
Time bar (total: 8.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 1.2s | 8 253× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
| 0.0ms | 1× | 2 | valid |
ival-cos: 297.0ms (35.1% of total)ival-sin: 250.0ms (29.5% of total)ival-add: 110.0ms (13% of total)ival-sub: 90.0ms (10.6% of total)ival-mult: 88.0ms (10.4% of total)ival-true: 5.0ms (0.6% of total)ival-assert: 3.0ms (0.4% of total)adjust: 2.0ms (0.2% 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 |
| 83.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-cos: 44.0ms (67.1% of total)ival-sin: 11.0ms (16.8% of total)ival-mult: 4.0ms (6.1% of total)ival-add: 3.0ms (4.6% of total)ival-sub: 2.0ms (3.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 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 | 0.0 | (cos.f64 y) | |
| accuracy | 0.015625 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.14453125 | (*.f64 z (sin.f64 y)) |
| 44.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-sin: 24.0ms (68% of total)ival-cos: 6.0ms (17% of total)ival-mult: 2.0ms (5.7% of total)ival-sub: 1.0ms (2.8% of total)ival-add: 1.0ms (2.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (+.f64 x (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)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 181 | 10 | 191 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 182 | 10 | 192 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 67.0% | (-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
| 87.5% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| 52.3% | #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))) | |
| ▶ | 90.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) |
| ▶ | 52.4% | #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))) |
| 63.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) | |
| 61.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) | |
| ▶ | 59.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| 87.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) | |
| ▶ | 30.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
Compiled 350 to 266 computations (24% 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 | (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) | |
| cost-diff | 3 | (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 182 |
| 0 | 45 | 182 |
| 1 | 80 | 182 |
| 2 | 147 | 180 |
| 3 | 315 | 176 |
| 4 | 705 | 176 |
| 5 | 2005 | 176 |
| 6 | 4104 | 176 |
| 7 | 7577 | 176 |
| 0 | 8045 | 176 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
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 |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
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))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 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)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 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))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
(-.f64 (+.f64 (cos.f64 y) x) #s(approx (* z (sin y)) (*.f64 z y))) |
(+.f64 x (cos.f64 y)) |
(+.f64 (cos.f64 y) x) |
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 | 0.0 | (cos.f64 y) | |
| accuracy | 0.015625 | (-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| accuracy | 31.560859898850435 | #s(approx (* z (sin y)) (*.f64 z y)) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.14453125 | (*.f64 (neg.f64 z) (sin.f64 y)) | |
| accuracy | 44.638062035456166 | #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 | 0.0078125 | (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 30.436564958404404 | #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 | 26.040690628153556 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) | |
| accuracy | 0.0703125 | (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) | |
| accuracy | 0.140625 | (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) | |
| accuracy | 5.971631534304171 | (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
| 66.0ms | 256× | 0 | valid |
Compiled 147 to 24 computations (83.7% saved)
ival-mult: 14.0ms (37.1% of total)ival-add: 6.0ms (15.9% of total)ival-sin: 6.0ms (15.9% of total)ival-cos: 6.0ms (15.9% of total)ival-div: 2.0ms (5.3% of total)ival-sub: 2.0ms (5.3% of total)ival-neg: 1.0ms (2.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
#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)) |
(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) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
1 |
(+ 1 x) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(cos y) |
(+ x (cos y)) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (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)))) |
(* x (+ 1 (/ (cos y) x))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin 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 (/ (cos y) x)) 1))) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(/ 1 x) |
(+ (* -1 (/ (* y z) x)) (/ 1 x)) |
(+ (* y (+ (* -1 (/ z x)) (* -1/2 (/ y x)))) (/ 1 x)) |
(+ (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))))) (/ 1 x)) |
(+ 1 (* -1 (* y z))) |
(+ 1 (* y (+ (* -1 z) (* -1/2 y)))) |
(+ 1 (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))) |
(* -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)))))))) |
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 (* -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))))))) |
(* -1/2 (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))) |
(sin y) |
(* z (sin y)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(/ (cos y) x) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(+ 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))) |
(* -1 (/ (* z (sin y)) x)) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(* 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 (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
(* -1 (* z (+ (sin y) (* -1 (/ (cos y) z))))) |
(* -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 | |
|---|---|---|---|---|
| 27.0ms | y | @ | inf | ((+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (- (+ x (cos y)) (* z (sin y))) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (- (+ 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)) (neg z) (sin y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (* z y)) |
| 3.0ms | y | @ | 0 | ((+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (- (+ x (cos y)) (* z (sin y))) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (- (+ 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)) (neg z) (sin y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (* z y)) |
| 2.0ms | z | @ | -inf | ((+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (- (+ x (cos y)) (* z (sin y))) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (- (+ 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)) (neg z) (sin y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (* z y)) |
| 2.0ms | y | @ | -inf | ((+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (- (+ x (cos y)) (* z (sin y))) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (- (+ 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)) (neg z) (sin y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (* z y)) |
| 2.0ms | z | @ | inf | ((+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (- (+ x (cos y)) (* z (sin y))) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (- (+ 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)) (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 | 254 | 845 |
| 1 | 856 | 808 |
| 2 | 2907 | 780 |
| 3 | 7475 | 780 |
| 0 | 8015 | 732 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (cos y) (* -1 (* z (sin y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
1 |
(+ 1 x) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(cos y) |
(+ x (cos y)) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (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)))) |
(* x (+ 1 (/ (cos y) x))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin 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 (/ (cos y) x)) 1))) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(/ 1 x) |
(+ (* -1 (/ (* y z) x)) (/ 1 x)) |
(+ (* y (+ (* -1 (/ z x)) (* -1/2 (/ y x)))) (/ 1 x)) |
(+ (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))))) (/ 1 x)) |
(+ 1 (* -1 (* y z))) |
(+ 1 (* y (+ (* -1 z) (* -1/2 y)))) |
(+ 1 (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))) |
(* -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)))))))) |
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 (* -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))))))) |
(* -1/2 (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))) |
(sin y) |
(* z (sin y)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(/ (cos y) x) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(+ 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))) |
(* -1 (/ (* z (sin y)) x)) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(* 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 (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
(* -1 (* z (+ (sin y) (* -1 (/ (cos y) z))))) |
(* -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) (* 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) (* -1 (* z (sin y)))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (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))) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 1 binary64) 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) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 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) (* 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 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (cos.f64 y) (neg.f64 x)) #s(literal 1 binary64))) |
(+ 1 (+ x (* -1 (* y z)))) |
(-.f64 (-.f64 x (*.f64 y z)) #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 y z)) #s(literal 1/2 binary64)) y (neg.f64 z)) 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 y z)) #s(literal 1/2 binary64)) y (neg.f64 z)) y (-.f64 x #s(literal -1 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ (* y z) x)) (/ 1 x)) |
(/.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) |
(+ (* y (+ (* -1 (/ z x)) (* -1/2 (/ y x)))) (/ 1 x)) |
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(literal 1 binary64)) x) |
(+ (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))))) (/ 1 x)) |
(fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) x) (/.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 z) (* -1/2 y)))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) #s(literal 1/2 binary64)) y (neg.f64 z)) y #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 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 y) z)) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))) y) |
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 (* -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 y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) y) y (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y z)) |
(* -1/2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(*.f64 (*.f64 (-.f64 (/.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)) |
(sin y) |
(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) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(+ 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) |
(* -1 (/ (* z (sin y)) x)) |
(*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) 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 (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
(*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) |
(* -1 (* z (+ (sin y) (* -1 (/ (cos y) z))))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) 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 | 29 | 158 |
| 0 | 45 | 158 |
