
Time bar (total: 18.9s)
| 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 13 to 9 computations (30.8% saved)
ival-sub: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-cos: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)ival-sin: 0.0ms (0% of total)| 971.0ms | 8252× | 0 | valid |
| 3.0ms | 1× | 3 | valid |
| 0.0ms | 2× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
ival-cos: 205.0ms (34% of total)ival-sin: 178.0ms (29.6% of total)ival-mult: 114.0ms (18.9% of total)ival-add: 55.0ms (9.1% of total)ival-sub: 40.0ms (6.6% of total)const: 7.0ms (1.2% of total)backward-pass: 3.0ms (0.5% of total)| 2× | egg-herbie |
| 400× | accelerator-lowering-fma.f32 |
| 400× | accelerator-lowering-fma.f64 |
| 392× | sub-neg |
| 382× | cancel-sign-sub-inv |
| 318× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 99 |
| 1 | 105 | 93 |
| 2 | 259 | 92 |
| 3 | 609 | 92 |
| 4 | 1220 | 92 |
| 5 | 1646 | 92 |
| 6 | 1944 | 92 |
| 7 | 2205 | 92 |
| 8 | 2228 | 92 |
| 0 | 8 | 9 |
| 1 | 17 | 9 |
| 2 | 37 | 9 |
| 3 | 61 | 9 |
| 4 | 92 | 9 |
| 5 | 145 | 9 |
| 6 | 257 | 9 |
| 7 | 389 | 9 |
| 8 | 472 | 9 |
| 9 | 520 | 9 |
| 10 | 550 | 9 |
| 0 | 550 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- (+ x (cos y)) (* z (sin y))) |
| Outputs |
|---|
(- (+ x (cos y)) (* z (sin y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Inputs |
|---|
(- (+ x (cos y)) (* z (sin y))) |
(- (+ (neg x) (cos y)) (* z (sin y))) |
(- (+ x (cos (neg y))) (* z (sin (neg y)))) |
(- (+ x (cos y)) (* (neg z) (sin y))) |
(neg (- (+ (neg x) (cos y)) (* z (sin y)))) |
(neg (- (+ x (cos (neg y))) (* z (sin (neg y))))) |
(neg (- (+ x (cos y)) (* (neg z) (sin y)))) |
(- (+ y (cos x)) (* z (sin x))) |
(- (+ z (cos y)) (* x (sin y))) |
(- (+ x (cos z)) (* y (sin z))) |
| Outputs |
|---|
(- (+ x (cos y)) (* z (sin y))) |
(- (+ (neg x) (cos y)) (* z (sin y))) |
(- (- (cos y) x) (* z (sin y))) |
(- (+ x (cos (neg y))) (* z (sin (neg y)))) |
(+ (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* (neg z) (sin y))) |
(+ (+ x (cos y)) (* z (sin y))) |
(neg (- (+ (neg x) (cos y)) (* z (sin y)))) |
(+ (* z (sin y)) (- x (cos y))) |
(neg (- (+ x (cos (neg y))) (* z (sin (neg y))))) |
(- (* (sin y) (neg z)) (+ x (cos y))) |
(neg (- (+ x (cos y)) (* (neg z) (sin y)))) |
(- (* (sin y) (neg z)) (+ x (cos y))) |
(- (+ y (cos x)) (* z (sin x))) |
(- (+ z (cos y)) (* x (sin y))) |
(- (+ (cos y) z) (* x (sin y))) |
(- (+ x (cos z)) (* y (sin z))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 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)) |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | (+.f64 x (cos.f64 y)) |
| 80.0ms | 512× | 0 | valid |
Compiled 68 to 26 computations (61.8% saved)
ival-cos: 26.0ms (45.7% of total)ival-sub: 11.0ms (19.3% of total)ival-sin: 11.0ms (19.3% of total)ival-mult: 4.0ms (7% of total)ival-add: 3.0ms (5.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)Compiled 12 to 8 computations (33.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 8 computations (33.3% 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))) |
| 400× | accelerator-lowering-fma.f32 |
| 400× | accelerator-lowering-fma.f64 |
| 160× | *-lowering-*.f32 |
| 160× | *-lowering-*.f64 |
| 120× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 1 | 17 | 24 |
| 2 | 37 | 24 |
| 3 | 61 | 24 |
| 4 | 92 | 24 |
| 5 | 145 | 24 |
| 6 | 257 | 24 |
| 7 | 389 | 24 |
| 8 | 472 | 24 |
| 9 | 520 | 24 |
| 10 | 550 | 24 |
| 0 | 550 | 24 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
x |
(cos y) |
y |
(* z (sin y)) |
z |
(sin y) |
| Outputs |
|---|
(- (+ x (cos y)) (* z (sin y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
x |
(cos y) |
(cos.f64 y) |
y |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
z |
(sin y) |
(sin.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 100.0% | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | accuracy | 100.0% | (+.f64 x (cos.f64 y)) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| 39.0ms | 256× | 0 | valid |
Compiled 28 to 9 computations (67.9% saved)
ival-cos: 6.0ms (33.1% of total)ival-sin: 6.0ms (33.1% of total)ival-sub: 2.0ms (11% of total)ival-add: 2.0ms (11% of total)ival-mult: 2.0ms (11% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (+ x (cos y))> |
#<alt (cos y)> |
#<alt (* z (sin y))> |
| Outputs |
|---|
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (cos y)> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (- (+ x (cos y)) (* z (sin y))) |
| 1.0ms | z | @ | 0 | (* z (sin y)) |
| 0.0ms | y | @ | inf | (- (+ x (cos y)) (* z (sin y))) |
| 0.0ms | z | @ | 0 | (- (+ x (cos y)) (* z (sin y))) |
| 0.0ms | y | @ | -inf | (- (+ x (cos y)) (* z (sin y))) |
| 1× | batch-egg-rewrite |
| 4620× | *-lowering-*.f32 |
| 4620× | *-lowering-*.f64 |
| 4548× | accelerator-lowering-fma.f32 |
| 4548× | accelerator-lowering-fma.f64 |
| 2418× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 42 | 19 |
| 2 | 383 | 19 |
| 3 | 5636 | 19 |
| 0 | 8230 | 19 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(cos y) |
(* z (sin y)) |
| Outputs |
|---|
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (+.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(+.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y))))))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y))))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 (*.f64 z z) (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y)))))))) |
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))) #s(literal -1 binary64))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (-.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (+.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x (cos.f64 y)) #s(literal 2 binary64))) (*.f64 z (sin.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y))))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y)))))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 (*.f64 z z) (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y))))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(-.f64 (+.f64 (+.f64 x (cos.f64 y)) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y)))) (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x (cos.f64 y)) #s(literal 2 binary64)))) |
(fma.f64 (+.f64 x (cos.f64 y)) (*.f64 (-.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) |
(fma.f64 (+.f64 x (cos.f64 y)) (/.f64 (+.f64 x (cos.f64 y)) (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y))))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 (*.f64 z z) (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y)))))))) |
(fma.f64 (+.f64 x (cos.f64 y)) (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y))))))))) |
(fma.f64 (+.f64 x (cos.f64 y)) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 x (cos.f64 y))) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) |
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 x (cos.f64 y))) |
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) (+.f64 x (cos.f64 y))) |
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64) (+.f64 x (cos.f64 y))) |
(fma.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) |
(fma.f64 (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (*.f64 (+.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) |
(fma.f64 (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (/.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) |
(fma.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y))))))))) |
(fma.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y))))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 (*.f64 z z) (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y)))))))) |
(fma.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (+.f64 x (cos.f64 y)) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y))))))))) |
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(exp.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x (cos.f64 y)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x))) |
(fma.f64 x (/.f64 x (-.f64 x (cos.f64 y))) (neg.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (neg.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (+.f64 x (cos.f64 y)) (neg.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (+.f64 x (cos.f64 y)))) (neg.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))) |
(neg.f64 (/.f64 (-.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 x (cos.f64 y))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (-.f64 x (cos.f64 y)))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) |
(/.f64 (-.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (-.f64 x (cos.f64 y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (-.f64 x (cos.f64 y)))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (cos.f64 y) #s(literal 9 binary64))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) x) (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))))) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) (*.f64 x x))) (-.f64 (cos.f64 y) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (*.f64 (-.f64 x (cos.f64 y)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (+.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (*.f64 (-.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (*.f64 (-.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) (pow.f64 (-.f64 x (cos.f64 y)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (cos.f64 y) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (+.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) (-.f64 x (cos.f64 y)))) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) |
(/.f64 (*.f64 (-.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)) (-.f64 x (cos.f64 y))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (-.f64 x (cos.f64 y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (cos.f64 y))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) (*.f64 x x)))) (neg.f64 (-.f64 (cos.f64 y) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x (cos.f64 y)) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (cos.f64 y) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (+.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) (+.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) |
(pow.f64 (+.f64 x (cos.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (cos.f64 y) x) (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x (cos.f64 y)) (*.f64 (-.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))))) |
(*.f64 (+.f64 x (cos.f64 y)) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 x (cos.f64 y)))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) |
