| 0 | 8082 | 373 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(sin.f64 y) |
y |
(neg.f64 z) |
z |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y))) |
#s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
y |
#s(literal -1 binary64) |
z |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y))) |
(*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y)) |
(-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) |
(/.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
#s(literal 1/2 binary64) |
(*.f64 y y) |
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z y))) |
(+.f64 x #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
x |
#s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 y y)) |
#s(literal 1/24 binary64) |
(*.f64 y y) |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (* z (sin y)) (*.f64 z y)) |
(*.f64 z y) |
z |
| Outputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
(sin.f64 y) |
y |
(neg.f64 z) |
z |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)) |
#s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 y) z) |
(*.f64 (neg.f64 z) y) |
(neg.f64 y) |
y |
z |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (neg.f64 z)))) |
#s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y)) |
#s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (neg.f64 z))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (neg.f64 z)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
y |
#s(literal -1 binary64) |
z |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64))))) |
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y))) |
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y)) |
(*.f64 (*.f64 y y) (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64))) |
(-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) |
(/.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
#s(literal 1/2 binary64) |
(*.f64 y y) |
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z y))) |
(-.f64 (+.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) #s(approx (* z (sin y)) (*.f64 z y))) |
(+.f64 x #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(+.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
x |
#s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 y y)) |
#s(literal 1/24 binary64) |
(*.f64 y y) |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (* z (sin y)) (*.f64 z y)) |
(*.f64 z y) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05078125 | (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 0.37880670789038845 | (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) | |
| accuracy | 29.37702122396514 | #s(approx (* z (sin y)) (*.f64 z y)) | |
| accuracy | 29.62010577350044 | #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) | |
| accuracy | 25.530802203336922 | (*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y)) | |
| accuracy | 26.096727768985996 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) | |
| accuracy | 33.090927085222646 | #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) | |
| accuracy | 0.35546875 | (*.f64 #s(literal 1/6 binary64) y) | |
| accuracy | 1.8974142612786913 | (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) | |
| accuracy | 29.282498674498868 | #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y)) | |
| accuracy | 43.2531823413133 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y))) | |
| accuracy | 0.0 | (*.f64 (neg.f64 y) z) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 22.998054433994565 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) | |
| accuracy | 36.410318306386046 | #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.00390625 | (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) | |
| accuracy | 0.0390625 | (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| accuracy | 27.4122374277825 | #s(approx (cos y) #s(literal 1 binary64)) |
| 197.0ms | 256× | 0 | valid |
Compiled 228 to 49 computations (78.5% saved)
ival-div: 31.0ms (25.6% of total)ival-add: 31.0ms (25.6% of total)ival-mult: 31.0ms (25.6% of total)const: 8.0ms (6.6% of total)ival-sin: 7.0ms (5.8% of total)ival-sub: 6.0ms (4.9% of total)ival-cos: 5.0ms (4.1% of total)ival-neg: 2.0ms (1.6% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(sin.f64 y) |
(neg.f64 z) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y))) |
#s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y))) |
(*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y)) |
(-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) |
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z y))) |
(+.f64 x #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) |
#s(approx (* z (sin y)) (*.f64 z y)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 y 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 (* y z))) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2)) |
(+ x (* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2))) |
(- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2) |
(- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2) |
(/ (+ (* -1 z) (/ 1 y)) y) |
(+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) |
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 (/ (* y z) x)) (/ 1 x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (/ (* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2)) x))) |
(/ x (pow y 2)) |
(* x (- (+ (* -1 (/ z (* x y))) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 2)))) (* 1/2 (/ 1 x)))) |
(* x (+ (* -1 (/ z (* x y))) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 2))))) |
(* -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 (* -1 (* y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2) x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ z y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 2))))) |
(+ 1 x) |
(+ 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 (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(* -1 (* y z)) |
(* -1 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 z) (* 1/6 (* (pow y 2) z))) |
(/ (+ 1 x) (pow y 2)) |
(/ (+ 1 (+ x (* -1 (* y z)))) (pow y 2)) |
(/ (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) (pow y 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))) |
(* 1/6 y) |
(* 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))))))) |
(* 1/24 (pow y 2)) |
(sin y) |
(* y (+ (* -1 z) (+ (/ 1 y) (/ x y)))) |
(* 1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* -1 (* z (sin y))) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
-1/2 |
(- (* -1 (/ z y)) 1/2) |
(* 1/24 (pow y 4)) |
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) |
(* -1 (/ z y)) |
(/ (+ (* -1 z) (+ (/ 1 y) (/ x y))) y) |
(* z (sin y)) |
(* -1 (* y (+ z (* -1 (/ (+ 1 x) y))))) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2) |
(* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2)) |
(+ (* -1 (* y z)) (* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2))) |
(- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2) |
(/ (+ (/ 1 y) (/ x y)) y) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (+ (* -1 y) (+ (/ 1 z) (/ x z)))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1 y) (/ (* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2)) z))) |
(* z (- (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))) (+ (/ 1 y) (* 1/2 (/ 1 z))))) |
(* z (- (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))) (/ 1 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 x) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2)) z))))) |
(* -1 (* z (+ (* -1 (/ (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2) z)) (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ (+ (/ 1 (pow y 2)) (/ x (pow y 2))) z)) (/ 1 y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 56.0ms | z | @ | -inf | ((+ (* (sin y) (neg z)) (+ (cos y) x)) (sin y) (neg z) (+ (cos y) x) (- (+ x (cos y)) (* z (sin y))) (+ (* (neg z) y) (+ 1 x)) (* (neg y) z) (neg y) (* (* (+ (* (* 1/6 y) y) -1) z) y) (- (+ x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (* (+ (* (* 1/6 y) y) -1) z) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (* y y)) (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (+ (* (- (* 1/24 (* y y)) 1/2) (* y y)) 1) (cos y) (* 1/6 y) (/ (+ (* -1 z) (/ (- x -1) y)) y) (* z (sin y)) (* 1/24 (* y y))) |
| 4.0ms | z | @ | inf | ((+ (* (sin y) (neg z)) (+ (cos y) x)) (sin y) (neg z) (+ (cos y) x) (- (+ x (cos y)) (* z (sin y))) (+ (* (neg z) y) (+ 1 x)) (* (neg y) z) (neg y) (* (* (+ (* (* 1/6 y) y) -1) z) y) (- (+ x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (* (+ (* (* 1/6 y) y) -1) z) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (* y y)) (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (+ (* (- (* 1/24 (* y y)) 1/2) (* y y)) 1) (cos y) (* 1/6 y) (/ (+ (* -1 z) (/ (- x -1) y)) y) (* z (sin y)) (* 1/24 (* y y))) |
| 4.0ms | z | @ | 0 | ((+ (* (sin y) (neg z)) (+ (cos y) x)) (sin y) (neg z) (+ (cos y) x) (- (+ x (cos y)) (* z (sin y))) (+ (* (neg z) y) (+ 1 x)) (* (neg y) z) (neg y) (* (* (+ (* (* 1/6 y) y) -1) z) y) (- (+ x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (* (+ (* (* 1/6 y) y) -1) z) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (* y y)) (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (+ (* (- (* 1/24 (* y y)) 1/2) (* y y)) 1) (cos y) (* 1/6 y) (/ (+ (* -1 z) (/ (- x -1) y)) y) (* z (sin y)) (* 1/24 (* y y))) |
| 3.0ms | y | @ | inf | ((+ (* (sin y) (neg z)) (+ (cos y) x)) (sin y) (neg z) (+ (cos y) x) (- (+ x (cos y)) (* z (sin y))) (+ (* (neg z) y) (+ 1 x)) (* (neg y) z) (neg y) (* (* (+ (* (* 1/6 y) y) -1) z) y) (- (+ x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (* (+ (* (* 1/6 y) y) -1) z) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (* y y)) (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (+ (* (- (* 1/24 (* y y)) 1/2) (* y y)) 1) (cos y) (* 1/6 y) (/ (+ (* -1 z) (/ (- x -1) y)) y) (* z (sin y)) (* 1/24 (* y y))) |
| 3.0ms | y | @ | -inf | ((+ (* (sin y) (neg z)) (+ (cos y) x)) (sin y) (neg z) (+ (cos y) x) (- (+ x (cos y)) (* z (sin y))) (+ (* (neg z) y) (+ 1 x)) (* (neg y) z) (neg y) (* (* (+ (* (* 1/6 y) y) -1) z) y) (- (+ x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (* (+ (* (* 1/6 y) y) -1) z) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (* y y)) (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (+ (* (- (* 1/24 (* y y)) 1/2) (* y y)) 1) (cos y) (* 1/6 y) (/ (+ (* -1 z) (/ (- x -1) y)) y) (* z (sin y)) (* 1/24 (* y y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 324 | 1305 |
| 1 | 1079 | 1231 |
| 2 | 3716 | 1224 |
| 0 | 8556 | 1173 |
| 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 (* y z))) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2)) |
(+ x (* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2))) |
(- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2) |
(- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2) |
(/ (+ (* -1 z) (/ 1 y)) y) |
(+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) |
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 (/ (* y z) x)) (/ 1 x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (/ (* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2)) x))) |
(/ x (pow y 2)) |
(* x (- (+ (* -1 (/ z (* x y))) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 2)))) (* 1/2 (/ 1 x)))) |
(* x (+ (* -1 (/ z (* x y))) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 2))))) |
(* -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 (* -1 (* y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2) x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ z y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 2))))) |
(+ 1 x) |
(+ 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 (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(* -1 (* y z)) |
(* -1 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 z) (* 1/6 (* (pow y 2) z))) |
(/ (+ 1 x) (pow y 2)) |
(/ (+ 1 (+ x (* -1 (* y z)))) (pow y 2)) |
(/ (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) (pow y 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))) |
(* 1/6 y) |
(* 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))))))) |
(* 1/24 (pow y 2)) |
(sin y) |
(* y (+ (* -1 z) (+ (/ 1 y) (/ x y)))) |
(* 1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* -1 (* z (sin y))) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
-1/2 |
(- (* -1 (/ z y)) 1/2) |
(* 1/24 (pow y 4)) |
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) |
(* -1 (/ z y)) |
(/ (+ (* -1 z) (+ (/ 1 y) (/ x y))) y) |
(* z (sin y)) |
(* -1 (* y (+ z (* -1 (/ (+ 1 x) y))))) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2) |
(* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2)) |
(+ (* -1 (* y z)) (* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2))) |
(- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2) |
(/ (+ (/ 1 y) (/ x y)) y) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (+ (* -1 y) (+ (/ 1 z) (/ x z)))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1 y) (/ (* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2)) z))) |
(* z (- (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))) (+ (/ 1 y) (* 1/2 (/ 1 z))))) |
(* z (- (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))) (/ 1 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 x) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2)) z))))) |
(* -1 (* z (+ (* -1 (/ (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2) z)) (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ (+ (/ 1 (pow y 2)) (/ x (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 x (cos.f64 y))) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 x (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 x (cos.f64 y))) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(+ 1 (+ x (* -1 (* y z)))) |
(fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (* y (- (* -1/2 y) z))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) 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)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)) |
(+ x (* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/2 binary64)) (*.f64 y y) x) |
(- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2) |
(-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/2 binary64)) |
(- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2) |
(-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (+.f64 #s(literal 1 binary64) x) y)) y) #s(literal 1/2 binary64)) |
(/ (+ (* -1 z) (/ 1 y)) y) |
(/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 #s(literal 1 binary64) y)) y) |
(+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (+.f64 #s(literal 1 binary64) x) y)) y) |
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 (/ (* y z) x)) (/ 1 x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) x x) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(literal 1 binary64)) x) x x) |
(* x (+ 1 (/ (* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2)) x))) |
(fma.f64 (*.f64 (*.f64 x y) y) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/2 binary64)) x) x) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* x (- (+ (* -1 (/ z (* x y))) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 2)))) (* 1/2 (/ 1 x)))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 y y)) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) z #s(literal -1/2 binary64)) x)) x) |
(* x (+ (* -1 (/ z (* x y))) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 2))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 y y)) (/.f64 (/.f64 z x) y)) x) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y))) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (cos.f64 y) (neg.f64 x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y))) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 (* y z))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 z y #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2)) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)) (neg.f64 x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2) x)) (/ 1 (pow y 2))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/2 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ z y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 2))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 #s(literal 1 binary64) y)) y) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 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 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) y) |
(+ 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 (-.f64 (*.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)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 y y) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 y) |
(neg.f64 y) |
(* 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) |
(neg.f64 z) |
(+ (* -1 z) (* 1/6 (* (pow y 2) z))) |
(*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
(/ (+ 1 x) (pow y 2)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y) |
(/ (+ 1 (+ x (* -1 (* y z)))) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x)) y) y) |
(/ (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) y) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* 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 (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 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64)) 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))) z) y)) |
(* 1/24 (pow y 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 y y)) |
(sin y) |
(sin.f64 y) |
(* y (+ (* -1 z) (+ (/ 1 y) (/ x y)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (+.f64 #s(literal 1 binary64) x) y)) y) |
(* 1/6 (* (pow y 3) z)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal 1/6 binary64)) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) z (/.f64 (/.f64 z y) y))) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* 1/6 (* (pow y 2) z)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (/.f64 (neg.f64 z) y) y)) y) 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 (/.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) y) y) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (+.f64 #s(literal 1 binary64) x) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* -1 (/ z y)) 1/2) |
(-.f64 (/.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) |
(* 1/24 (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/24 binary64)) |
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64))) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(/ (+ (* -1 z) (+ (/ 1 y) (/ x y))) y) |
(/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (+.f64 #s(literal 1 binary64) x) y)) y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* y (+ z (* -1 (/ (+ 1 x) y))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (+.f64 #s(literal 1 binary64) x) y)) y) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) z (/.f64 (/.f64 z y) y))) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (+.f64 #s(literal 1 binary64) x) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)) |
(- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2) |
(-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (+.f64 #s(literal 1 binary64) x) y)) y) #s(literal 1/2 binary64)) |
(* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) |
(/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (+.f64 #s(literal 1 binary64) x) y)) y) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) #s(literal 1 binary64)) z) y) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) #s(literal 1 binary64)) z) |
(+ 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)) |
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2)) |
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y) #s(literal 1/2 binary64)) (*.f64 y y)) |
(+ (* -1 (* y z)) (* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2))) |
(fma.f64 (neg.f64 y) z (*.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y) #s(literal 1/2 binary64)) (*.f64 y y))) |
(- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2) |
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y) #s(literal 1/2 binary64)) |
(/ (+ (/ 1 y) (/ x y)) y) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)) z) |
(* z (+ (* -1 y) (+ (/ 1 z) (/ x z)))) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y) z) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) x)) z) y) z) |
(* z (+ (* -1 y) (/ (* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2)) z))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y) #s(literal 1/2 binary64)) z) (*.f64 y y) (neg.f64 y)) z) |
(* z (- (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))) (+ (/ 1 y) (* 1/2 (/ 1 z))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y) #s(literal 1/2 binary64)) z) (/.f64 #s(literal 1 binary64) y)) z) |