| 1 | 173 | 158 |
| 2 | 1380 | 158 |
| 0 | 8316 | 158 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
#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)) |
(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 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x))) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x))) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x))) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x))) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x))) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x))) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) x)) (/.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) x)) (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x)) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x)) x) (*.f64 (neg.f64 (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x)) x) (*.f64 x (*.f64 (neg.f64 (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x)) x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 x) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x)) (*.f64 (neg.f64 x) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x)) (*.f64 x (*.f64 (neg.f64 x) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x))) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x))) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x))) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x))) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x))) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x))) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x))) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x))) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x))) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) x)) (*.f64 (-.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) x) (-.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) x))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x))) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x))) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x))) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64))) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x))) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 x x)) #s(literal 2 binary64))))) |
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(+.f64 (cos.f64 y) (-.f64 x #s(approx (* z (sin y)) (*.f64 y z)))) |
(/.f64 (-.f64 (*.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 x #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x 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 (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 (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 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (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 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) #s(literal 3 binary64))) (fma.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 x #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (-.f64 (*.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 (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 (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 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 y) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (cos.f64 y))))) |
(/.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 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.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 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) 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 (cos.f64 y) (cos.f64 y) (-.f64 (*.f64 x x) (*.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 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.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 (cos.f64 y) (cos.f64 y) (-.f64 (*.f64 x x) (*.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 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) |
(fma.f64 #s(literal 1 binary64) x (cos.f64 y)) |
(fma.f64 x #s(literal 1 binary64) (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 (*.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 3 binary64)) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (*.f64 x x) (*.f64 x (cos.f64 y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (*.f64 x x) (*.f64 x (cos.f64 y)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (*.f64 x x) (*.f64 x (cos.f64 y))))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (*.f64 x x) (*.f64 x (cos.f64 y)))))) |
(+.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 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (*.f64 (neg.f64 (cos.f64 y)) (cos.f64 y)) (-.f64 x (cos.f64 y)))) |
(+.f64 x (cos.f64 y)) |
(+.f64 (cos.f64 y) x) |
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (sin.f64 y) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64)))) (-.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (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 y z)) |
(*.f64 y z) |
(*.f64 z y) |
Compiled 20 006 to 1 956 computations (90.2% saved)
19 alts after pruning (17 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 456 | 12 | 468 |
| Fresh | 0 | 5 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 459 | 19 | 478 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.5% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 35.5% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| ▶ | 52.3% | #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))) |
| 65.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) x (*.f64 x (cos.f64 y))) (*.f64 x x)) x x)) | |
| ▶ | 29.1% | #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)))) |
| 63.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) | |
| 61.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) | |
| 70.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 (cos.f64 y) x)) x x)) | |
| 59.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 #s(literal 1 binary64) x)) x x)) | |
| ▶ | 57.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x x)) |
| ✓ | 59.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| 87.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) | |
| ✓ | 30.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| 20.5% | #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)))) | |
| 6.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) y) y))) | |
| 2.6% | #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)))) | |
| ▶ | 24.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| 9.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) | |
| 9.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) z))) |
Compiled 832 to 591 computations (29% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) | |
| cost-diff | 0 | (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x x) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x x)) | |
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 1/2 binary64)) y (neg.f64 z)) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | #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))) | |
| 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 #s(approx (+ 1 x) #s(literal 1 binary64))) | |
| cost-diff | 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)))) | |
| 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: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 270 |
| 0 | 62 | 270 |
| 1 | 109 | 267 |
| 2 | 197 | 267 |
| 3 | 390 | 267 |
| 4 | 652 | 267 |
| 5 | 1097 | 267 |
| 6 | 1739 | 267 |
| 7 | 2740 | 267 |
| 8 | 4442 | 267 |
| 9 | 7372 | 267 |
| 0 | 8177 | 267 |
| 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 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
z |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
#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))) |
(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)) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 1/2 binary64)) y (neg.f64 z)) |
(-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) z) y) |
(*.f64 #s(literal 1/6 binary64) z) |
#s(literal 1/6 binary64) |
z |
y |
#s(literal 1/2 binary64) |
(neg.f64 z) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x x)) |
(fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x x) |
#s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) |
(*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(neg.f64 z) |
z |
| 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 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
z |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
#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))) |
(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)) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 1/2 binary64)) y (neg.f64 z)) |
(-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) z) y) |
(*.f64 #s(literal 1/6 binary64) z) |
#s(literal 1/6 binary64) |
z |
y |
#s(literal 1/2 binary64) |
(neg.f64 z) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x x)) |
(fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x x) |
(fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x x) |
#s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) |
#s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) |
(*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(neg.f64 z) |
z |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.125 | (/.f64 (sin.f64 y) x) | |
| accuracy | 1.3307546374708474 | (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) | |
| accuracy | 5.971631534304171 | (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x x) | |
| accuracy | 39.562373375061306 | #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) | |
| accuracy | 0.02734375 | (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 1/2 binary64)) y (neg.f64 z)) | |
| accuracy | 0.15234375 | (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) | |
| accuracy | 0.296875 | (*.f64 #s(literal 1/6 binary64) z) | |
| accuracy | 30.515275986254565 | #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))) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 0.0078125 | (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) | |
| accuracy | 29.234208102184297 | #s(approx (+ 1 x) #s(literal 1 binary64)) | |
| accuracy | 30.436564958404404 | #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)))) | |
| accuracy | 26.040690628153556 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) | |
| accuracy | 29.234208102184297 | #s(approx (+ 1 x) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.015625 | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.14453125 | (*.f64 z (sin.f64 y)) | |
| accuracy | 29.293725577859995 | #s(approx (cos y) #s(literal 1 binary64)) |
| 100.0ms | 256× | 0 | valid |
Compiled 191 to 34 computations (82.2% saved)
ival-cos: 30.0ms (36.9% of total)ival-add: 17.0ms (20.9% of total)ival-mult: 16.0ms (19.7% of total)ival-sin: 5.0ms (6.2% of total)ival-div: 4.0ms (4.9% of total)ival-sub: 4.0ms (4.9% of total)const: 4.0ms (4.9% of total)ival-neg: 1.0ms (1.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (+.f64 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)) |
#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)))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(*.f64 #s(literal -1/2 binary64) y) |
#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))) |
(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)) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 1/2 binary64)) y (neg.f64 z)) |
(-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 1/2 binary64)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x x)) |
(fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x x) |
#s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) |
(*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) |
(sin.f64 y) |