(*.f64 (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (*.f64 (+.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))) |
(*.f64 (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (/.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) |
(*.f64 (-.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (cos.f64 y))))) |
(*.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (-.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x))) |
(*.f64 (/.f64 (-.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (-.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (+.f64 x (cos.f64 y))) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) #s(literal 3 binary64)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (-.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) |
(*.f64 (/.f64 (-.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (+.f64 x (cos.f64 y))))) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
| 1× | egg-herbie |
| 10746× | accelerator-lowering-fma.f32 |
| 10746× | accelerator-lowering-fma.f64 |
| 3588× | *-lowering-*.f32 |
| 3588× | *-lowering-*.f64 |
| 2024× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 612 |
| 1 | 287 | 607 |
| 2 | 771 | 605 |
| 3 | 2082 | 601 |
| 4 | 4360 | 601 |
| 5 | 6324 | 601 |
| 0 | 8449 | 579 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin 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)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+ 1 x) |
(+ 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)))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
| Outputs |
|---|
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1 (* y z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))) |
(- (+ x (cos y)) (* z (sin y))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(* -1 (* z (sin y))) |
(*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(* -1 (* z (sin y))) |
(*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
x |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))))))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* y z) |
(*.f64 y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (*.f64 y z) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(*.f64 y (+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
Compiled 7666 to 643 computations (91.6% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 270 | 13 | 283 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 271 | 13 | 284 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z (+.f64 x (cos.f64 y))) |
| ▶ | 64.0% | (/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
| 52.6% | (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) | |
| 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))) | |
| 60.2% | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) | |
| ▶ | 63.9% | (-.f64 x (*.f64 z (sin.f64 y))) |
| ▶ | 52.2% | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
| 76.0% | (+.f64 (cos.f64 y) x) | |
| 58.3% | (+.f64 x #s(literal 1 binary64)) | |
| 59.8% | (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))) | |
| 52.2% | (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))) | |
| 63.9% | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) | |
| ▶ | 40.7% | x |
Compiled 410 to 248 computations (39.5% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 0 | (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x)) |
| ✓ | cost-diff | 19904 | (/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 z (sin.f64 y)) |
| ✓ | cost-diff | 0 | (-.f64 x (*.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
| ✓ | cost-diff | 0 | (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
| ✓ | cost-diff | 0 | (+.f64 x (cos.f64 y)) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) (sin.f64 y)) |
| ✓ | cost-diff | 6400 | (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z (+.f64 x (cos.f64 y))) |
| 16246× | accelerator-lowering-fma.f32 |
| 16246× | accelerator-lowering-fma.f64 |
| 2874× | *-lowering-*.f32 |
| 2874× | *-lowering-*.f64 |
| 2746× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 138 |
| 1 | 62 | 136 |
| 2 | 126 | 136 |
| 3 | 336 | 136 |
| 4 | 1053 | 136 |
| 5 | 3629 | 136 |
| 0 | 8216 | 134 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (- 0 (sin y)) z) (+ x (cos y))) |
(- 0 (sin y)) |
0 |
(sin y) |
y |
z |
(+ x (cos y)) |
x |
(cos y) |
x |
(+ (+ x 1) (* y (- (* y -1/2) z))) |
(+ x 1) |
x |
1 |
(* y (- (* y -1/2) z)) |
y |
(- (* y -1/2) z) |
(* y -1/2) |
-1/2 |
z |
(- x (* z (sin y))) |
x |
(* z (sin y)) |
z |
(sin y) |
y |
(/ (- (pow (- (cos y) (* z (sin y))) 2) (* x x)) (- (- (cos y) (* z (sin y))) x)) |
(- (pow (- (cos y) (* z (sin y))) 2) (* x x)) |
(pow (- (cos y) (* z (sin y))) 2) |
(- (cos y) (* z (sin y))) |
(cos y) |
y |
(* z (sin y)) |
z |
(sin y) |
2 |
(* x x) |
x |
(- (- (cos y) (* z (sin y))) x) |
| Outputs |
|---|
(+ (* (- 0 (sin y)) z) (+ x (cos y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))) |
(- 0 (sin y)) |
(-.f64 #s(literal 0 binary64) (sin.f64 y)) |
0 |
#s(literal 0 binary64) |
(sin y) |
(sin.f64 y) |
y |
z |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
x |
(cos y) |
(cos.f64 y) |
x |
(+ (+ x 1) (* y (- (* y -1/2) z))) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(* y (- (* y -1/2) z)) |
(*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) |
y |
(- (* y -1/2) z) |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(* y -1/2) |
(*.f64 y #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
z |
(- x (* z (sin y))) |
(-.f64 x (*.f64 (sin.f64 y) z)) |
x |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin y) |
(sin.f64 y) |
y |
(/ (- (pow (- (cos y) (* z (sin y))) 2) (* x x)) (- (- (cos y) (* z (sin y))) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))) |
(- (pow (- (cos y) (* z (sin y))) 2) (* x x)) |
(-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 x x)) |
(pow (- (cos y) (* z (sin y))) 2) |
(pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(cos y) |
(cos.f64 y) |
y |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin y) |
(sin.f64 y) |
2 |
#s(literal 2 binary64) |
(* x x) |
(*.f64 x x) |
x |
(- (- (cos y) (* z (sin y))) x) |
(-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z))) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 99.5% | (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) |
| ✓ | accuracy | 96.6% | (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x)) |
| ✓ | accuracy | 64.2% | (/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (-.f64 x (*.f64 z (sin.f64 y))) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
| ✓ | accuracy | 100.0% | (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 x (cos.f64 y)) |
| ✓ | accuracy | 99.9% | (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z (+.f64 x (cos.f64 y))) |
| 145.0ms | 256× | 0 | valid |
Compiled 156 to 26 computations (83.3% saved)
ival-add: 53.0ms (47% of total)ival-mult: 30.0ms (26.6% of total)ival-sin: 8.0ms (7.1% of total)ival-sub: 8.0ms (7.1% of total)ival-cos: 6.0ms (5.3% of total)compiled-spec: 4.0ms (3.5% of total)ival-pow: 3.0ms (2.7% of total)ival-div: 2.0ms (1.8% of total)const: 1.0ms (0.9% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (- 0 (sin y)) z) (+ x (cos y)))> |
#<alt (- 0 (sin y))> |
#<alt (sin y)> |
#<alt (+ x (cos y))> |
#<alt (+ (+ x 1) (* y (- (* y -1/2) z)))> |
#<alt (+ x 1)> |
#<alt (* y (- (* y -1/2) z))> |
#<alt (- (* y -1/2) z)> |
#<alt (- x (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (/ (- (pow (- (cos y) (* z (sin y))) 2) (* x x)) (- (- (cos y) (* z (sin y))) x))> |
#<alt (- (pow (- (cos y) (* z (sin y))) 2) (* x x))> |
#<alt (pow (- (cos y) (* z (sin y))) 2)> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (cos y)> |
#<alt (* y -1/2)> |
| Outputs |
|---|
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))> |
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))> |
#<alt (+ (cos y) (* -1 (* z (sin y))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))> |
#<alt (* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))> |
#<alt (* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))> |
#<alt (* -1 y)> |
#<alt (* y (- (* 1/6 (pow y 2)) 1))> |
#<alt (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))> |
#<alt (* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))> |
#<alt (* -1 (sin y))> |
#<alt (* -1 (sin y))> |
#<alt (* -1 (sin y))> |
#<alt (* -1 (sin y))> |
#<alt (* -1 (sin y))> |
#<alt (* -1 (sin y))> |
#<alt (* -1 (sin y))> |
#<alt (* -1 (sin y))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (cos y)> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ 1 (* y (- (* -1/2 y) z)))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))> |
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))> |
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))> |
#<alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))> |
#<alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))> |
#<alt (* -1 (* y z))> |
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))> |
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))> |
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* -1 (* y z))> |
#<alt (* y (+ (* -1 z) (* -1/2 y)))> |
#<alt (* y (+ (* -1 z) (* -1/2 y)))> |
#<alt (* y (+ (* -1 z) (* -1/2 y)))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (+ (* -1 (* y z)) (* -1/2 (pow y 2)))> |
#<alt (+ (* -1 (* y z)) (* -1/2 (pow y 2)))> |
#<alt (+ (* -1 (* y z)) (* -1/2 (pow y 2)))> |
#<alt (* -1 (* y z))> |
#<alt (* z (+ (* -1 y) (* -1/2 (/ (pow y 2) z))))> |
#<alt (* z (+ (* -1 y) (* -1/2 (/ (pow y 2) z))))> |
#<alt (* z (+ (* -1 y) (* -1/2 (/ (pow y 2) z))))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* z (+ y (* 1/2 (/ (pow y 2) z)))))> |
#<alt (* -1 (* z (+ y (* 1/2 (/ (pow y 2) z)))))> |
#<alt (* -1 (* z (+ y (* 1/2 (/ (pow y 2) z)))))> |
#<alt (* -1 z)> |
#<alt (- (* -1/2 y) z)> |
#<alt (- (* -1/2 y) z)> |
#<alt (- (* -1/2 y) z)> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* -1 (/ z y)) 1/2))> |
#<alt (* y (- (* -1 (/ z y)) 1/2))> |
#<alt (* y (- (* -1 (/ z y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (/ z y))))> |
#<alt (* -1 (* y (+ 1/2 (/ z y))))> |
#<alt (* -1 (* y (+ 1/2 (/ z y))))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1 z) (* -1/2 y))> |
#<alt (+ (* -1 z) (* -1/2 y))> |
#<alt (+ (* -1 z) (* -1/2 y))> |
#<alt (* -1 z)> |
#<alt (* z (- (* -1/2 (/ y z)) 1))> |
#<alt (* z (- (* -1/2 (/ y z)) 1))> |
#<alt (* z (- (* -1/2 (/ y z)) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* 1/2 (/ y z)))))> |
#<alt (* -1 (* z (+ 1 (* 1/2 (/ y z)))))> |
#<alt (* -1 (* z (+ 1 (* 1/2 (/ y z)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (- x (* z (sin y)))> |