(* z (- (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) z) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 (-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)) z) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)) z) |
(* -1 (* z (+ y (* -1 (/ (+ 1 x) z))))) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y) z) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -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 (* z (+ y (* -1 (/ (* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2)) z))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y) #s(literal 1/2 binary64)) z) (*.f64 y y) (neg.f64 y)) z) |
(* -1 (* z (+ (* -1 (/ (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) 1/2) z)) (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y) #s(literal 1/2 binary64)) z) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ (+ (/ 1 (pow y 2)) (/ x (pow y 2))) z)) (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 347 |
| 0 | 82 | 342 |
| 1 | 344 | 335 |
| 2 | 2698 | 335 |
| 0 | 8809 | 333 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(sin.f64 y) |
(neg.f64 z) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y))) |
#s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y))) |
(*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y)) |
(-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) |
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z y))) |
(+.f64 x #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) |
#s(approx (* z (sin y)) (*.f64 z y)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 y y)) |
| Outputs |
|---|
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (cos y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (cos y) #s(literal 1 binary64))) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (sin.f64 y) (neg.f64 z))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (cos y) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (cos y) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (cos y) #s(literal 1 binary64))) x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (sin.f64 y) (neg.f64 z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (*.f64 (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (pow.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (sin.f64 y) (neg.f64 z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (*.f64 (fma.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (sin.f64 y) (neg.f64 z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (pow.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (sin.f64 y) (neg.f64 z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (sin.f64 y) (neg.f64 z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (cos y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (cos y) #s(literal 1 binary64))) x)) |
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(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) y) y))) |
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 y)) (neg.f64 y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) y) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) y) y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) y) y) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) y) y) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) y) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) y)) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 y y))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y y)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) y) y))) (pow.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) y) y)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) y) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) y) y)) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
(*.f64 y #s(literal 1/6 binary64)) |
#s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) |
#s(approx (* z (sin y)) (*.f64 z y)) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 y))) y) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/24 binary64) y)) y) |
(*.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 #s(literal 1/24 binary64) y) y) |
(*.f64 #s(literal 1/24 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1/24 binary64)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/24 binary64))) |
(*.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 1/24 binary64)))) |
(*.f64 y (fabs.f64 (*.f64 #s(literal 1/24 binary64) y))) |
(*.f64 y (*.f64 #s(literal 1/24 binary64) y)) |
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/576 binary64))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) |
(fabs.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) |
Compiled 12 718 to 1 368 computations (89.2% saved)
32 alts after pruning (21 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 302 | 10 | 312 |
| Fresh | 3 | 11 | 14 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 6 | 6 |
| Total | 305 | 32 | 337 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
| ✓ | 91.2% | (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
| 60.2% | (fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (+ (cos y) x) (cos.f64 y))) | |
| ✓ | 68.6% | (-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
| ✓ | 55.8% | (-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z y))) |
| 57.6% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.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))) | |
| 31.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) | |
| ✓ | 64.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
| ✓ | 60.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | 32.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| 57.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(literal 1 binary64)) x) x x))) | |
| 18.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) | |
| 13.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) y (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))) (*.f64 (*.f64 (neg.f64 y) y) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) | |
| ✓ | 6.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
| 3.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) | |
| 18.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) y) y)) (*.f64 y y)))) | |
| 20.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y)) (*.f64 y y)))) | |
| 15.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 x (*.f64 y y))) (*.f64 y y)))) | |
| 13.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y) #s(literal 1/2 binary64)) z) (/.f64 #s(literal 1 binary64) y)) z)) (*.f64 y y)))) | |
| 16.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) #s(approx (* (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y) #s(literal 1/2 binary64)) y) y)))) | |
| 12.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) z) y))) | |
| 57.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x #s(literal 1 binary64)))) | |