(*.f64 #s(literal 1/6 binary64) z) |
(*.f64 (*.f64 #s(literal 1/6 binary64) z) y) |
(/.f64 (sin.f64 y) x) |
| Outputs |
|---|
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
1 |
(+ 1 x) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(* -1 (/ (* z (sin y)) x)) |
(/ (sin y) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(+ 1 (+ x (* -1 (* y 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 (* -1/2 (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 z) |
(- (* -1/2 y) z) |
(* -1/2 y) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(- (* y (- (* 1/6 (* y z)) 1/2)) z) |
-1/2 |
(- (* 1/6 (* y z)) 1/2) |
(/ 1 x) |
(+ (* -1 (/ (* y z) x)) (/ 1 x)) |
(+ (* y (+ (* -1 (/ z x)) (* -1/2 (/ y x)))) (/ 1 x)) |
(+ (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))))) (/ 1 x)) |
(* -1 (/ (* y z) x)) |
(* y (+ (* -1 (/ z x)) (* 1/6 (/ (* (pow y 2) z) x)))) |
(* y (+ (* -1 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ (* (pow y 2) z) x)) (* 1/6 (/ z x)))))) |
(* y (+ (* -1 (/ z x)) (* (pow y 2) (+ (* 1/6 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ z x)) (* 1/5040 (/ (* (pow y 2) z) x)))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* 1/6 (* y z)) |
(/ y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* 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)) |
(* 1/6 (* (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)))) |
(sin y) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* -1 (* y (+ 1/2 (/ z 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))))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ (* -1 z) (* -1/2 y)) |
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) |
(/ (cos y) x) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(* 1/6 z) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* 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 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x 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))))) |
(* -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 (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 61.0ms | y | @ | inf | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ 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))) (+ (* (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) y) (+ 1 x)) (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (- (* (* 1/6 z) y) 1/2) (- (+ x (cos y)) (* z (sin y))) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (+ (* (neg z) (sin y)) (cos y)) x) (* (/ (sin y) x) (neg z)) (sin y) (* 1/6 z) (* (* 1/6 z) y) (/ (sin y) x)) |
| 5.0ms | x | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ 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))) (+ (* (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) y) (+ 1 x)) (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (- (* (* 1/6 z) y) 1/2) (- (+ x (cos y)) (* z (sin y))) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (+ (* (neg z) (sin y)) (cos y)) x) (* (/ (sin y) x) (neg z)) (sin y) (* 1/6 z) (* (* 1/6 z) y) (/ (sin y) x)) |
| 3.0ms | y | @ | -inf | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ 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))) (+ (* (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) y) (+ 1 x)) (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (- (* (* 1/6 z) y) 1/2) (- (+ x (cos y)) (* z (sin y))) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (+ (* (neg z) (sin y)) (cos y)) x) (* (/ (sin y) x) (neg z)) (sin y) (* 1/6 z) (* (* 1/6 z) y) (/ (sin y) x)) |
| 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) (- (+ 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))) (+ (* (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) y) (+ 1 x)) (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (- (* (* 1/6 z) y) 1/2) (- (+ x (cos y)) (* z (sin y))) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (+ (* (neg z) (sin y)) (cos y)) x) (* (/ (sin y) x) (neg z)) (sin y) (* 1/6 z) (* (* 1/6 z) y) (/ (sin y) x)) |
| 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) (- (+ 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))) (+ (* (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) y) (+ 1 x)) (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (- (* (* 1/6 z) y) 1/2) (- (+ x (cos y)) (* z (sin y))) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (+ (* (neg z) (sin y)) (cos y)) x) (* (/ (sin y) x) (neg z)) (sin y) (* 1/6 z) (* (* 1/6 z) y) (/ (sin y) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 352 | 1334 |
| 1 | 1197 | 1276 |
| 2 | 4340 | 1242 |
| 0 | 8315 | 1167 |
| 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 (* y (- (* -1/2 y) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(* -1 (/ (* z (sin y)) x)) |
(/ (sin y) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(+ 1 (+ x (* -1 (* y 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 (* -1/2 (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 z) |
(- (* -1/2 y) z) |
(* -1/2 y) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(- (* y (- (* 1/6 (* y z)) 1/2)) z) |
-1/2 |
(- (* 1/6 (* y z)) 1/2) |
(/ 1 x) |
(+ (* -1 (/ (* y z) x)) (/ 1 x)) |
(+ (* y (+ (* -1 (/ z x)) (* -1/2 (/ y x)))) (/ 1 x)) |
(+ (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))))) (/ 1 x)) |
(* -1 (/ (* y z) x)) |
(* y (+ (* -1 (/ z x)) (* 1/6 (/ (* (pow y 2) z) x)))) |
(* y (+ (* -1 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ (* (pow y 2) z) x)) (* 1/6 (/ z x)))))) |
(* y (+ (* -1 (/ z x)) (* (pow y 2) (+ (* 1/6 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ z x)) (* 1/5040 (/ (* (pow y 2) z) x)))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* 1/6 (* y z)) |
(/ y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* 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)) |
(* 1/6 (* (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)))) |
(sin y) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* -1 (* y (+ 1/2 (/ z 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))))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ (* -1 z) (* -1/2 y)) |
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) |
(/ (cos y) x) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(* 1/6 z) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* 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 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x 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))))) |
(* -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 (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
| 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 (* 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))) |
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 z y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) y) z) y #s(literal 1 binary64)) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 z y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) y) z) y (-.f64 x #s(literal -1 binary64))) |
(+ (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) (* -1 (* z (sin y)))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(* -1 (/ (* z (sin y)) x)) |
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) |
(/ (sin y) x) |
(/.f64 (sin.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) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* 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 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 z y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) y) z) y #s(literal 1 binary64)) x) x x) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* -1 (* x (- (* -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 (* 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 (/ (+ 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 z y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) z) y #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(* -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 (* y z)))) |
(+.f64 (-.f64 x (*.f64 z y)) #s(literal 1 binary64)) |
(+ 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 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 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 z y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) y) z) y (-.f64 x #s(literal -1 binary64))) |
(- (* y (- (* 1/6 (* y z)) 1/2)) z) |
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 z y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) y) z) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (* y z)) 1/2) |
(-.f64 (*.f64 (*.f64 z y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ (* y z) x)) (/ 1 x)) |
(/.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x) |
(+ (* y (+ (* -1 (/ z x)) (* -1/2 (/ y x)))) (/ 1 x)) |
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(literal 1 binary64)) x) |
(+ (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))))) (/ 1 x)) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) x) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x)) |
(* -1 (/ (* y z) x)) |
(*.f64 (/.f64 (neg.f64 z) x) y) |
(* y (+ (* -1 (/ z x)) (* 1/6 (/ (* (pow y 2) z) x)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y)) z) x) |
(* y (+ (* -1 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ (* (pow y 2) z) x)) (* 1/6 (/ z x)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y) |
(* y (+ (* -1 (/ z x)) (* (pow y 2) (+ (* 1/6 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ z x)) (* 1/5040 (/ (* (pow y 2) z) x)))))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) x))) 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 z y) #s(literal 1/6 binary64)) |
(/ y x) |
(/.f64 y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) (/.f64 y x)) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal -1/5040 binary64) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (/.f64 y x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1/2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(*.f64 (*.f64 (-.f64 (/.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) |
(* 1/6 (* (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 (fma.f64 #s(literal 1/6 binary64) z (-.f64 (/.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) z) #s(literal 1/6 binary64)) |
(* (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) |
(sin y) |
(sin.f64 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 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 (* (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 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 x #s(literal -1 binary64)) y)) 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) |
(+ 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))) |
(+ (* -1 z) (* -1/2 y)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(+ 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) (* 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)) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(* 1/6 z) |
(*.f64 #s(literal 1/6 binary64) z) |
(* -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 (* y z)) |
(*.f64 (neg.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) |
(* 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 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) 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) |
(* -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 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 (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
(*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 238 |
| 0 | 62 | 238 |
| 1 | 252 | 235 |
| 2 | 1980 | 235 |
| 0 | 9179 | 235 |
| 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)) |
#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)))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(*.f64 #s(literal -1/2 binary64) y) |