#<alt (- x (* z (sin y)))> |
#<alt (- x (* z (sin y)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* z (sin y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ (* z (sin y)) x) 1)))> |
#<alt (* -1 (* x (- (/ (* z (sin y)) x) 1)))> |
#<alt (* -1 (* x (- (/ (* z (sin y)) x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 (* z (sin y))))> |
#<alt (+ x (* -1 (* z (sin y))))> |
#<alt (+ x (* -1 (* z (sin y))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (/ x z) (sin y)))> |
#<alt (* z (- (/ x z) (sin y)))> |
#<alt (* z (- (/ x z) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (- (* 1/6 (* (pow y 2) z)) z)))> |
#<alt (+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z)))> |
#<alt (- x (* z (sin y)))> |
#<alt (- x (* z (sin y)))> |
#<alt (- x (* z (sin y)))> |
#<alt (- x (* z (sin y)))> |
#<alt (- x (* z (sin y)))> |
#<alt (- x (* z (sin y)))> |
#<alt (- x (* z (sin y)))> |
#<alt (- x (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (/ (- 1 (pow x 2)) (- 1 x))> |
#<alt (- (+ (* y (- (* -2 (/ z (- 1 x))) (* -1 (/ (* z (- 1 (pow x 2))) (pow (- 1 x) 2))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))> |
#<alt (- (+ (* y (- (+ (* -2 (/ z (- 1 x))) (* y (- (/ (pow z 2) (- 1 x)) (+ (* -1 (/ (* z (- (* -2 (/ z (- 1 x))) (* -1 (/ (* z (- 1 (pow x 2))) (pow (- 1 x) 2))))) (- 1 x))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))))) (* -1 (/ (* z (- 1 (pow x 2))) (pow (- 1 x) 2))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))> |
#<alt (- (+ (* y (- (+ (* -2 (/ z (- 1 x))) (* y (- (+ (* y (- (+ (* 1/3 (/ z (- 1 x))) (/ z (- 1 x))) (+ (* -1 (/ (* z (- (/ (pow z 2) (- 1 x)) (+ (* -1 (/ (* z (- (* -2 (/ z (- 1 x))) (* -1 (/ (* z (- 1 (pow x 2))) (pow (- 1 x) 2))))) (- 1 x))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x)))))) (- 1 x))) (+ (* -1/2 (/ (- (* -2 (/ z (- 1 x))) (* -1 (/ (* z (- 1 (pow x 2))) (pow (- 1 x) 2)))) (- 1 x))) (* 1/6 (/ (* z (- 1 (pow x 2))) (pow (- 1 x) 2))))))) (/ (pow z 2) (- 1 x))) (+ (* -1 (/ (* z (- (* -2 (/ z (- 1 x))) (* -1 (/ (* z (- 1 (pow x 2))) (pow (- 1 x) 2))))) (- 1 x))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))))) (* -1 (/ (* z (- 1 (pow x 2))) (pow (- 1 x) 2))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))> |
#<alt (/ (- (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) (- (cos y) (+ x (* z (sin y)))))> |
#<alt (/ (- (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) (- (cos y) (+ x (* z (sin y)))))> |
#<alt (/ (- (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) (- (cos y) (+ x (* z (sin y)))))> |
#<alt (/ (- (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) (- (cos y) (+ x (* z (sin y)))))> |
#<alt (/ (- (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) (- (cos y) (+ x (* z (sin y)))))> |
#<alt (/ (- (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) (- (cos y) (+ x (* z (sin y)))))> |
#<alt (/ (- (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) (- (cos y) (+ x (* z (sin y)))))> |
#<alt (/ (- (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) (- (cos y) (+ x (* z (sin y)))))> |
#<alt (/ (- (pow (cos y) 2) (pow x 2)) (- (cos y) x))> |
#<alt (- (+ (* z (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x)))> |
#<alt (- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* z (- (/ (pow (sin y) 2) (- (cos y) x)) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x)))> |
#<alt (- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* z (- (+ (/ (* z (* (sin y) (- (/ (pow (sin y) 2) (- (cos y) x)) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (- (cos y) x)) (/ (pow (sin y) 2) (- (cos y) x))) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (* -1 (sin y)) (+ (* 2 (/ (cos y) z)) (/ x z))) (/ (cos y) z)))> |
#<alt (* z (- (+ (* -1 (sin y)) (+ (* -1 (/ (- (pow (cos y) 2) (pow x 2)) (* (pow z 2) (sin y)))) (+ (* 2 (/ (cos y) z)) (/ x z)))) (+ (* -1 (/ (* (- (cos y) x) (- (+ x (* 2 (cos y))) (cos y))) (* (pow z 2) (sin y)))) (/ (cos y) z))))> |
#<alt (* z (- (+ (* -1 (sin y)) (+ (* -1 (/ (- (pow (cos y) 2) (pow x 2)) (* (pow z 2) (sin y)))) (+ (* 2 (/ (cos y) z)) (+ (/ x z) (/ (* (- (cos y) x) (- (* -1 (/ (- (pow (cos y) 2) (pow x 2)) (sin y))) (* -1 (/ (* (- (cos y) x) (- (+ x (* 2 (cos y))) (cos y))) (sin y))))) (* (pow z 3) (sin y))))))) (+ (* -1 (/ (* (- (cos y) x) (- (+ x (* 2 (cos y))) (cos y))) (* (pow z 2) (sin y)))) (/ (cos y) z))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (- (+ x (* 2 (cos y))) (cos y)) z)))))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (- (+ x (+ (* -1 (/ (- (/ (pow (cos y) 2) (sin y)) (+ (/ (* (- (cos y) x) (- (+ x (* 2 (cos y))) (cos y))) (sin y)) (/ (pow x 2) (sin y)))) z)) (* 2 (cos y)))) (cos y)) z)))))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (- (+ x (+ (* -1 (/ (- (+ (/ (* (- (cos y) x) (- (/ (pow (cos y) 2) (sin y)) (+ (/ (* (- (cos y) x) (- (+ x (* 2 (cos y))) (cos y))) (sin y)) (/ (pow x 2) (sin y))))) (* z (sin y))) (/ (pow (cos y) 2) (sin y))) (+ (/ (* (- (cos y) x) (- (+ x (* 2 (cos y))) (cos y))) (sin y)) (/ (pow x 2) (sin y)))) z)) (* 2 (cos y)))) (cos y)) z)))))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (- 1 (pow x 2))> |
#<alt (- (+ 1 (* -2 (* y z))) (pow x 2))> |
#<alt (- (+ 1 (* y (+ (* -2 z) (* y (- (pow z 2) 1))))) (pow x 2))> |
#<alt (- (+ 1 (* y (+ (* -2 z) (* y (- (+ (* y (+ z (* 1/3 z))) (pow z 2)) 1))))) (pow x 2))> |
#<alt (- (pow (- (cos y) (* z (sin y))) 2) (pow x 2))> |
#<alt (- (pow (- (cos y) (* z (sin y))) 2) (pow x 2))> |
#<alt (- (pow (- (cos y) (* z (sin y))) 2) (pow x 2))> |
#<alt (- (pow (- (cos y) (* z (sin y))) 2) (pow x 2))> |
#<alt (- (pow (- (cos y) (* z (sin y))) 2) (pow x 2))> |
#<alt (- (pow (- (cos y) (* z (sin y))) 2) (pow x 2))> |
#<alt (- (pow (- (cos y) (* z (sin y))) 2) (pow x 2))> |
#<alt (- (pow (- (cos y) (* z (sin y))) 2) (pow x 2))> |
#<alt (- (pow (cos y) 2) (pow x 2))> |
#<alt (- (+ (* -2 (* z (* (cos y) (sin y)))) (pow (cos y) 2)) (pow x 2))> |
#<alt (- (+ (* z (+ (* -2 (* (cos y) (sin y))) (* z (pow (sin y) 2)))) (pow (cos y) 2)) (pow x 2))> |
#<alt (- (+ (* z (+ (* -2 (* (cos y) (sin y))) (* z (pow (sin y) 2)))) (pow (cos y) 2)) (pow x 2))> |
#<alt (* (pow z 2) (pow (sin y) 2))> |
#<alt (* (pow z 2) (+ (* -2 (/ (* (cos y) (sin y)) z)) (pow (sin y) 2)))> |
#<alt (* (pow z 2) (- (+ (* -2 (/ (* (cos y) (sin y)) z)) (+ (/ (pow (cos y) 2) (pow z 2)) (pow (sin y) 2))) (/ (pow x 2) (pow z 2))))> |
#<alt (* (pow z 2) (- (+ (* -2 (/ (* (cos y) (sin y)) z)) (+ (/ (pow (cos y) 2) (pow z 2)) (pow (sin y) 2))) (/ (pow x 2) (pow z 2))))> |
#<alt (* (pow z 2) (pow (sin y) 2))> |
#<alt (* (pow z 2) (+ (* -2 (/ (* (cos y) (sin y)) z)) (pow (sin y) 2)))> |
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (- (pow (cos y) 2) (pow x 2)) z)) (* 2 (* (cos y) (sin y)))) z)) (pow (sin y) 2)))> |
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (- (pow (cos y) 2) (pow x 2)) z)) (* 2 (* (cos y) (sin y)))) z)) (pow (sin y) 2)))> |
#<alt (pow (- (cos y) (* z (sin y))) 2)> |
#<alt (+ (* -1 (pow x 2)) (pow (- (cos y) (* z (sin y))) 2))> |
#<alt (+ (* -1 (pow x 2)) (pow (- (cos y) (* z (sin y))) 2))> |
#<alt (+ (* -1 (pow x 2)) (pow (- (cos y) (* z (sin y))) 2))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (/ (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) 1))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (/ (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) 1))> |
#<alt 1> |
#<alt (+ 1 (* -2 (* y z)))> |
#<alt (+ 1 (* y (+ (* -2 z) (* y (- (pow z 2) 1)))))> |
#<alt (+ 1 (* y (+ (* -2 z) (* y (- (+ (* y (+ z (* 1/3 z))) (pow z 2)) 1)))))> |
#<alt (pow (- (cos y) (* z (sin y))) 2)> |
#<alt (pow (- (cos y) (* z (sin y))) 2)> |
#<alt (pow (- (cos y) (* z (sin y))) 2)> |
#<alt (pow (- (cos y) (* z (sin y))) 2)> |
#<alt (pow (- (cos y) (* z (sin y))) 2)> |
#<alt (pow (- (cos y) (* z (sin y))) 2)> |
#<alt (pow (- (cos y) (* z (sin y))) 2)> |
#<alt (pow (- (cos y) (* z (sin y))) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (+ (* -2 (* z (* (cos y) (sin y)))) (pow (cos y) 2))> |
#<alt (+ (* z (+ (* -2 (* (cos y) (sin y))) (* z (pow (sin y) 2)))) (pow (cos y) 2))> |
#<alt (+ (* z (+ (* -2 (* (cos y) (sin y))) (* z (pow (sin y) 2)))) (pow (cos y) 2))> |
#<alt (* (pow z 2) (pow (sin y) 2))> |
#<alt (* (pow z 2) (+ (* -2 (/ (* (cos y) (sin y)) z)) (pow (sin y) 2)))> |
#<alt (* (pow z 2) (+ (* -2 (/ (* (cos y) (sin y)) z)) (+ (/ (pow (cos y) 2) (pow z 2)) (pow (sin y) 2))))> |
#<alt (* (pow z 2) (+ (* -2 (/ (* (cos y) (sin y)) z)) (+ (/ (pow (cos y) 2) (pow z 2)) (pow (sin y) 2))))> |
#<alt (* (pow z 2) (pow (sin y) 2))> |
#<alt (* (pow z 2) (+ (* -2 (/ (* (cos y) (sin y)) z)) (pow (sin y) 2)))> |
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow (cos y) 2) z)) (* 2 (* (cos y) (sin y)))) z)) (pow (sin y) 2)))> |
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow (cos y) 2) z)) (* 2 (* (cos y) (sin y)))) z)) (pow (sin y) 2)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* y z)))> |
#<alt (+ 1 (* y (- (* -1/2 y) z)))> |
#<alt (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (cos y)> |
#<alt (+ (cos y) (* -1 (* z (sin y))))> |
#<alt (+ (cos y) (* -1 (* z (sin y))))> |
#<alt (+ (cos y) (* -1 (* z (sin y))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | (- (pow (- (cos y) (* z (sin y))) 2) (* x x)) |
| 2.0ms | y | @ | inf | (+ (* (- 0 (sin y)) z) (+ x (cos y))) |
| 2.0ms | y | @ | 0 | (/ (- (pow (- (cos y) (* z (sin y))) 2) (* x x)) (- (- (cos y) (* z (sin y))) x)) |
| 1.0ms | y | @ | inf | (/ (- (pow (- (cos y) (* z (sin y))) 2) (* x x)) (- (- (cos y) (* z (sin y))) x)) |
| 1.0ms | y | @ | -inf | (+ (+ x 1) (* y (- (* y -1/2) z))) |
| 1× | batch-egg-rewrite |
| 4644× | accelerator-lowering-fma.f32 |
| 4644× | accelerator-lowering-fma.f64 |
| 4272× | /-lowering-/.f32 |
| 4272× | /-lowering-/.f64 |
| 4066× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 99 |
| 1 | 184 | 97 |
| 2 | 1741 | 97 |
| 0 | 8396 | 96 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (- 0 (sin y)) z) (+ x (cos y))) |
(- 0 (sin y)) |
(sin y) |
(+ x (cos y)) |
(+ (+ x 1) (* y (- (* y -1/2) z))) |
(+ x 1) |
(* y (- (* y -1/2) z)) |
(- (* y -1/2) z) |
(- x (* z (sin y))) |
(* z (sin y)) |
(/ (- (pow (- (cos y) (* z (sin y))) 2) (* x x)) (- (- (cos y) (* z (sin y))) x)) |
(- (pow (- (cos y) (* z (sin y))) 2) (* x x)) |
(pow (- (cos y) (* z (sin y))) 2) |
(- (cos y) (* z (sin y))) |
(cos y) |
(* y -1/2) |
| Outputs |
|---|
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (+.f64 x (cos.f64 y))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))) |
(+.f64 (+.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) x) |