| 61.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) x x))) | |
| 31.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) | |
| 50.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) y))) | |
| ✓ | 12.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
| ✓ | 22.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| 12.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y)))) | |
| 12.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) (neg.f64 z)) y))) | |
| ✓ | 12.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y))) |
| 12.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y) z))) | |
| 2.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) -1) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) y))) |
Compiled 2 199 to 924 computations (58% 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 (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (-.f64 #s(literal 1 binary64) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) -1) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) (neg.f64 z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) x x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 x (*.f64 y y))) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 z y #s(literal -1 binary64)) x) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) #s(literal 1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.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)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(literal 1 binary64)) x) x x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.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))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y)) (*.f64 y y)))) |
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) #s(approx (* (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y) #s(literal 1/2 binary64)) y) y)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.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))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) y) y)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) y (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))) (*.f64 (*.f64 (neg.f64 y) y) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y) #s(literal 1/2 binary64)) z) (/.f64 #s(literal 1 binary64) y)) z)) (*.f64 y y)))) |
#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)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
(-.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)) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
4 calls:
| 17.0ms | z |
| 13.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 13.0ms | y |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (+ x (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 (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (-.f64 #s(literal 1 binary64) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) -1) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) (neg.f64 z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) x x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 x (*.f64 y y))) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 z y #s(literal -1 binary64)) x) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) #s(literal 1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.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)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(literal 1 binary64)) x) x x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.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))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y)) (*.f64 y y)))) |
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) #s(approx (* (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y) #s(literal 1/2 binary64)) y) y)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.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))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) y) y)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) y (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))) (*.f64 (*.f64 (neg.f64 y) y) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y) #s(literal 1/2 binary64)) z) (/.f64 #s(literal 1 binary64) y)) z)) (*.f64 y y)))) |
#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)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
(-.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 | z |
| 13.0ms | x |
| 11.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (+ x (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 (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (-.f64 #s(literal 1 binary64) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) -1) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) (neg.f64 z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) x x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 x (*.f64 y y))) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 z y #s(literal -1 binary64)) x) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) #s(literal 1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.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)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(literal 1 binary64)) x) x x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.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))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y)) (*.f64 y y)))) |
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) #s(approx (* (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y) #s(literal 1/2 binary64)) y) y)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.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))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) y) y)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) y (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))) (*.f64 (*.f64 (neg.f64 y) y) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y) #s(literal 1/2 binary64)) z) (/.f64 #s(literal 1 binary64) y)) z)) (*.f64 y y)))) |
#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)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
(-.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(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
4 calls:
| 18.0ms | x |
| 12.0ms | y |
| 11.0ms | z |
| 10.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 99.4% | 3 | x |
| 91.2% | 1 | y |
| 95.6% | 3 | 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 (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (-.f64 #s(literal 1 binary64) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) -1) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) (neg.f64 z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) x x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 x (*.f64 y y))) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 z y #s(literal -1 binary64)) x) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) #s(literal 1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.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)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(literal 1 binary64)) x) x x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.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))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y)) (*.f64 y y)))) |