#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))) |
(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)) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 1/2 binary64)) y (neg.f64 z)) |
(-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 1/2 binary64)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x x)) |
(fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x x) |
#s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) |
(*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) |
(sin.f64 y) |
(*.f64 #s(literal 1/6 binary64) z) |
(*.f64 (*.f64 #s(literal 1/6 binary64) z) y) |
(/.f64 (sin.f64 y) x) |
| Outputs |
|---|
(/.f64 (+.f64 (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)) x)))) |
(/.f64 (+.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 3 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (-.f64 x (*.f64 (sin.f64 y) z))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 x (*.f64 (sin.f64 y) z)))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64)) (-.f64 (*.f64 (+.f64 x (*.f64 (neg.f64 z) (sin.f64 y))) (+.f64 x (*.f64 (neg.f64 z) (sin.f64 y)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (+.f64 x (*.f64 (neg.f64 z) (sin.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))) |
(/.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 (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 (-.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 (neg.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 (neg.f64 (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 (*.f64 x x) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)))) (/.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 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 (neg.f64 (sin.f64 y)) (neg.f64 z))) |
(-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z)) |
(+.f64 (/.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #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 (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 (/.f64 (pow.f64 x #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 (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 2 binary64)) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) (/.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (sin.f64 y) z)) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(+.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 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 (+.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 (/.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))) #s(literal 3 binary64))) (fma.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 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 (*.f64 (/.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 (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 (/.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))))))) |
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(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x)) (pow.f64 (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x)) (pow.f64 (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x) x))) |
(+.f64 (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x) x) |
(+.f64 x (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x)) |
#s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) |
(*.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 (neg.f64 z) x)) |
(*.f64 (/.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) x)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 z) x) (/.f64 (sin.f64 y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) x) (/.f64 z #s(literal 1 binary64))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 y) x)) z) |
(*.f64 (/.f64 (sin.f64 y) x) (/.f64 (neg.f64 z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) (/.f64 (neg.f64 z) x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 z) (sin.f64 y)))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 z) (neg.f64 (sin.f64 y))) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z)) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (sin.f64 y))) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x) |
(neg.f64 (*.f64 (/.f64 (sin.f64 y) x) z)) |
(sin.f64 y) |
(*.f64 #s(literal 1/6 binary64) z) |
(*.f64 z #s(literal 1/6 binary64)) |
(*.f64 (*.f64 y #s(literal 1/6 binary64)) z) |
(*.f64 (*.f64 z y) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) z) y) |
(*.f64 #s(literal 1/6 binary64) (*.f64 z y)) |
(*.f64 z (*.f64 #s(literal 1/6 binary64) y)) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) |
(/.f64 (sin.f64 y) x) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) x)) |
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 x))) |
Compiled 20 882 to 1 758 computations (91.6% saved)
27 alts after pruning (20 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 396 | 9 | 405 |
| Fresh | 1 | 11 | 12 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 2 | 2 |
| Total | 397 | 27 | 424 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.5% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 51.9% | (-.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))) | |
| 35.5% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| ✓ | 52.3% | #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))) |
| 65.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) x (*.f64 x (cos.f64 y))) (*.f64 x x)) x x)) | |
| ✓ | 29.1% | #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)))) |
| 63.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) | |
| 61.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) | |
| 46.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) x) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x)) | |
| 70.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 (cos.f64 y) x)) x x)) | |
| ▶ | 59.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 #s(literal 1 binary64) x)) x x)) |
| ✓ | 57.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x x)) |
| 56.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (sin.f64 y) (/.f64 (neg.f64 z) x))) x x)) | |
| ▶ | 28.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) |
| 37.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (neg.f64 z) x) y))) x x)) | |
| 29.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64)))) | |
| ▶ | 52.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
| ✓ | 59.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| ▶ | 87.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
| ✓ | 30.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| 20.5% | #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)))) | |
| 6.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) y) y))) | |
| 2.6% | #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)))) | |
| ▶ | 9.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
| 9.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) y) (+ 1 x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) z) y))) | |
| ✓ | 24.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| 9.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
Compiled 1 325 to 895 computations (32.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) | |
| cost-diff | 1 | (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) | |
| cost-diff | 3 | (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) | |
| cost-diff | 0 | #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 #s(literal 1 binary64) x)) x x) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 #s(literal 1 binary64) x)) x x)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) z) | |
| cost-diff | 0 | #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) | |
| cost-diff | 0 | (/.f64 (+.f64 (cos.f64 y) x) z) | |
| cost-diff | 0 | (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) | |
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 525 |
| 0 | 98 | 525 |
| 1 | 186 | 513 |
| 2 | 434 | 507 |
| 3 | 1374 | 498 |
| 4 | 4062 | 498 |
| 0 | 8533 | 488 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
z |
(sin.f64 y) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (+ (* (- (* -1/2 y) 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))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 #s(literal 1 binary64) x)) x x)) |
(fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 #s(literal 1 binary64) x)) x x) |
#s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.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 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) 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 |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) |
(fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x) |
#s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) |
#s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y)) |
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y) |
(fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) |
(/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) |
(*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
(neg.f64 z) |
z |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
x |
(/.f64 (neg.f64 z) x) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
z |
(sin.f64 y) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (+ (* (- (* -1/2 y) 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))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 #s(literal 1 binary64) x)) x x)) |
(fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 #s(literal 1 binary64) x)) x x) |
#s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.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 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) 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 |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (*.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) y) y #s(literal 1/6 binary64)) y) y #s(literal -1 binary64))) (/.f64 y x)))) x x)) |
(fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x) |
(fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (*.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) y) y #s(literal 1/6 binary64)) y) y #s(literal -1 binary64))) (/.f64 y x)))) x x) |
#s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) |
#s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (*.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) y) y #s(literal 1/6 binary64)) y) y #s(literal -1 binary64))) (/.f64 y x)))) |
#s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y)) |
#s(approx (* (/ (sin y) x) (neg z)) (*.f64 (*.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) y) y #s(literal 1/6 binary64)) y) y #s(literal -1 binary64))) (/.f64 y x))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y) |
(*.f64 (*.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) y) y #s(literal 1/6 binary64)) y) y #s(literal -1 binary64))) (/.f64 y x)) |
(fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) |
(/.f64 (*.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) y) y #s(literal 1/6 binary64)) y) y #s(literal -1 binary64))) x) |
(/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) y) y #s(literal 1/6 binary64)) x) z) |
(*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) y) y #s(literal 1/6 binary64)) z) |
(neg.f64 z) |
z |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
x |
(/.f64 (neg.f64 z) x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.2213826149283338 | (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) | |
| accuracy | 5.971631534304171 | (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x) | |
| accuracy | 30.079737490584364 | #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y)) | |
| accuracy | 39.562373375061306 | #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) | |
| accuracy | 0.359375 | (*.f64 #s(literal 1/6 binary64) y) | |