(+.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))))) |
(+.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (cos.f64 y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))))) #s(literal -1 binary64))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 (sin.f64 y) z) x)) |
(-.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z))))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 z z)) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (+.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (+.f64 x (cos.f64 y))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 6 binary64)) (+.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (+.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 x x))))) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (+.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 x x))))) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 4 binary64)) (+.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 x x))) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 x x))) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z))))) (/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 6 binary64)) (*.f64 (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z))) (+.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (+.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 x x)))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z))) (+.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (+.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 x x))))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 4 binary64)) (*.f64 (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z))) (+.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z))) (+.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))) (pow.f64 (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z))) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z))) (*.f64 x x)) (pow.f64 (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 6 binary64)) (pow.f64 (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))))))) (/.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z))))))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 z z)) (-.f64 (+.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (cos.f64 y))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (cos.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))))) (/.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z))))))) |
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) (+.f64 x (cos.f64 y))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z (+.f64 x (cos.f64 y))) |
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 x (cos.f64 y))) |
(fma.f64 x #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) |
(fma.f64 #s(literal 1 binary64) x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) |
(fma.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) (/.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))))) |
(fma.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))))) |
(fma.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) |
(fma.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))))) x) |
(fma.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(fma.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) |
(fma.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))) |
(fma.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))))) |
(fma.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 x (*.f64 (sin.f64 y) z))))) (cos.f64 y)) |
(fma.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sin.f64 y) z))) (cos.f64 y)) |
(fma.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) x) |
(fma.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 x x))) (+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))))) |
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(pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 1 binary64)) |
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(cos.f64 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
| 1× | egg-herbie |
| 10366× | accelerator-lowering-fma.f32 |
| 10366× | accelerator-lowering-fma.f64 |
| 6460× | *-lowering-*.f32 |
| 6460× | *-lowering-*.f64 |
| 4104× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 475 | 4424 |
| 1 | 1452 | 4304 |
| 2 | 4379 | 4261 |
| 0 | 8738 | 4096 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 x) |
(+ 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)))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+ 1 x) |
(+ 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)))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
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(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 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)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
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(* -1 (* y z)) |
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(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* -1 (* y z)) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
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(* -1/2 (pow y 2)) |
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(+ (* -1 (* y z)) (* -1/2 (pow y 2))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (* -1/2 (/ (pow y 2) z)))) |
(* z (+ (* -1 y) (* -1/2 (/ (pow y 2) z)))) |
(* z (+ (* -1 y) (* -1/2 (/ (pow y 2) z)))) |
(* -1 (* y z)) |
(* -1 (* z (+ y (* 1/2 (/ (pow y 2) z))))) |
(* -1 (* z (+ y (* 1/2 (/ (pow y 2) z))))) |
(* -1 (* z (+ y (* 1/2 (/ (pow y 2) z))))) |
(* -1 z) |
(- (* -1/2 y) z) |
(- (* -1/2 y) z) |
(- (* -1/2 y) z) |
(* -1/2 y) |
(* y (- (* -1 (/ z y)) 1/2)) |
(* y (- (* -1 (/ z y)) 1/2)) |
(* y (- (* -1 (/ z y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(* -1/2 y) |
(+ (* -1 z) (* -1/2 y)) |
(+ (* -1 z) (* -1/2 y)) |
(+ (* -1 z) (* -1/2 y)) |
(* -1 z) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1 (* z (sin y))) |
(- x (* z (sin y))) |
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(- x (* z (sin y))) |
x |
(* x (+ 1 (* -1 (/ (* z (sin y)) x)))) |
(* x (+ 1 (* -1 (/ (* z (sin y)) x)))) |
(* x (+ 1 (* -1 (/ (* z (sin y)) x)))) |
x |
(* -1 (* x (- (/ (* z (sin y)) x) 1))) |
(* -1 (* x (- (/ (* z (sin y)) x) 1))) |
(* -1 (* x (- (/ (* z (sin y)) x) 1))) |
x |
(+ x (* -1 (* z (sin y)))) |
(+ x (* -1 (* z (sin y)))) |
(+ x (* -1 (* z (sin y)))) |
(* -1 (* z (sin y))) |
(* z (- (/ x z) (sin y))) |
(* z (- (/ x z) (sin y))) |
(* z (- (/ x z) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y))))) |
x |
(+ x (* -1 (* y z))) |
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(+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))) |
(- x (* z (sin y))) |
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(- x (* z (sin y))) |
(- x (* z (sin y))) |
(- x (* z (sin y))) |
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(- x (* z (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(/ (- 1 (pow x 2)) (- 1 x)) |
(- (+ (* y (- (* -2 (/ z (- 1 x))) (* -1 (/ (* z (- 1 (pow x 2))) (pow (- 1 x) 2))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x))) |
(- (+ (* y (- (+ (* -2 (/ z (- 1 x))) (* y (- (/ (pow z 2) (- 1 x)) (+ (* -1 (/ (* z (- (* -2 (/ z (- 1 x))) (* -1 (/ (* z (- 1 (pow x 2))) (pow (- 1 x) 2))))) (- 1 x))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))))) (* -1 (/ (* z (- 1 (pow x 2))) (pow (- 1 x) 2))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x))) |
(- (+ (* y (- (+ (* -2 (/ z (- 1 x))) (* y (- (+ (* y (- (+ (* 1/3 (/ z (- 1 x))) (/ z (- 1 x))) (+ (* -1 (/ (* z (- (/ (pow z 2) (- 1 x)) (+ (* -1 (/ (* z (- (* -2 (/ z (- 1 x))) (* -1 (/ (* z (- 1 (pow x 2))) (pow (- 1 x) 2))))) (- 1 x))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x)))))) (- 1 x))) (+ (* -1/2 (/ (- (* -2 (/ z (- 1 x))) (* -1 (/ (* z (- 1 (pow x 2))) (pow (- 1 x) 2)))) (- 1 x))) (* 1/6 (/ (* z (- 1 (pow x 2))) (pow (- 1 x) 2))))))) (/ (pow z 2) (- 1 x))) (+ (* -1 (/ (* z (- (* -2 (/ z (- 1 x))) (* -1 (/ (* z (- 1 (pow x 2))) (pow (- 1 x) 2))))) (- 1 x))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))))) (* -1 (/ (* z (- 1 (pow x 2))) (pow (- 1 x) 2))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x))) |
(/ (- (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) (- (cos y) (+ x (* z (sin y))))) |
(/ (- (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) (- (cos y) (+ x (* z (sin y))))) |
(/ (- (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) (- (cos y) (+ x (* z (sin y))))) |
(/ (- (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) (- (cos y) (+ x (* z (sin y))))) |
(/ (- (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) (- (cos y) (+ x (* z (sin y))))) |
(/ (- (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) (- (cos y) (+ x (* z (sin y))))) |
(/ (- (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) (- (cos y) (+ x (* z (sin y))))) |
(/ (- (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) (- (cos y) (+ x (* z (sin y))))) |
(/ (- (pow (cos y) 2) (pow x 2)) (- (cos y) x)) |
(- (+ (* z (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) |
(- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* z (- (/ (pow (sin y) 2) (- (cos y) x)) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) |
(- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* z (- (+ (/ (* z (* (sin y) (- (/ (pow (sin y) 2) (- (cos y) x)) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (- (cos y) x)) (/ (pow (sin y) 2) (- (cos y) x))) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) |
(* -1 (* z (sin y))) |
(* z (- (+ (* -1 (sin y)) (+ (* 2 (/ (cos y) z)) (/ x z))) (/ (cos y) z))) |
(* z (- (+ (* -1 (sin y)) (+ (* -1 (/ (- (pow (cos y) 2) (pow x 2)) (* (pow z 2) (sin y)))) (+ (* 2 (/ (cos y) z)) (/ x z)))) (+ (* -1 (/ (* (- (cos y) x) (- (+ x (* 2 (cos y))) (cos y))) (* (pow z 2) (sin y)))) (/ (cos y) z)))) |
(* z (- (+ (* -1 (sin y)) (+ (* -1 (/ (- (pow (cos y) 2) (pow x 2)) (* (pow z 2) (sin y)))) (+ (* 2 (/ (cos y) z)) (+ (/ x z) (/ (* (- (cos y) x) (- (* -1 (/ (- (pow (cos y) 2) (pow x 2)) (sin y))) (* -1 (/ (* (- (cos y) x) (- (+ x (* 2 (cos y))) (cos y))) (sin y))))) (* (pow z 3) (sin y))))))) (+ (* -1 (/ (* (- (cos y) x) (- (+ x (* 2 (cos y))) (cos y))) (* (pow z 2) (sin y)))) (/ (cos y) z)))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (+ x (* 2 (cos y))) (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (+ x (+ (* -1 (/ (- (/ (pow (cos y) 2) (sin y)) (+ (/ (* (- (cos y) x) (- (+ x (* 2 (cos y))) (cos y))) (sin y)) (/ (pow x 2) (sin y)))) z)) (* 2 (cos y)))) (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (+ x (+ (* -1 (/ (- (+ (/ (* (- (cos y) x) (- (/ (pow (cos y) 2) (sin y)) (+ (/ (* (- (cos y) x) (- (+ x (* 2 (cos y))) (cos y))) (sin y)) (/ (pow x 2) (sin y))))) (* z (sin y))) (/ (pow (cos y) 2) (sin y))) (+ (/ (* (- (cos y) x) (- (+ x (* 2 (cos y))) (cos y))) (sin y)) (/ (pow x 2) (sin y)))) z)) (* 2 (cos y)))) (cos y)) z))))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(- 1 (pow x 2)) |