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) #s(approx (* (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y) #s(literal 1/2 binary64)) y) y)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.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))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) y) y)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) y (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))) (*.f64 (*.f64 (neg.f64 y) y) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y) #s(literal 1/2 binary64)) z) (/.f64 #s(literal 1 binary64) y)) z)) (*.f64 y y)))) |
#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)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(-.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))) |
3 calls:
| 21.0ms | x |
| 12.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 3 | z |
| 95.2% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 91.2% | 1 | x |
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 (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (-.f64 #s(literal 1 binary64) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) -1) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) (neg.f64 z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) x x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 x (*.f64 y y))) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 z y #s(literal -1 binary64)) x) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) #s(literal 1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.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)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(literal 1 binary64)) x) x x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.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))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y)) (*.f64 y y)))) |
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) #s(approx (* (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y) #s(literal 1/2 binary64)) y) y)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.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))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) y) y)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) y (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))) (*.f64 (*.f64 (neg.f64 y) y) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y) #s(literal 1/2 binary64)) z) (/.f64 #s(literal 1 binary64) y)) z)) (*.f64 y y)))) |
#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:
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 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 (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (-.f64 #s(literal 1 binary64) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) -1) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) (neg.f64 z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) x x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 x (*.f64 y y))) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 z y #s(literal -1 binary64)) x) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) #s(literal 1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.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)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(literal 1 binary64)) x) x x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.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))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y)) (*.f64 y y)))) |
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) #s(approx (* (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y) #s(literal 1/2 binary64)) y) y)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.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))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) y) y)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) y (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))) (*.f64 (*.f64 (neg.f64 y) y) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y) #s(literal 1/2 binary64)) z) (/.f64 #s(literal 1 binary64) y)) z)) (*.f64 y y)))) |
#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:
| 13.0ms | z |
| 12.0ms | x |
| 9.0ms | y |
| 9.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.2% | 1 | y |
| 91.2% | 1 | x |
| 91.2% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 91.2% | 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 (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (-.f64 #s(literal 1 binary64) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) -1) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) (neg.f64 z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) x x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 x (*.f64 y y))) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 z y #s(literal -1 binary64)) x) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) #s(literal 1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.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)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(literal 1 binary64)) x) x x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.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))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y)) (*.f64 y y)))) |
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) #s(approx (* (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y) #s(literal 1/2 binary64)) y) y)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.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))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) y) y)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) y (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))) (*.f64 (*.f64 (neg.f64 y) y) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y) #s(literal 1/2 binary64)) z) (/.f64 #s(literal 1 binary64) y)) z)) (*.f64 y y)))) |
#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))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
4 calls:
| 12.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 12.0ms | x |
| 9.0ms | y |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.1% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 74.8% | 3 | y |
| 73.4% | 6 | x |