| accuracy | 3.3017126132841073 | (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) | |
| accuracy | 18.633119157344122 | #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) | |
| accuracy | 30.515275986254565 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 #s(literal 1 binary64) x)) x x)) | |
| accuracy | 5.971631534304171 | (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 #s(literal 1 binary64) x)) x x) | |
| accuracy | 36.48795678644396 | #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.0 | (*.f64 (neg.f64 y) z) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 30.436564958404404 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) | |
| accuracy | 47.97965129349808 | #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)) | |
| accuracy | 0.0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) | |
| accuracy | 0.015625 | (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) | |
| accuracy | 0.09375 | (/.f64 (+.f64 (cos.f64 y) x) z) | |
| accuracy | 8.088567928236197 | (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
| 175.0ms | 256× | 0 | valid |
Compiled 308 to 57 computations (81.5% saved)
ival-div: 34.0ms (22.9% of total)ival-mult: 31.0ms (20.9% of total)ival-sin: 24.0ms (16.2% of total)ival-cos: 22.0ms (14.8% of total)const: 18.0ms (12.1% of total)ival-add: 12.0ms (8.1% of total)ival-sub: 4.0ms (2.7% of total)ival-neg: 2.0ms (1.3% of total)exact: 1.0ms (0.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 #s(literal 1 binary64) x)) x x)) |
(fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 #s(literal 1 binary64) x)) x x) |
#s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) |
(fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) |
(*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) |
(fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) |
#s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y)) |
| Outputs |
|---|
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(- (/ (cos y) z) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(/ (cos y) z) |
(+ (/ x z) (/ (cos y) z)) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ 1 x) |
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(/ (+ (* -1 z) (* -1 (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6))))) x) |
(* -1 (/ (* z (sin y)) x)) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(/ x z) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(* -1 (/ (+ z (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6)))) x)) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(* z (+ (/ 1 z) (/ x z))) |
(+ (* -1 (* y z)) (* z (+ (/ 1 z) (/ x z)))) |
(+ (* y (+ (* -1 z) (* -1/2 y))) (* z (+ (/ 1 z) (/ x z)))) |
(+ (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))) (* z (+ (/ 1 z) (/ x z)))) |
(+ (/ 1 z) (/ x z)) |
(+ (* -1 y) (+ (/ 1 z) (/ x z))) |
(+ (* y (- (* -1/2 (/ y z)) 1)) (+ (/ 1 z) (/ x z))) |
(+ (* y (- (* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) 1)) (+ (/ 1 z) (/ x z))) |
(/ (+ 1 x) z) |
(+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z))) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(* -1 (* y z)) |
(* -1 y) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(+ (* -1 (/ (* y z) x)) (/ 1 x)) |
(+ (* y (+ (* -1 (/ z x)) (* -1/2 (/ y x)))) (/ 1 x)) |
(+ (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))))) (/ 1 x)) |
(* -1 z) |
(- (* -1/2 y) z) |
(- (* y (- (* 1/6 (* y z)) 1/2)) z) |
(+ (* -1 z) (* 1/6 (* (pow y 2) z))) |
(* -1 (/ z x)) |
(+ (* -1 (/ z x)) (* 1/6 (/ (* (pow y 2) z) x))) |
(+ (* -1 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ (* (pow y 2) z) x)) (* 1/6 (/ z x))))) |
(* 1/6 z) |
(+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)) |
(* 1/6 y) |
(* -1 (/ (* y z) x)) |
(* y (+ (* -1 (/ z x)) (* 1/6 (/ (* (pow y 2) z) x)))) |
(* y (+ (* -1 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ (* (pow y 2) z) x)) (* 1/6 (/ z x)))))) |
(* y (+ (* -1 (/ z x)) (* (pow y 2) (+ (* 1/6 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ z x)) (* 1/5040 (/ (* (pow y 2) z) x)))))))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(/ (+ x (cos y)) 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)) |
(* 1/6 (* (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)))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* -1/120 (/ (* (pow y 4) z) x)) |
(* (pow y 4) (+ (* -1/120 (/ z x)) (* 1/6 (/ z (* x (pow y 2)))))) |
(* (pow y 4) (+ (* -1 (/ z (* x (pow y 4)))) (+ (* -1/120 (/ z x)) (* 1/6 (/ z (* x (pow y 2))))))) |
(* -1/120 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* -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))) |
(+ x (cos y)) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(/ (cos y) x) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(+ 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))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* -1 (/ (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) x)) (/ 1 x))) |
(* -1 (* z (- (* 1/120 (pow y 2)) 1/6))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* -1 (sin y)) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* 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 (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
(* -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 x) (/ (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) x)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | x | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (* (- (/ (+ (cos y) x) z) (sin y)) z) (- (/ (+ (cos y) x) z) (sin y)) (/ (+ (cos y) x) z) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (neg y) z) (neg y) (- (+ x (cos y)) (* z (sin y))) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (+ (* (neg z) (sin y)) (cos y)) x) (/ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) y) (+ 1 x)) (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (* (+ (* (* 1/6 y) y) -1) z) (+ (* (/ (* (neg z) (+ (* 1/120 (* y y)) -1/6)) x) (* y y)) (/ (neg z) x)) (* (neg z) (+ (* 1/120 (* y y)) -1/6)) (- (+ x (cos y)) (* z (sin y))) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (* 1/6 y) (/ (+ (* (neg z) (sin y)) (cos y)) x) (* (/ (sin y) x) (neg z))) |
| 23.0ms | y | @ | -inf | ((- (+ x (cos y)) (* z (sin y))) (* (- (/ (+ (cos y) x) z) (sin y)) z) (- (/ (+ (cos y) x) z) (sin y)) (/ (+ (cos y) x) z) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (neg y) z) (neg y) (- (+ x (cos y)) (* z (sin y))) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (+ (* (neg z) (sin y)) (cos y)) x) (/ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) y) (+ 1 x)) (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (* (+ (* (* 1/6 y) y) -1) z) (+ (* (/ (* (neg z) (+ (* 1/120 (* y y)) -1/6)) x) (* y y)) (/ (neg z) x)) (* (neg z) (+ (* 1/120 (* y y)) -1/6)) (- (+ x (cos y)) (* z (sin y))) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (* 1/6 y) (/ (+ (* (neg z) (sin y)) (cos y)) x) (* (/ (sin y) x) (neg z))) |
| 8.0ms | y | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (* (- (/ (+ (cos y) x) z) (sin y)) z) (- (/ (+ (cos y) x) z) (sin y)) (/ (+ (cos y) x) z) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (neg y) z) (neg y) (- (+ x (cos y)) (* z (sin y))) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (+ (* (neg z) (sin y)) (cos y)) x) (/ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) y) (+ 1 x)) (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (* (+ (* (* 1/6 y) y) -1) z) (+ (* (/ (* (neg z) (+ (* 1/120 (* y y)) -1/6)) x) (* y y)) (/ (neg z) x)) (* (neg z) (+ (* 1/120 (* y y)) -1/6)) (- (+ x (cos y)) (* z (sin y))) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (* 1/6 y) (/ (+ (* (neg z) (sin y)) (cos y)) x) (* (/ (sin y) x) (neg z))) |
| 6.0ms | z | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (* (- (/ (+ (cos y) x) z) (sin y)) z) (- (/ (+ (cos y) x) z) (sin y)) (/ (+ (cos y) x) z) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (neg y) z) (neg y) (- (+ x (cos y)) (* z (sin y))) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (+ (* (neg z) (sin y)) (cos y)) x) (/ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) y) (+ 1 x)) (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (* (+ (* (* 1/6 y) y) -1) z) (+ (* (/ (* (neg z) (+ (* 1/120 (* y y)) -1/6)) x) (* y y)) (/ (neg z) x)) (* (neg z) (+ (* 1/120 (* y y)) -1/6)) (- (+ x (cos y)) (* z (sin y))) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (* 1/6 y) (/ (+ (* (neg z) (sin y)) (cos y)) x) (* (/ (sin y) x) (neg z))) |
| 5.0ms | z | @ | inf | ((- (+ x (cos y)) (* z (sin y))) (* (- (/ (+ (cos y) x) z) (sin y)) z) (- (/ (+ (cos y) x) z) (sin y)) (/ (+ (cos y) x) z) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (neg y) z) (neg y) (- (+ x (cos y)) (* z (sin y))) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (+ (* (neg z) (sin y)) (cos y)) x) (/ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) y) (+ 1 x)) (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (* (+ (* (* 1/6 y) y) -1) z) (+ (* (/ (* (neg z) (+ (* 1/120 (* y y)) -1/6)) x) (* y y)) (/ (neg z) x)) (* (neg z) (+ (* 1/120 (* y y)) -1/6)) (- (+ x (cos y)) (* z (sin y))) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (* 1/6 y) (/ (+ (* (neg z) (sin y)) (cos y)) x) (* (/ (sin y) x) (neg z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 356 | 1541 |
| 1 | 1178 | 1471 |
| 2 | 4279 | 1439 |
| 0 | 8416 | 1363 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(- (/ (cos y) z) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(/ (cos y) z) |
(+ (/ x z) (/ (cos y) z)) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ 1 x) |
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(/ (+ (* -1 z) (* -1 (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6))))) x) |
(* -1 (/ (* z (sin y)) x)) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(/ x z) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(* -1 (/ (+ z (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6)))) x)) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(* z (+ (/ 1 z) (/ x z))) |
(+ (* -1 (* y z)) (* z (+ (/ 1 z) (/ x z)))) |
(+ (* y (+ (* -1 z) (* -1/2 y))) (* z (+ (/ 1 z) (/ x z)))) |
(+ (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))) (* z (+ (/ 1 z) (/ x z)))) |
(+ (/ 1 z) (/ x z)) |
(+ (* -1 y) (+ (/ 1 z) (/ x z))) |
(+ (* y (- (* -1/2 (/ y z)) 1)) (+ (/ 1 z) (/ x z))) |
(+ (* y (- (* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) 1)) (+ (/ 1 z) (/ x z))) |
(/ (+ 1 x) z) |
(+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z))) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(* -1 (* y z)) |
(* -1 y) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(+ (* -1 (/ (* y z) x)) (/ 1 x)) |
(+ (* y (+ (* -1 (/ z x)) (* -1/2 (/ y x)))) (/ 1 x)) |
(+ (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))))) (/ 1 x)) |
(* -1 z) |
(- (* -1/2 y) z) |
(- (* y (- (* 1/6 (* y z)) 1/2)) z) |
(+ (* -1 z) (* 1/6 (* (pow y 2) z))) |
(* -1 (/ z x)) |
(+ (* -1 (/ z x)) (* 1/6 (/ (* (pow y 2) z) x))) |
(+ (* -1 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ (* (pow y 2) z) x)) (* 1/6 (/ z x))))) |
(* 1/6 z) |
(+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)) |
(* 1/6 y) |
(* -1 (/ (* y z) x)) |
(* y (+ (* -1 (/ z x)) (* 1/6 (/ (* (pow y 2) z) x)))) |
(* y (+ (* -1 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ (* (pow y 2) z) x)) (* 1/6 (/ z x)))))) |
(* y (+ (* -1 (/ z x)) (* (pow y 2) (+ (* 1/6 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ z x)) (* 1/5040 (/ (* (pow y 2) z) x)))))))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(/ (+ x (cos y)) 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)) |
(* 1/6 (* (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)))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* -1/120 (/ (* (pow y 4) z) x)) |