(- (+ 1 (* -2 (* y z))) (pow x 2)) |
(- (+ 1 (* y (+ (* -2 z) (* y (- (pow z 2) 1))))) (pow x 2)) |
(- (+ 1 (* y (+ (* -2 z) (* y (- (+ (* y (+ z (* 1/3 z))) (pow z 2)) 1))))) (pow x 2)) |
(- (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) |
(- (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) |
(- (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) |
(- (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) |
(- (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) |
(- (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) |
(- (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) |
(- (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) |
(- (pow (cos y) 2) (pow x 2)) |
(- (+ (* -2 (* z (* (cos y) (sin y)))) (pow (cos y) 2)) (pow x 2)) |
(- (+ (* z (+ (* -2 (* (cos y) (sin y))) (* z (pow (sin y) 2)))) (pow (cos y) 2)) (pow x 2)) |
(- (+ (* z (+ (* -2 (* (cos y) (sin y))) (* z (pow (sin y) 2)))) (pow (cos y) 2)) (pow x 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (+ (* -2 (/ (* (cos y) (sin y)) z)) (pow (sin y) 2))) |
(* (pow z 2) (- (+ (* -2 (/ (* (cos y) (sin y)) z)) (+ (/ (pow (cos y) 2) (pow z 2)) (pow (sin y) 2))) (/ (pow x 2) (pow z 2)))) |
(* (pow z 2) (- (+ (* -2 (/ (* (cos y) (sin y)) z)) (+ (/ (pow (cos y) 2) (pow z 2)) (pow (sin y) 2))) (/ (pow x 2) (pow z 2)))) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (+ (* -2 (/ (* (cos y) (sin y)) z)) (pow (sin y) 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (- (pow (cos y) 2) (pow x 2)) z)) (* 2 (* (cos y) (sin y)))) z)) (pow (sin y) 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (- (pow (cos y) 2) (pow x 2)) z)) (* 2 (* (cos y) (sin y)))) z)) (pow (sin y) 2))) |
(pow (- (cos y) (* z (sin y))) 2) |
(+ (* -1 (pow x 2)) (pow (- (cos y) (* z (sin y))) 2)) |
(+ (* -1 (pow x 2)) (pow (- (cos y) (* z (sin y))) 2)) |
(+ (* -1 (pow x 2)) (pow (- (cos y) (* z (sin y))) 2)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow (- (cos y) (* z (sin y))) 2) (pow x 2)) 1)) |
1 |
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(+ 1 (* y (+ (* -2 z) (* y (- (pow z 2) 1))))) |
(+ 1 (* y (+ (* -2 z) (* y (- (+ (* y (+ z (* 1/3 z))) (pow z 2)) 1))))) |
(pow (- (cos y) (* z (sin y))) 2) |
(pow (- (cos y) (* z (sin y))) 2) |
(pow (- (cos y) (* z (sin y))) 2) |
(pow (- (cos y) (* z (sin y))) 2) |
(pow (- (cos y) (* z (sin y))) 2) |
(pow (- (cos y) (* z (sin y))) 2) |
(pow (- (cos y) (* z (sin y))) 2) |
(pow (- (cos y) (* z (sin y))) 2) |
(pow (cos y) 2) |
(+ (* -2 (* z (* (cos y) (sin y)))) (pow (cos y) 2)) |
(+ (* z (+ (* -2 (* (cos y) (sin y))) (* z (pow (sin y) 2)))) (pow (cos y) 2)) |
(+ (* z (+ (* -2 (* (cos y) (sin y))) (* z (pow (sin y) 2)))) (pow (cos y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (+ (* -2 (/ (* (cos y) (sin y)) z)) (pow (sin y) 2))) |
(* (pow z 2) (+ (* -2 (/ (* (cos y) (sin y)) z)) (+ (/ (pow (cos y) 2) (pow z 2)) (pow (sin y) 2)))) |
(* (pow z 2) (+ (* -2 (/ (* (cos y) (sin y)) z)) (+ (/ (pow (cos y) 2) (pow z 2)) (pow (sin y) 2)))) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (+ (* -2 (/ (* (cos y) (sin y)) z)) (pow (sin y) 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow (cos y) 2) z)) (* 2 (* (cos y) (sin y)))) z)) (pow (sin y) 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow (cos y) 2) z)) (* 2 (* (cos y) (sin y)))) z)) (pow (sin y) 2))) |
1 |
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(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(cos y) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(* -1 (* z (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
| Outputs |
|---|
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(* -1 (* z (sin y))) |
(*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* -1 (* z (sin y))) |
(*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) (-.f64 #s(literal 0 binary64) z)) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) (-.f64 #s(literal 0 binary64) z)) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) (-.f64 #s(literal 0 binary64) z)) |
(+ (cos y) (* -1 (* z (sin y)))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) #s(literal 1 binary64))) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal -1/120 binary64))))))) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))))))) |
(* -1 (sin y)) |
(-.f64 #s(literal 0 binary64) (sin.f64 y)) |
(* -1 (sin y)) |
(-.f64 #s(literal 0 binary64) (sin.f64 y)) |
(* -1 (sin y)) |
(-.f64 #s(literal 0 binary64) (sin.f64 y)) |
(* -1 (sin y)) |
(-.f64 #s(literal 0 binary64) (sin.f64 y)) |
(* -1 (sin y)) |
(-.f64 #s(literal 0 binary64) (sin.f64 y)) |
(* -1 (sin y)) |
(-.f64 #s(literal 0 binary64) (sin.f64 y)) |
(* -1 (sin y)) |
(-.f64 #s(literal 0 binary64) (sin.f64 y)) |
(* -1 (sin y)) |
(-.f64 #s(literal 0 binary64) (sin.f64 y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) #s(literal 1 binary64)))) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) #s(literal 1 binary64)))) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) #s(literal 1 binary64)))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)) #s(literal 1 binary64))) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (/.f64 y x))))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (/.f64 y x))))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (/.f64 y x))))) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) x)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) x)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) x)))) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(* -1/2 (pow y 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(*.f64 (*.f64 y y) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y))) (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(*.f64 (*.f64 y y) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y))) (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))) |
(* -1/2 (pow y 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 z (/.f64 (-.f64 #s(literal -1 binary64) x) y)) y))) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 z (/.f64 (-.f64 #s(literal -1 binary64) x) y)) y))) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(* -1 (* y z)) |
(*.f64 y (-.f64 #s(literal 0 binary64) z)) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(*.f64 z (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) (-.f64 (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)) y))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(*.f64 z (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) (-.f64 (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)) y))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(*.f64 z (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) (-.f64 (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)) y))) |
(* -1 (* y z)) |
(*.f64 y (-.f64 #s(literal 0 binary64) z)) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(*.f64 z (-.f64 #s(literal 0 binary64) (-.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))) z)))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(*.f64 z (-.f64 #s(literal 0 binary64) (-.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))) z)))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(*.f64 z (-.f64 #s(literal 0 binary64) (-.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))) z)))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* -1 (* y z)) |
(*.f64 y (-.f64 #s(literal 0 binary64) z)) |
(* y (+ (* -1 z) (* -1/2 y))) |
(*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) |
(* y (+ (* -1 z) (* -1/2 y))) |
(*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) |
(* y (+ (* -1 z) (* -1/2 y))) |
(*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) |
(* -1/2 (pow y 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(* -1/2 (pow y 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(* -1/2 (pow y 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(+ (* -1 (* y z)) (* -1/2 (pow y 2))) |
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(pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) |
(pow (- (cos y) (* z (sin y))) 2) |
(pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(+ (* -2 (* z (* (cos y) (sin y)))) (pow (cos y) 2)) |
(+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 y) (sin.f64 y)) (*.f64 z #s(literal -2 binary64)))) |
(+ (* z (+ (* -2 (* (cos y) (sin y))) (* z (pow (sin y) 2)))) (pow (cos y) 2)) |
(+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z (+.f64 (*.f64 (cos.f64 y) (*.f64 (sin.f64 y) #s(literal -2 binary64))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) |
(+ (* z (+ (* -2 (* (cos y) (sin y))) (* z (pow (sin y) 2)))) (pow (cos y) 2)) |
(+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z (+.f64 (*.f64 (cos.f64 y) (*.f64 (sin.f64 y) #s(literal -2 binary64))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) |
(* (pow z 2) (pow (sin y) 2)) |
(*.f64 z (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(* (pow z 2) (+ (* -2 (/ (* (cos y) (sin y)) z)) (pow (sin y) 2))) |
(*.f64 (*.f64 z z) (+.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 y) z)))) |
(* (pow z 2) (+ (* -2 (/ (* (cos y) (sin y)) z)) (+ (/ (pow (cos y) 2) (pow z 2)) (pow (sin y) 2)))) |
(*.f64 (*.f64 z z) (+.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 y) z)) (+.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z))))) |
(* (pow z 2) (+ (* -2 (/ (* (cos y) (sin y)) z)) (+ (/ (pow (cos y) 2) (pow z 2)) (pow (sin y) 2)))) |
(*.f64 (*.f64 z z) (+.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 y) z)) (+.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z))))) |
(* (pow z 2) (pow (sin y) 2)) |
(*.f64 z (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(* (pow z 2) (+ (* -2 (/ (* (cos y) (sin y)) z)) (pow (sin y) 2))) |
(*.f64 (*.f64 z z) (+.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 y) z)))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow (cos y) 2) z)) (* 2 (* (cos y) (sin y)))) z)) (pow (sin y) 2))) |
(*.f64 z (*.f64 z (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 #s(literal 2 binary64) (sin.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) z)))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow (cos y) 2) z)) (* 2 (* (cos y) (sin y)))) z)) (pow (sin y) 2))) |