| 74.7% | 3 | 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 (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (-.f64 #s(literal 1 binary64) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) -1) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) (neg.f64 z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) x x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 x (*.f64 y y))) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 z y #s(literal -1 binary64)) x) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) #s(literal 1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.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)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(literal 1 binary64)) x) x x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.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))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y)) (*.f64 y y)))) |
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) #s(approx (* (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y) #s(literal 1/2 binary64)) y) y)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.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))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) y) y)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) y (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))) (*.f64 (*.f64 (neg.f64 y) y) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y) #s(literal 1/2 binary64)) z) (/.f64 #s(literal 1 binary64) y)) z)) (*.f64 y y)))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.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)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
2 calls:
| 12.0ms | z |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.9% | 3 | z |
| 70.8% | 3 | y |
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 (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (-.f64 #s(literal 1 binary64) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) -1) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) (neg.f64 z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) x x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 #s(approx (- (/ (+ (* -1 z) (/ (- x -1) y)) y) 1/2) (/.f64 x (*.f64 y y))) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (-.f64 #s(approx (/ (+ (* -1 z) (/ (- x -1) y)) y) (/.f64 (neg.f64 z) y)) #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 z y #s(literal -1 binary64)) x) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* 1/6 (* z y)) 1/2) y) (neg z)) y) (- x -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) #s(literal 1/2 binary64)) y (neg.f64 z)) y #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))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.7% | 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 (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (-.f64 #s(literal 1 binary64) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #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))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.5% | 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 (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (-.f64 #s(literal 1 binary64) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
| 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) y) (+ 1 x)) (-.f64 #s(literal 1 binary64) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
4 calls:
| 6.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.0% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 67.1% | 3 | x |
| 63.5% | 2 | z |
| 63.4% | 3 | 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 (+ (* (neg z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
| Outputs |
|---|
#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)) |
2 calls:
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.3% | 2 | z |
| 60.0% | 1 | x |
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)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
2 calls:
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.0% | 1 | y |
| 60.0% | 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 |
|---|---|---|
| 22.0% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 22.0% | 1 | y |
| 22.0% | 1 | x |
| 22.0% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 48.0ms | 6.59034354913633e-6 | 2095031309098592.0 |
| 30.0ms | -1.0143232243549878e-7 | -7.362852746777594e-10 |
| 64.0ms | 281× | 0 | valid |
| 1.0ms | 5× | 2 | valid |
| 1.0ms | 1× | 3 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 426 to 410 computations (3.8% saved)
ival-cos: 8.0ms (40.9% of total)ival-sin: 6.0ms (30.7% of total)ival-add: 2.0ms (10.2% of total)ival-mult: 2.0ms (10.2% of total)ival-sub: 1.0ms (5.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 1.4591292066661061e-131 | 6.396414433432249e-121 |
| 63.0ms | -1.6653907758719018e-105 | -3.622873576711e-109 |
| 36.0ms | 288× | 0 | valid |
Compiled 444 to 410 computations (7.7% saved)
ival-mult: 12.0ms (43.2% of total)ival-cos: 7.0ms (25.2% of total)ival-sin: 6.0ms (21.6% of total)ival-sub: 1.0ms (3.6% of total)ival-add: 1.0ms (3.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.4591292066661061e-131 | 6.396414433432249e-121 |
| 1.0ms | -1.6653907758719018e-105 | -3.622873576711e-109 |
Compiled 444 to 410 computations (7.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 1.735723728486766e+23 | 1.7354440138701804e+25 |
| 27.0ms | -1.4181381539207348e+38 | -1.4250689050021493e+28 |
| 33.0ms | 272× | 0 | valid |
Compiled 556 to 473 computations (14.9% saved)
ival-sin: 12.0ms (45.6% of total)ival-cos: 9.0ms (34.2% of total)ival-mult: 2.0ms (7.6% of total)ival-sub: 1.0ms (3.8% of total)ival-add: 1.0ms (3.8% 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 |
|---|---|---|
| 35.0ms | 3.532549768222201 | 2093.638567847765 |
| 12.0ms | -43361433241128.32 | -14967230512797.93 |
| 23.0ms | 208× | 0 | valid |
Compiled 519 to 430 computations (17.1% saved)
ival-cos: 7.0ms (40% of total)ival-sin: 7.0ms (40% of total)ival-sub: 1.0ms (5.7% of total)ival-add: 1.0ms (5.7% of total)ival-mult: 1.0ms (5.7% 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 |
|---|---|---|
| 20.0ms | 3.532549768222201 | 2093.638567847765 |
| 20.0ms | -681.750509083133 | -27.60948695710258 |
| 31.0ms | 224× | 0 | valid |
Compiled 507 to 434 computations (14.4% saved)
ival-cos: 11.0ms (43% of total)ival-sin: 7.0ms (27.4% of total)ival-mult: 5.0ms (19.6% of total)ival-sub: 1.0ms (3.9% of total)ival-add: 1.0ms (3.9% 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 |
|---|---|---|
| 21.0ms | 3.2641359737058534e+79 | 1.207923027163361e+83 |
| 12.0ms | -681.750509083133 | -27.60948695710258 |
| 23.0ms | 208× | 0 | valid |
Compiled 462 to 404 computations (12.6% saved)
ival-cos: 7.0ms (40.3% of total)ival-sin: 7.0ms (40.3% of total)ival-sub: 1.0ms (5.8% of total)ival-add: 1.0ms (5.8% of total)ival-mult: 1.0ms (5.8% 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 |
|---|---|---|
| 19.0ms | 2095031309098592.0 | 1.6000193535165568e+23 |
| 14.0ms | -2.792216358285043e-10 | -4.9412351967232614e-12 |
| 23.0ms | 256× | 0 | valid |
Compiled 604 to 510 computations (15.6% saved)