(* (pow y 4) (+ (* -1/120 (/ z x)) (* 1/6 (/ z (* x (pow y 2)))))) |
(* (pow y 4) (+ (* -1 (/ z (* x (pow y 4)))) (+ (* -1/120 (/ z x)) (* 1/6 (/ z (* x (pow y 2))))))) |
(* -1/120 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* -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))) |
(+ x (cos y)) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(/ (cos y) x) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(+ 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))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* -1 (/ (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) x)) (/ 1 x))) |
(* -1 (* z (- (* 1/120 (pow y 2)) 1/6))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* -1 (sin y)) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* 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 (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
(* -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 x) (/ (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) x)))) |
| 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)) |
(* z (- (/ (cos y) z) (sin y))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(- (/ (cos y) z) (sin y)) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(+ (/ x z) (/ (cos y) z)) |
(/.f64 (+.f64 (cos.f64 y) x) 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 #s(literal 1 binary64) x)) |
(+ (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) (* -1 (* z (sin y)))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 z y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) y) z) y #s(literal 1 binary64)) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 z y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(/ (+ (* -1 z) (* -1 (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6))))) x) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) z) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) z) (neg.f64 x)) |
(* -1 (/ (* z (sin y)) x)) |
(*.f64 (neg.f64 z) (/.f64 (sin.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 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
(/ x z) |
(/.f64 x z) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(fma.f64 x (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (/.f64 x z)) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(/.f64 (fma.f64 (/.f64 (cos.f64 y) x) x x) z) |
(* 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 (+ (* -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 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 z y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) y) z) y #s(literal 1 binary64)) 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 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 (neg.f64 z) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) z))) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (cos.f64 y) x) (neg.f64 z)) (/.f64 #s(literal 1 binary64) z))) |
(* -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 (/ (+ (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 (/ (+ 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 z y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) z) y #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(* -1 (/ (+ z (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6)))) x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) z) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) z) (neg.f64 x)) |
(+ 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)) |
(* z (+ (/ 1 z) (/ x z))) |
(fma.f64 (/.f64 x z) z #s(literal 1 binary64)) |
(+ (* -1 (* y z)) (* z (+ (/ 1 z) (/ x z)))) |
(*.f64 z (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y)) |
(+ (* y (+ (* -1 z) (* -1/2 y))) (* z (+ (/ 1 z) (/ x z)))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (fma.f64 (/.f64 x z) z #s(literal 1 binary64))) |
(+ (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))) (* z (+ (/ 1 z) (/ x z)))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 z y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) y) z) y (fma.f64 (/.f64 x z) z #s(literal 1 binary64))) |
(+ (/ 1 z) (/ x z)) |
(/.f64 (+.f64 #s(literal 1 binary64) x) z) |
(+ (* -1 y) (+ (/ 1 z) (/ x z))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y) |
(+ (* y (- (* -1/2 (/ y z)) 1)) (+ (/ 1 z) (/ x z))) |
(fma.f64 (-.f64 (*.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1 binary64)) y (/.f64 (+.f64 #s(literal 1 binary64) x) z)) |
(+ (* y (- (* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) 1)) (+ (/ 1 z) (/ x z))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y) #s(literal 1 binary64)) y (/.f64 (+.f64 #s(literal 1 binary64) x) z)) |
(/ (+ 1 x) z) |
(/.f64 (+.f64 #s(literal 1 binary64) x) z) |
(+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))) |
(/.f64 (+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) z) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) z) (*.f64 y y) (/.f64 (+.f64 #s(literal 1 binary64) x) z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) z) (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) (/.f64 (+.f64 #s(literal 1 binary64) x) z)) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(fma.f64 (-.f64 (*.f64 #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) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 z y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(+ (* -1 (/ (* y z) x)) (/ 1 x)) |
(/.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x) |
(+ (* y (+ (* -1 (/ z x)) (* -1/2 (/ y x)))) (/ 1 x)) |
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(literal 1 binary64)) x) |
(+ (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))))) (/ 1 x)) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) x) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x)) |
(* -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) |
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 z y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) y) z) |
(+ (* -1 z) (* 1/6 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) |
(* -1 (/ z x)) |
(/.f64 (neg.f64 z) x) |
(+ (* -1 (/ z x)) (* 1/6 (/ (* (pow y 2) z) x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) x) |
(+ (* -1 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ (* (pow y 2) z) x)) (* 1/6 (/ z x))))) |
(fma.f64 (/.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) |
(* 1/6 z) |
(*.f64 #s(literal 1/6 binary64) z) |
(+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)) |
(*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* -1 (/ (* y z) x)) |
(*.f64 (/.f64 (neg.f64 z) x) y) |
(* y (+ (* -1 (/ z x)) (* 1/6 (/ (* (pow y 2) z) x)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y)) z) x) |
(* y (+ (* -1 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ (* (pow y 2) z) x)) (* 1/6 (/ z x)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y) |
(* y (+ (* -1 (/ z x)) (* (pow y 2) (+ (* 1/6 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ z x)) (* 1/5040 (/ (* (pow y 2) z) x)))))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/120 binary64) z)) x))) y) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
(* -1/2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(*.f64 (*.f64 (-.f64 (/.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)) |
(* 1/6 (* (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 (fma.f64 #s(literal 1/6 binary64) z (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (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 #s(literal 1/6 binary64) y) y) 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)) |
(* (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) |
(* -1/120 (/ (* (pow y 4) z) x)) |
(*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) z) x) #s(literal -1/120 binary64)) |
(* (pow y 4) (+ (* -1/120 (/ z x)) (* 1/6 (/ z (* x (pow y 2)))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 z y) y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) z)) x) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (+ (* -1 (/ z (* x (pow y 4)))) (+ (* -1/120 (/ z x)) (* 1/6 (/ z (* x (pow y 2))))))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (/.f64 z x) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 z y) (/.f64 (neg.f64 z) (pow.f64 y #s(literal 4 binary64)))) x)) (pow.f64 y #s(literal 4 binary64))) |
(* -1/120 (* (pow y 2) z)) |
(*.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 y y) z)) |
(* (pow y 2) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 z y) y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) z)) 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 (* (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 (fma.f64 #s(literal -1 binary64) z (/.f64 (+.f64 #s(literal 1 binary64) x) y)) 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)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) z) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (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 #s(literal 1/6 binary64) y) y) #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 #s(literal 1/6 binary64) y) y) #s(literal 1 binary64)) z (*.f64 #s(literal -1/2 binary64) y)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) #s(literal 1 binary64)) z) |
(* z (- (* -1 (/ (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) x)) (/ 1 x))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) x)) z) |
(* -1 (* z (- (* 1/120 (pow y 2)) 1/6))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) z) y) z) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x)) |
(* 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 (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) #s(literal 1 binary64)) y (/.f64 (+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) z)) z) |
(* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1)) |
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y) #s(literal 1 binary64)) 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 (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(*.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 (+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) z) y) z) |
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x)) |
(* -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 (-.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) y) (/.f64 (+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) z)) (neg.f64 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 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) z) |
(* -1 (* z (+ (/ 1 x) (/ (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) x)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) z) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) z) (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 443 |
| 0 | 98 | 443 |
| 1 | 386 | 432 |
| 2 | 2993 | 432 |
| 0 | 8437 | 422 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 #s(literal 1 binary64) x)) x x)) |
(fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 #s(literal 1 binary64) x)) x x) |
#s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) |
(fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) |
(*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) |
(fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) |
#s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
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(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x) #s(literal 2 binary64)) (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) (*.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x)) (pow.f64 (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x) #s(literal 2 binary64)))) |
(fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x)) |
(fma.f64 x #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x) x))) |