(*.f64 z (*.f64 z (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 #s(literal 2 binary64) (sin.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) z)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y z))) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (* -1 (* z (sin y)))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(* z (- (/ (cos y) z) (sin y))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* z (- (/ (cos y) z) (sin y))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* z (- (/ (cos y) z) (sin y))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* -1 (* z (sin y))) |
(*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
Compiled 45964 to 2769 computations (94% saved)
26 alts after pruning (24 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1371 | 20 | 1391 |
| Fresh | 4 | 4 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1378 | 26 | 1404 |
| Status | Accuracy | Program |
|---|---|---|
| 55.3% | (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (sin.f64 y)) (/.f64 z (sin.f64 y)) x) | |
| 12.9% | (/.f64 (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) | |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))))) |
| 60.2% | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) | |
| 56.1% | (-.f64 x (*.f64 z (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (sin.f64 y)))) | |
| ▶ | 33.4% | (-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) |
| 36.2% | (-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))) | |
| ✓ | 63.9% | (-.f64 x (*.f64 z (sin.f64 y))) |
| 42.3% | (-.f64 x (*.f64 z y)) | |
| 33.4% | (-.f64 x (*.f64 y (+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) | |
| 34.3% | (-.f64 x (*.f64 y (+.f64 z (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))) | |
| 25.9% | (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) x))) (*.f64 y (+.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (*.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 z (-.f64 #s(literal 1 binary64) x))))))))) | |
| 52.2% | (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))) | |
| 76.0% | (+.f64 (cos.f64 y) x) | |
| 36.2% | (+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) | |
| ▶ | 58.3% | (+.f64 x #s(literal 1 binary64)) |
| 59.8% | (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))) | |
| ▶ | 26.8% | (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
| 49.1% | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (/.f64 y x))))) | |
| 6.6% | (*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) | |
| 51.5% | (*.f64 z (-.f64 (/.f64 x z) (sin.f64 y))) | |
| 87.4% | (*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) | |
| 10.5% | (*.f64 y (-.f64 #s(literal 0 binary64) z)) | |
| ▶ | 93.6% | (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
| 2.8% | (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) | |
| ✓ | 40.7% | x |
Compiled 907 to 533 computations (41.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
| ✓ | cost-diff | 256 | (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))) |
| ✓ | cost-diff | 0 | (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))) |
| ✓ | cost-diff | 0 | (-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
| ✓ | cost-diff | 0 | (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))))) |
| 9186× | accelerator-lowering-fma.f32 |
| 9186× | accelerator-lowering-fma.f64 |
| 2886× | *-lowering-*.f32 |
| 2886× | *-lowering-*.f64 |
| 2796× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 288 |
| 1 | 110 | 288 |
| 2 | 313 | 282 |
| 3 | 1095 | 282 |
| 4 | 3620 | 282 |
| 5 | 6645 | 282 |
| 0 | 8125 | 262 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ 1 (+ (cos y) (- x (* (sin y) z))))) |
1 |
(/ 1 (+ (cos y) (- x (* (sin y) z)))) |
(+ (cos y) (- x (* (sin y) z))) |
(cos y) |
y |
(- x (* (sin y) z)) |
x |
(* (sin y) z) |
(sin y) |
z |
(+ x 1) |
x |
1 |
(+ 1 (* y (- (* y -1/2) z))) |
1 |
(* y (- (* y -1/2) z)) |
y |
(- (* y -1/2) z) |
(* y -1/2) |
-1/2 |
z |
(- x (* z (* y (+ 1 (* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040)))))))))) |
x |
(* z (* y (+ 1 (* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040))))))))) |
z |
(* y (+ 1 (* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040)))))))) |
y |
(+ 1 (* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040))))))) |
1 |
(* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040)))))) |
(* y y) |
(+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040))))) |
-1/6 |
(* y (* y (+ 1/120 (* (* y y) -1/5040)))) |
(* y (+ 1/120 (* (* y y) -1/5040))) |
(+ 1/120 (* (* y y) -1/5040)) |
1/120 |
(* (* y y) -1/5040) |
-1/5040 |
(* x (+ 1 (/ (- (cos y) (* z (sin y))) x))) |
x |
(+ 1 (/ (- (cos y) (* z (sin y))) x)) |
1 |
(/ (- (cos y) (* z (sin y))) x) |
(- (cos y) (* z (sin y))) |
(cos y) |
y |
(* z (sin y)) |
z |
(sin y) |
| Outputs |
|---|
(/ 1 (/ 1 (+ (cos y) (- x (* (sin y) z))))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) |
1 |
#s(literal 1 binary64) |
(/ 1 (+ (cos y) (- x (* (sin y) z)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))) |
(+ (cos y) (- x (* (sin y) z))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) |
(cos y) |
(cos.f64 y) |
y |
(- x (* (sin y) z)) |
(-.f64 x (*.f64 (sin.f64 y) z)) |
x |
(* (sin y) z) |
(*.f64 (sin.f64 y) z) |
(sin y) |
(sin.f64 y) |
z |
(+ x 1) |
(+.f64 #s(literal 1 binary64) x) |
x |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- (* y -1/2) z))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
1 |
#s(literal 1 binary64) |
(* y (- (* y -1/2) z)) |
(*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) |
y |
(- (* y -1/2) z) |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(* y -1/2) |
(*.f64 y #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
z |
(- x (* z (* y (+ 1 (* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040)))))))))) |
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))) (*.f64 y z))) |
x |
(* z (* y (+ 1 (* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040))))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))) (*.f64 y z)) |
z |
(* y (+ 1 (* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040)))))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))) |
y |
(+ 1 (* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))) |
1 |
#s(literal 1 binary64) |
(* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040)))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))) |
(* y y) |
(*.f64 y y) |
(+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040))))) |
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) |
-1/6 |
#s(literal -1/6 binary64) |
(* y (* y (+ 1/120 (* (* y y) -1/5040)))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) |
(* y (+ 1/120 (* (* y y) -1/5040))) |
(*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) |
(+ 1/120 (* (* y y) -1/5040)) |
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) |
1/120 |
#s(literal 1/120 binary64) |
(* (* y y) -1/5040) |
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) |
-1/5040 |
#s(literal -1/5040 binary64) |
(* x (+ 1 (/ (- (cos y) (* z (sin y))) x))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) |
x |
(+ 1 (/ (- (cos y) (* z (sin y))) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) x)) |
1 |
#s(literal 1 binary64) |
(/ (- (cos y) (* z (sin y))) x) |
(/.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) x) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(cos y) |
(cos.f64 y) |
y |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin y) |
(sin.f64 y) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
| ✓ | accuracy | 99.8% | (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 93.6% | (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
| ✓ | accuracy | 99.8% | (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) |
| ✓ | accuracy | 97.1% | (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 x (*.f64 (sin.f64 y) z)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 y) z) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))))) |
| 160.0ms | 256× | 0 | valid |
Compiled 300 to 37 computations (87.7% saved)
ival-mult: 22.0ms (33.6% of total)...c/correct-round.rkt:119:19: 12.0ms (18.3% of total)ival-add: 8.0ms (12.2% of total)ival-cos: 7.0ms (10.7% of total)ival-sin: 6.0ms (9.2% of total)ival-div: 5.0ms (7.6% of total)ival-sub: 5.0ms (7.6% of total)const: 1.0ms (1.5% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (/ 1 (+ (cos y) (- x (* (sin y) z)))))> |
#<alt (/ 1 (+ (cos y) (- x (* (sin y) z))))> |
#<alt (+ (cos y) (- x (* (sin y) z)))> |
#<alt (cos y)> |
#<alt (+ x 1)> |
#<alt (+ 1 (* y (- (* y -1/2) z)))> |
#<alt (* y (- (* y -1/2) z))> |
#<alt (- (* y -1/2) z)> |
#<alt (* y -1/2)> |
#<alt (- x (* z (* y (+ 1 (* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040))))))))))> |
#<alt (* z (* y (+ 1 (* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040)))))))))> |
#<alt (* y (+ 1 (* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040))))))))> |
#<alt (+ 1 (* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040)))))))> |
#<alt (* x (+ 1 (/ (- (cos y) (* z (sin y))) x)))> |
#<alt (+ 1 (/ (- (cos y) (* z (sin y))) x))> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (* (sin y) z)> |
#<alt (- x (* (sin y) z))> |
#<alt (* (* y y) -1/5040)> |
#<alt (* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040))))))> |
#<alt (* y (* y (+ 1/120 (* (* y y) -1/5040))))> |
#<alt (* z (sin y))> |
| Outputs |
|---|
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (/ 1 (+ 1 x))> |
#<alt (+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))> |
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))> |
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))> |
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))> |
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))> |
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))> |
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))> |
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))> |
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))> |
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))> |
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))> |
#<alt (/ 1 (- (cos y) (* z (sin y))))> |
#<alt (+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 2))) (/ 1 (- (cos y) (* z (sin y)))))> |
#<alt (+ (* x (- (/ x (pow (- (cos y) (* z (sin y))) 3)) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))> |
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 4))) (/ 1 (pow (- (cos y) (* z (sin y))) 3)))) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))> |
#<alt (/ 1 x)> |