ival-cos: 5.0ms (30.7% of total)ival-sin: 5.0ms (30.7% of total)ival-mult: 3.0ms (18.4% of total)ival-add: 2.0ms (12.3% of total)ival-sub: 1.0ms (6.1% 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 |
|---|---|---|
| 17.0ms | -1.0107198567317434e+217 | -9.215142108431306e+213 |
| 12.0ms | 128× | 0 | valid |
Compiled 276 to 230 computations (16.7% saved)
ival-cos: 3.0ms (39.4% of total)ival-sin: 3.0ms (39.4% of total)ival-sub: 1.0ms (13.1% of total)ival-add: 1.0ms (13.1% of total)ival-mult: 1.0ms (13.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 428 |
| 1 | 175 | 427 |
| 2 | 237 | 427 |
| 3 | 306 | 427 |
| 4 | 335 | 427 |
| 5 | 409 | 427 |
| 6 | 638 | 427 |
| 7 | 1270 | 427 |
| 8 | 3054 | 427 |
| 9 | 6018 | 427 |
| 1× | node limit |
| 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 x #s(literal -4835703278458517/302231454903657293676544 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 7791904696734915/1180591620717411303424 binary64)) (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.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 -3873374817130363/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 8931394244144417/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 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 -3873374817130363/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 8931394244144417/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 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 y #s(literal -37000000000000000868587308037701632 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal 550000000000000004194304 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(if (<=.f64 y #s(literal -15000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 47/2 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.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)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 y #s(literal -66 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 540 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 y #s(literal -34 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 279999999999999984277663870899850369617022570756797417640505226787404636819030016 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 x #s(literal -8356095265176317/309485009821345068724781056 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 2100000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (-.f64 #s(literal 1 binary64) (*.f64 z y)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 z #s(literal -48000000000000001640594667818181761858151768018962516685761009404163248702176801558474335198230898295223425508390160950828863338626247426983769062085987366656796599947834309164092962939405712661164115583073412710400 binary64)) #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))) (+.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)) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 x #s(literal -4835703278458517/302231454903657293676544 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 7791904696734915/1180591620717411303424 binary64)) (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.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 -3873374817130363/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 8931394244144417/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 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 -3873374817130363/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 8931394244144417/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 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 (or (<=.f64 z #s(literal -3873374817130363/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) (not (<=.f64 z #s(literal 8931394244144417/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 binary64)))) (-.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))) |
(if (<=.f64 y #s(literal -37000000000000000868587308037701632 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal 550000000000000004194304 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(if (or (<=.f64 y #s(literal -37000000000000000868587308037701632 binary64)) (not (<=.f64 y #s(literal 550000000000000004194304 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 y #s(literal -15000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 47/2 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.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)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (or (<=.f64 y #s(literal -15000000000000 binary64)) (not (<=.f64 y #s(literal 47/2 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (-.f64 (*.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))))) |
(if (<=.f64 y #s(literal -66 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 540 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (or (<=.f64 y #s(literal -66 binary64)) (not (<=.f64 y #s(literal 540 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 y #s(literal -34 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 279999999999999984277663870899850369617022570756797417640505226787404636819030016 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (or (<=.f64 y #s(literal -34 binary64)) (not (<=.f64 y #s(literal 279999999999999984277663870899850369617022570756797417640505226787404636819030016 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 x #s(literal -8356095265176317/309485009821345068724781056 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 2100000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) (+ 1 x)) (-.f64 #s(literal 1 binary64) (*.f64 z y)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (or (<=.f64 x #s(literal -8356095265176317/309485009821345068724781056 binary64)) (not (<=.f64 x #s(literal 2100000000000000 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) y) (+ 1 x)) (-.f64 #s(literal 1 binary64) (*.f64 z y))))) |
(if (<=.f64 z #s(literal -48000000000000001640594667818181761858151768018962516685761009404163248702176801558474335198230898295223425508390160950828863338626247426983769062085987366656796599947834309164092962939405712661164115583073412710400 binary64)) #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))) (+.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 | 362 | 1449 |
| 1 | 1210 | 1356 |
| 2 | 4342 | 1342 |
| 0 | 8842 | 1279 |
| 0 | 218 | 684 |
| 1 | 729 | 660 |
| 2 | 2505 | 640 |
| 3 | 7826 | 640 |
| 0 | 8132 | 597 |
| 0 | 118 | 341 |
| 1 | 370 | 336 |
| 2 | 1127 | 328 |
| 3 | 4378 | 324 |
| 0 | 8138 | 301 |
| 0 | 44 | 246 |
| 0 | 67 | 246 |
| 1 | 293 | 246 |
| 2 | 2375 | 246 |
| 0 | 8295 | 244 |
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 52 | 21 |
| 2 | 460 | 21 |
| 3 | 6713 | 21 |
| 0 | 8151 | 21 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 684 to 335 computations (51% saved)
Compiled 874 to 246 computations (71.9% saved)
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