(-.f64 x (*.f64 (neg.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y)))) x)) |
(-.f64 x (*.f64 (neg.f64 x) #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x)) (pow.f64 (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x)) (pow.f64 (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x) x) |
(+.f64 x (*.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x)) |
(*.f64 #s(literal 1/6 binary64) y) |
(*.f64 y #s(literal 1/6 binary64)) |
#s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) |
#s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y)) |
Compiled 16 194 to 1 790 computations (88.9% saved)
34 alts after pruning (24 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 308 | 12 | 320 |
| Fresh | 3 | 12 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 7 | 7 |
| Total | 313 | 34 | 347 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.5% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 51.9% | (-.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))) | |
| ✓ | 52.3% | #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))) |
| 65.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) x (*.f64 x (cos.f64 y))) (*.f64 x x)) x x)) | |
| ✓ | 29.1% | #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)))) |
| 63.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) | |
| 61.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) | |
| ✓ | 59.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 #s(literal 1 binary64) x)) x x)) |
| ✓ | 57.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x x)) |
| 56.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (sin.f64 y) (/.f64 (neg.f64 z) x))) x x)) | |
| 29.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 #s(approx (* (neg z) (+ (* 1/120 (* y y)) -1/6)) (*.f64 #s(literal 1/6 binary64) z)) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) | |
| 28.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (neg.f64 z)) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) | |
| 28.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (neg.f64 z)) (neg.f64 y)) (neg.f64 y) (/.f64 (neg.f64 z) x)) y))) x x)) | |
| 28.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x x)) | |
| 37.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (neg.f64 z) x) y))) x x)) | |
| 29.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64)))) | |
| ✓ | 52.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
| 45.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x))) | |
| 33.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) #s(approx (* (+ (* (* 1/6 y) y) -1) z) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (/.f64 (neg.f64 z) y) y)) y) y))) y (+.f64 #s(literal 1 binary64) x))) | |
| 44.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) | |
| 57.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) | |
| 71.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) | |
| ✓ | 59.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| 63.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 #s(approx (/ (+ (cos y) x) z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) z)) | |
| ✓ | 30.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| 46.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (+.f64 #s(literal 1 binary64) x) z)) z)) | |
| 25.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z)) | |
| 20.5% | #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)))) | |
| 6.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) y) y))) | |
| 2.6% | #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)))) | |
| ✓ | 9.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
| 9.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) y) (+ 1 x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) z) y))) | |
| ✓ | 24.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| 9.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
Compiled 2 325 to 940 computations (59.6% 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 (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #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 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 #s(literal -1/2 binary64) y)) 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))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 #s(literal 1 binary64) x)) x 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(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (+.f64 #s(literal 1 binary64) x) z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) y) (+ 1 x)) (*.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))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (neg.f64 z) x) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) 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)) (*.f64 (*.f64 (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) y) y))) |
#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))) |
(-.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))) (fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) #s(approx (* (+ (* (* 1/6 y) y) -1) z) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (/.f64 (neg.f64 z) y) y)) y) y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 #s(approx (* (neg z) (+ (* 1/120 (* y y)) -1/6)) (*.f64 #s(literal 1/6 binary64) z)) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (neg.f64 z)) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) x) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (neg.f64 z)) (neg.f64 y)) (neg.f64 y) (/.f64 (neg.f64 z) x)) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 #s(approx (+ x (cos y)) (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 (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 (cos.f64 y) x)) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (sin.f64 y) (/.f64 (neg.f64 z) x))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 #s(approx (/ (+ (cos y) x) z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) x (*.f64 x (cos.f64 y))) (*.f64 x x)) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 44.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 30.0ms | y |
| 11.0ms | z |
| 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 (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #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 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 #s(literal -1/2 binary64) y)) 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))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 #s(literal 1 binary64) x)) x 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(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (+.f64 #s(literal 1 binary64) x) z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) y) (+ 1 x)) (*.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))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (neg.f64 z) x) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) 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)) (*.f64 (*.f64 (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) y) y))) |
#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))) |
(-.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))) (fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) #s(approx (* (+ (* (* 1/6 y) y) -1) z) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (/.f64 (neg.f64 z) y) y)) y) y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 #s(approx (* (neg z) (+ (* 1/120 (* y y)) -1/6)) (*.f64 #s(literal 1/6 binary64) z)) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (neg.f64 z)) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) x) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (neg.f64 z)) (neg.f64 y)) (neg.f64 y) (/.f64 (neg.f64 z) x)) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 #s(approx (+ x (cos y)) (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 (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 (cos.f64 y) x)) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (sin.f64 y) (/.f64 (neg.f64 z) x))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
4 calls:
| 31.0ms | z |
| 22.0ms | x |
| 12.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 99.9% | 3 | x |
| 89.8% | 2 | y |
| 99.4% | 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 (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #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 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 #s(literal -1/2 binary64) y)) 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))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 #s(literal 1 binary64) x)) x 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(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (+.f64 #s(literal 1 binary64) x) z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) y) (+ 1 x)) (*.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))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (neg.f64 z) x) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) 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)) (*.f64 (*.f64 (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) y) y))) |
#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))) |
(-.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))) (fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) #s(approx (* (+ (* (* 1/6 y) y) -1) z) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (/.f64 (neg.f64 z) y) y)) y) y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 #s(approx (* (neg z) (+ (* 1/120 (* y y)) -1/6)) (*.f64 #s(literal 1/6 binary64) z)) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (neg.f64 z)) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) x) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (neg.f64 z)) (neg.f64 y)) (neg.f64 y) (/.f64 (neg.f64 z) x)) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 #s(approx (+ x (cos y)) (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 (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 (cos.f64 y) x)) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (sin.f64 y) (/.f64 (neg.f64 z) x))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x x)) |
| Outputs |
|---|
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
3 calls:
| 28.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 10.0ms | x |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | z |
| 99.4% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 87.5% | 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 (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #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 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 #s(literal -1/2 binary64) y)) 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))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 #s(literal 1 binary64) x)) x 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(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (+.f64 #s(literal 1 binary64) x) z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) y) (+ 1 x)) (*.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))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (neg.f64 z) x) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) 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)) (*.f64 (*.f64 (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) y) y))) |
#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))) |
(-.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))) (fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) #s(approx (* (+ (* (* 1/6 y) y) -1) z) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (/.f64 (neg.f64 z) y) y)) y) y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 #s(approx (* (neg z) (+ (* 1/120 (* y y)) -1/6)) (*.f64 #s(literal 1/6 binary64) z)) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (neg.f64 z)) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) x) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (neg.f64 z)) (neg.f64 y)) (neg.f64 y) (/.f64 (neg.f64 z) x)) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