#<alt (/ (- (+ 1 (/ (* z (sin y)) x)) (/ (cos y) x)) x)> |
#<alt (/ (- (+ 1 (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2))) (/ (* z (sin y)) x))) (/ (cos y) x)) x)> |
#<alt (/ (- (+ 1 (+ (/ (* z (sin y)) x) (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) (pow x 3)))) (+ (/ (cos y) x) (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2)))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (* -1 (/ (- (* z (sin y)) (cos y)) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) x)) (* z (sin y))) (cos y)) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) x)) (* -1 (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))))) x)) (* z (sin y))) (cos y)) x)) 1) x))> |
#<alt (/ 1 (+ x (cos y)))> |
#<alt (+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2)))> |
#<alt (+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))> |
#<alt (+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)> |
#<alt (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z)> |
#<alt (/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z)> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (* -1 (/ (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y)))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y)))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* y z)))> |
#<alt (+ 1 (* y (+ (* -1 z) (* -1/2 y))))> |
#<alt (+ 1 (* y (+ (* -1 z) (* -1/2 y))))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ (- z (/ 1 y)) y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ (- z (/ 1 y)) y)) 1/2))> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (+ (* -1 (* y z)) (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ (* -1 (* y z)) (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ (* -1 (* y z)) (* -1/2 (pow y 2))))> |
#<alt (* -1 (* y z))> |
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))))> |
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))))> |
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (* -1/2 (pow y 2))) z)))))> |
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (* -1/2 (pow y 2))) z)))))> |
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (* -1/2 (pow y 2))) z)))))> |
#<alt (* -1 (* y z))> |
#<alt (* y (+ (* -1 z) (* -1/2 y)))> |
#<alt (* y (+ (* -1 z) (* -1/2 y)))> |
#<alt (* y (+ (* -1 z) (* -1/2 y)))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (+ (* -1 (* y z)) (* -1/2 (pow y 2)))> |
#<alt (+ (* -1 (* y z)) (* -1/2 (pow y 2)))> |
#<alt (+ (* -1 (* y z)) (* -1/2 (pow y 2)))> |
#<alt (* -1 (* y z))> |
#<alt (* z (+ (* -1 y) (* -1/2 (/ (pow y 2) z))))> |
#<alt (* z (+ (* -1 y) (* -1/2 (/ (pow y 2) z))))> |
#<alt (* z (+ (* -1 y) (* -1/2 (/ (pow y 2) z))))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* z (+ y (* 1/2 (/ (pow y 2) z)))))> |
#<alt (* -1 (* z (+ y (* 1/2 (/ (pow y 2) z)))))> |
#<alt (* -1 (* z (+ y (* 1/2 (/ (pow y 2) z)))))> |
#<alt (* -1 z)> |
#<alt (- (* -1/2 y) z)> |
#<alt (- (* -1/2 y) z)> |
#<alt (- (* -1/2 y) z)> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* -1 (/ z y)) 1/2))> |
#<alt (* y (- (* -1 (/ z y)) 1/2))> |
#<alt (* y (- (* -1 (/ z y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (/ z y))))> |
#<alt (* -1 (* y (+ 1/2 (/ z y))))> |
#<alt (* -1 (* y (+ 1/2 (/ z y))))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1 z) (* -1/2 y))> |
#<alt (+ (* -1 z) (* -1/2 y))> |
#<alt (+ (* -1 z) (* -1/2 y))> |
#<alt (* -1 z)> |
#<alt (* z (- (* -1/2 (/ y z)) 1))> |
#<alt (* z (- (* -1/2 (/ y z)) 1))> |
#<alt (* z (- (* -1/2 (/ y z)) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* 1/2 (/ y z)))))> |
#<alt (* -1 (* z (+ 1 (* 1/2 (/ y z)))))> |
#<alt (* -1 (* z (+ 1 (* 1/2 (/ y z)))))> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))> |
#<alt (- x (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))> |
#<alt (- x (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))> |
#<alt (- x (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) x) 1)))> |
#<alt (* -1 (* x (- (/ (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) x) 1)))> |
#<alt (* -1 (* x (- (/ (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))))> |
#<alt (+ x (* -1 (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))))> |
#<alt (+ x (* -1 (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))))> |
#<alt (* -1 (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))> |
#<alt (* z (- (/ x z) (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))> |
#<alt (* z (- (/ x z) (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))> |
#<alt (* z (- (/ x z) (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))> |
#<alt (* -1 (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (- (* 1/6 (* (pow y 2) z)) z)))> |
#<alt (+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z)))> |
#<alt (* 1/5040 (* (pow y 7) z))> |
#<alt (* (pow y 7) (- (* -1/120 (/ z (pow y 2))) (* -1/5040 z)))> |
#<alt (* (pow y 7) (- (* 1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))> |
#<alt (* (pow y 7) (- (* -1 (/ z (pow y 6))) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))))> |
#<alt (* 1/5040 (* (pow y 7) z))> |
#<alt (* -1 (* (pow y 7) (- (* 1/120 (/ z (pow y 2))) (* 1/5040 z))))> |
#<alt (* -1 (* (pow y 7) (- (* -1/6 (/ z (pow y 4))) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))))> |
#<alt (* -1 (* (pow y 7) (- (/ z (pow y 6)) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* -1/5040 (* (pow y 7) z))> |
#<alt (* (pow y 7) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))> |
#<alt (* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))> |
#<alt (* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6))))))> |
#<alt (* -1/5040 (* (pow y 7) z))> |
#<alt (* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z))))> |
#<alt (* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))> |
#<alt (* -1 (* (pow y 7) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* -1/5040 (pow y 7))> |
#<alt (* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* (pow y 7) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* -1/5040 (pow y 7))> |
#<alt (* -1 (* (pow y 7) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))> |
#<alt (* -1/5040 (pow y 6))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* -1/5040 (pow y 6))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (+ (* -1 (* y z)) (* x (+ 1 (/ 1 x))))> |
#<alt (+ (* x (+ 1 (/ 1 x))) (* y (+ (* -1 z) (* -1/2 y))))> |
#<alt (+ (* x (+ 1 (/ 1 x))) (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x))))> |
#<alt (+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x))))> |
#<alt (+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z)))> |
#<alt (* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z)))> |
#<alt (* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z)))))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z)))))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z)))))> |
#<alt (+ 1 (/ 1 x))> |
#<alt (+ 1 (+ (* -1 (/ (* y z) x)) (/ 1 x)))> |
#<alt (+ 1 (+ (* y (- (* -1/2 (/ y x)) (/ z x))) (/ 1 x)))> |
#<alt (+ 1 (+ (* y (- (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))) (/ z x))) (/ 1 x)))> |
#<alt (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))> |
#<alt (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))> |
#<alt (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))> |
#<alt (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))> |
#<alt (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))> |
#<alt (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))> |
#<alt (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))> |
#<alt (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))> |
#<alt (+ 1 (/ (cos y) x))> |
#<alt (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))> |
#<alt (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))> |
#<alt (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))> |
#<alt (* -1 (/ (* z (sin y)) x))> |
#<alt (* z (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))> |
#<alt (* z (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))> |
#<alt (* z (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))> |
#<alt (* -1 (/ (* z (sin y)) x))> |
#<alt (* -1 (* z (- (* -1 (/ (+ 1 (/ (cos y) x)) z)) (* -1 (/ (sin y) x)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ 1 (/ (cos y) x)) z)) (* -1 (/ (sin y) x)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ 1 (/ (cos y) x)) z)) (* -1 (/ (sin y) x)))))> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (+ x (cos y)) (* z (sin y))) x)> |
#<alt (/ (- (+ x (cos y)) (* z (sin y))) x)> |
#<alt (/ (- (+ x (cos y)) (* z (sin y))) x)> |
#<alt 1> |
#<alt (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))> |
#<alt (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))> |
#<alt (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))> |
#<alt 1> |
#<alt (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))> |
#<alt (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))> |
#<alt (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))> |
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ (* y z) x)) (/ 1 x))> |
#<alt (+ (* y (+ (* -1 (/ z x)) (* -1/2 (/ y x)))) (/ 1 x))> |
#<alt (+ (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))))) (/ 1 x))> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (cos y) x)> |
#<alt (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))> |
#<alt (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))> |
#<alt (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))> |
#<alt (* -1 (/ (* z (sin y)) x))> |
#<alt (* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))))> |
#<alt (* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))))> |
#<alt (* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))))> |
#<alt (* -1 (/ (* z (sin y)) x))> |
#<alt (* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x))))> |
#<alt (* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x))))> |
#<alt (* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x))))> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt 1> |
#<alt (+ 1 (* -1 (* y z)))> |
#<alt (+ 1 (* y (- (* -1/2 y) z)))> |
#<alt (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (cos y)> |
#<alt (+ (cos y) (* -1 (* z (sin y))))> |
#<alt (+ (cos y) (* -1 (* z (sin y))))> |
#<alt (+ (cos y) (* -1 (* z (sin y))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (- x (* z (sin y)))> |
#<alt (- x (* z (sin y)))> |
#<alt (- x (* z (sin y)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* z (sin y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ (* z (sin y)) x) 1)))> |