4 calls:
| 21.0ms | z |
| 19.0ms | y |
| 12.0ms | x |
| 8.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.0% | 1 | x |
| 79.5% | 3 | y |
| 73.2% | 2 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 85.3% | 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 (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #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 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 #s(literal -1/2 binary64) y)) 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))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 #s(literal 1 binary64) x)) x 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(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (+.f64 #s(literal 1 binary64) x) z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) y) (+ 1 x)) (*.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))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (neg.f64 z) x) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) 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)) (*.f64 (*.f64 (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) y) y))) |
#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))) |
(-.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))) (fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) #s(approx (* (+ (* (* 1/6 y) y) -1) z) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (/.f64 (neg.f64 z) y) y)) y) y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 #s(approx (* (neg z) (+ (* 1/120 (* y y)) -1/6)) (*.f64 #s(literal 1/6 binary64) z)) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (neg.f64 z)) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) x) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (neg.f64 z)) (neg.f64 y)) (neg.f64 y) (/.f64 (neg.f64 z) x)) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
2 calls:
| 23.0ms | y |
| 8.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.2% | 3 | y |
| 77.0% | 3 | z |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #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 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 #s(literal -1/2 binary64) y)) 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))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (/.f64 #s(literal 1 binary64) x)) x 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(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (+.f64 #s(literal 1 binary64) x) z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) y) (+ 1 x)) (*.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))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (neg.f64 z) x) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) 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)) (*.f64 (*.f64 (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) y) y))) |
#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))) |
(-.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))) (fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) #s(approx (* (+ (* (* 1/6 y) y) -1) z) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (/.f64 (neg.f64 z) y) y)) y) y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 #s(approx (* (neg z) (+ (* 1/120 (* y y)) -1/6)) (*.f64 #s(literal 1/6 binary64) z)) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 z)) (*.f64 y y) (neg.f64 z)) x) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (neg.f64 z)) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) x) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) #s(approx (* (/ (sin y) x) (neg z)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (neg.f64 z)) (neg.f64 y)) (neg.f64 y) (/.f64 (neg.f64 z) x)) y))) x x)) |
| Outputs |
|---|
#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)) |
4 calls:
| 50.0ms | y |
| 24.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 23.0ms | x |
| 8.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.0% | 2 | x |
| 61.3% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 65.3% | 3 | z |
| 65.0% | 2 | 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 (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #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))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#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 | x |
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.3% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 63.1% | 3 | x |
| 61.2% | 2 | z |
| 59.3% | 1 | 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 (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
3 calls:
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.3% | 1 | y |
| 59.3% | 1 | z |
| 59.3% | 1 | x |
Compiled 3 to 9 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 | x |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 24.0% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 24.0% | 1 | z |
| 24.0% | 1 | x |
| 24.0% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 1.3310277092874293e-27 | 8.158940294306716e-27 |
| 34.0ms | -4.905428723984115e-5 | -7.223101675806415e-9 |
| 37.0ms | 224× | 0 | valid |
Compiled 404 to 364 computations (9.9% saved)
ival-cos: 6.0ms (41.1% of total)ival-sin: 5.0ms (34.3% of total)ival-mult: 2.0ms (13.7% of total)ival-sub: 1.0ms (6.9% of total)ival-add: 1.0ms (6.9% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9935279849380513 | 0.9999509457127601 |
| 0.0ms | -1724.1657475035177 | -0.9992092902596141 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 4.3315221311625264e+176 | 8.175960780052836e+179 |
| 29.0ms | -3.8472406522692705e+118 | -2.631107820837545e+117 |
| 37.0ms | 224× | 0 | valid |
Compiled 418 to 364 computations (12.9% saved)
ival-cos: 22.0ms (72.2% of total)ival-sin: 5.0ms (16.4% of total)ival-mult: 2.0ms (6.6% of total)ival-sub: 1.0ms (3.3% of total)ival-add: 1.0ms (3.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 4.1270250065730807e-17 | 2.6225062387773074e-15 |
| 18.0ms | -15066483246643.863 | -179139884906.26917 |
| 40.0ms | 224× | 0 | valid |
Compiled 712 to 560 computations (21.3% saved)
ival-cos: 5.0ms (35.5% of total)ival-sin: 5.0ms (35.5% of total)ival-mult: 2.0ms (14.2% of total)ival-sub: 1.0ms (7.1% of total)ival-add: 1.0ms (7.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 47.0ms | 3652996.3235920146 | 4908118350275458.0 |
| 16.0ms | 144× | 0 | valid |
Compiled 282 to 248 computations (12.1% saved)
ival-cos: 5.0ms (41.2% of total)ival-sin: 5.0ms (41.2% of total)ival-sub: 1.0ms (8.2% of total)ival-add: 1.0ms (8.2% of total)ival-mult: 1.0ms (8.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 53.0ms | 6.656640826067238e-89 | 1.3185479847119067e-86 |
| 17.0ms | -1.1314256531416378e-61 | -3.637093784916998e-65 |
| 22.0ms | 240× | 0 | valid |
Compiled 582 to 494 computations (15.1% saved)
ival-cos: 6.0ms (38.6% of total)ival-sin: 5.0ms (32.2% of total)ival-mult: 2.0ms (12.9% of total)ival-sub: 1.0ms (6.4% of total)ival-add: 1.0ms (6.4% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 302 |
| 1 | 131 | 302 |
| 2 | 171 | 302 |
| 3 | 219 | 302 |
| 4 | 287 | 302 |
| 5 | 419 | 302 |
| 6 | 668 | 302 |
| 7 | 1317 | 302 |
| 8 | 3123 | 302 |
| 9 | 6068 | 302 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 x #s(literal -944473296573929/1180591620717411303424 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 x #s(literal 348449143727041/43556142965880123323311949751266331066368 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -9000000000000000035046710375617014848533705670643727363375802541003307082045812221707124547665382714357224030703976448 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 18999999999999999916584939812252258796870978448780830631348352369844325541850728414418798617529840593808812144258365421894737711147340934318307512806493553454408480006590152310784 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(if (<=.f64 y #s(literal -180000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 6591783121186793/2535301200456458802993406410752 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)))) |
(if (<=.f64 y #s(literal 6600000 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 -7642277889662869/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 5039425669900059/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) 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))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 x #s(literal -944473296573929/1180591620717411303424 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 x #s(literal 348449143727041/43556142965880123323311949751266331066368 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (or (<=.f64 x #s(literal -944473296573929/1180591620717411303424 binary64)) (not (<=.f64 x #s(literal 348449143727041/43556142965880123323311949751266331066368 binary64)))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (or (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000 binary64)) (not (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 8962163258467287/9007199254740992 binary64)))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))) |
(if (<=.f64 z #s(literal -9000000000000000035046710375617014848533705670643727363375802541003307082045812221707124547665382714357224030703976448 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 18999999999999999916584939812252258796870978448780830631348352369844325541850728414418798617529840593808812144258365421894737711147340934318307512806493553454408480006590152310784 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(if (or (<=.f64 z #s(literal -9000000000000000035046710375617014848533705670643727363375802541003307082045812221707124547665382714357224030703976448 binary64)) (not (<=.f64 z #s(literal 18999999999999999916584939812252258796870978448780830631348352369844325541850728414418798617529840593808812144258365421894737711147340934318307512806493553454408480006590152310784 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))) |
(if (<=.f64 y #s(literal -180000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 6591783121186793/2535301200456458802993406410752 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)))) |
(if (or (<=.f64 y #s(literal -180000000000 binary64)) (not (<=.f64 y #s(literal 6591783121186793/2535301200456458802993406410752 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (- (* (* 1/6 z) y) 1/2) y) (neg z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 y #s(literal 6600000 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 -7642277889662869/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 5039425669900059/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (or (<=.f64 x #s(literal -7642277889662869/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (not (<=.f64 x #s(literal 5039425669900059/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 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 #s(approx (- (* -1/2 y) z) (neg.f64 z)) 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 (+ 1 x) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 352 | 1334 |
| 1 | 1197 | 1276 |
| 2 | 4340 | 1242 |
| 0 | 8315 | 1167 |
| 0 | 356 | 1541 |
| 1 | 1178 | 1471 |
| 2 | 4279 | 1439 |
| 0 | 8416 | 1363 |
| 0 | 118 | 341 |
| 1 | 370 | 336 |
| 2 | 1127 | 328 |
| 3 | 4378 | 324 |
| 0 | 8138 | 301 |
| 0 | 254 | 845 |
| 1 | 856 | 808 |
| 2 | 2907 | 780 |
| 3 | 7475 | 780 |
| 0 | 8015 | 732 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 302 to 92 computations (69.5% saved)
Compiled 622 to 200 computations (67.8% saved)
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