#<alt (* -1 (* x (- (/ (* z (sin y)) x) 1)))> |
#<alt (* -1 (* x (- (/ (* z (sin y)) x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (- (* 1/6 (* (pow y 2) z)) z)))> |
#<alt (+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z)))> |
#<alt (- x (* z (sin y)))> |
#<alt (- x (* z (sin y)))> |
#<alt (- x (* z (sin y)))> |
#<alt (- x (* z (sin y)))> |
#<alt (- x (* z (sin y)))> |
#<alt (- x (* z (sin y)))> |
#<alt (- x (* z (sin y)))> |
#<alt (- x (* z (sin y)))> |
#<alt x> |
#<alt (+ x (* -1 (* z (sin y))))> |
#<alt (+ x (* -1 (* z (sin y))))> |
#<alt (+ x (* -1 (* z (sin y))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (/ x z) (sin y)))> |
#<alt (* z (- (/ x z) (sin y)))> |
#<alt (* z (- (/ x z) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))> |
#<alt (* -1/5040 (pow y 2))> |
#<alt (* -1/5040 (pow y 2))> |
#<alt (* -1/5040 (pow y 2))> |
#<alt (* -1/5040 (pow y 2))> |
#<alt (* -1/5040 (pow y 2))> |
#<alt (* -1/5040 (pow y 2))> |
#<alt (* -1/5040 (pow y 2))> |
#<alt (* -1/5040 (pow y 2))> |
#<alt (* -1/5040 (pow y 2))> |
#<alt (* -1/5040 (pow y 2))> |
#<alt (* -1/5040 (pow y 2))> |
#<alt (* -1/5040 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))> |
#<alt (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))> |
#<alt (* -1/5040 (pow y 6))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* -1/5040 (pow y 6))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* 1/120 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))> |
#<alt (* -1/5040 (pow y 4))> |
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* -1/5040 (pow y 4))> |
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
138 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | -inf | (* x (+ 1 (/ (- (cos y) (* z (sin y))) x))) |
| 3.0ms | z | @ | 0 | (/ 1 (+ (cos y) (- x (* (sin y) z)))) |
| 2.0ms | z | @ | 0 | (* x (+ 1 (/ (- (cos y) (* z (sin y))) x))) |
| 1.0ms | x | @ | 0 | (- x (* z (* y (+ 1 (* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040)))))))))) |
| 1.0ms | x | @ | inf | (/ 1 (+ (cos y) (- x (* (sin y) z)))) |
| 1× | batch-egg-rewrite |
| 5386× | *-lowering-*.f32 |
| 5386× | *-lowering-*.f64 |
| 4910× | accelerator-lowering-fma.f32 |
| 4910× | accelerator-lowering-fma.f64 |
| 4536× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 233 |
| 1 | 262 | 233 |
| 2 | 2256 | 225 |
| 0 | 9912 | 208 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ 1 (+ (cos y) (- x (* (sin y) z))))) |
(/ 1 (+ (cos y) (- x (* (sin y) z)))) |
(+ (cos y) (- x (* (sin y) z))) |
(cos y) |
(+ x 1) |
(+ 1 (* y (- (* y -1/2) z))) |
(* y (- (* y -1/2) z)) |
(- (* y -1/2) z) |
(* y -1/2) |
(- x (* z (* y (+ 1 (* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040)))))))))) |
(* z (* y (+ 1 (* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040))))))))) |
(* y (+ 1 (* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040)))))))) |
(+ 1 (* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040))))))) |
(* x (+ 1 (/ (- (cos y) (* z (sin y))) x))) |
(+ 1 (/ (- (cos y) (* z (sin y))) x)) |
(/ (- (cos y) (* z (sin y))) x) |
(- (cos y) (* z (sin y))) |
(* (sin y) z) |
(- x (* (sin y) z)) |
(* (* y y) -1/5040) |
(* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040)))))) |
(* y (* y (+ 1/120 (* (* y y) -1/5040)))) |
(* z (sin y)) |
| Outputs |
|---|
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) |
(+.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (cos.f64 y)) |
(+.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sin.f64 y) z)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sin.f64 y) z))) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 1 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))) #s(literal 1 binary64))) |
(-.f64 x (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))) #s(literal -1 binary64))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) |
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (+.f64 (-.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))) (/.f64 (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (+.f64 (-.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))) |
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64))) |
(-.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (+.f64 (-.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (+.f64 (-.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (+.f64 (cos.f64 y) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))) (/.f64 (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (+.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (+.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (cos.f64 y))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (cos.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (+.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (+.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sin.f64 y) z)))) |
(fma.f64 #s(literal 1 binary64) x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) |
(fma.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sin.f64 y) z)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) |
(fma.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 1 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 x (*.f64 (sin.f64 y) z))))) (cos.f64 y)) |
(fma.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sin.f64 y) z))) (cos.f64 y)) |
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (-.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (cos.f64 y)))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (-.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (cos.f64 y)))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (-.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (cos.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (-.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (cos.f64 y)))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (+.f64 (-.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (-.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (cos.f64 y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (-.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (cos.f64 y))))))) |
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))) |
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))))) |
(/.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 2 binary64)) (+.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (cos.f64 y))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (+.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (-.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (cos.f64 y))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (+.f64 (-.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (+.f64 (-.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))) (*.f64 (+.f64 (-.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (*.f64 (+.f64 (-.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) (+.f64 (-.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (-.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (cos.f64 y))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (+.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (neg.f64 (-.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (cos.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (neg.f64 (+.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))) |
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(fma.f64 (*.f64 y #s(literal 1/120 binary64)) y (*.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) y)) |
(/.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64))))) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) |
(/.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)))) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))))) (neg.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) (*.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y #s(literal 1/120 binary64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) y) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 y #s(literal 1/120 binary64)) y) (*.f64 (*.f64 y #s(literal 1/120 binary64)) y)) (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) y) (*.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) y)) (*.f64 (*.f64 (*.f64 y #s(literal 1/120 binary64)) y) (*.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (*.f64 y y))) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (*.f64 y y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (*.f64 y y))) (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (*.f64 y y)) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))))) |
(*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) |
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) (*.f64 y y)) |
(*.f64 (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) y) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
| 1× | egg-herbie |
| 8552× | accelerator-lowering-fma.f32 |
| 8552× | accelerator-lowering-fma.f64 |
| 4942× | *-lowering-*.f32 |
| 4942× | *-lowering-*.f64 |
| 3702× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 530 | 6193 |
| 1 | 1633 | 6097 |
| 2 | 5035 | 5876 |
| 0 | 8434 | 5646 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 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)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(/ 1 (+ 1 x)) |
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/ 1 (- (cos y) (* z (sin y)))) |
(+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 2))) (/ 1 (- (cos y) (* z (sin y))))) |
(+ (* x (- (/ x (pow (- (cos y) (* z (sin y))) 3)) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 4))) (/ 1 (pow (- (cos y) (* z (sin y))) 3)))) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y))))) |
(/ 1 x) |
(/ (- (+ 1 (/ (* z (sin y)) x)) (/ (cos y) x)) x) |
(/ (- (+ 1 (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2))) (/ (* z (sin y)) x))) (/ (cos y) x)) x) |
(/ (- (+ 1 (+ (/ (* z (sin y)) x) (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) (pow x 3)))) (+ (/ (cos y) x) (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2)))) x) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ (- (* z (sin y)) (cos y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) x)) (* z (sin y))) (cos y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) x)) (* -1 (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))))) x)) (* z (sin y))) (cos y)) x)) 1) x)) |
(/ 1 (+ x (cos y))) |
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(/ -1 (* z (sin y))) |
(/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z) |
(/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z) |
(/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z) |
(/ -1 (* z (sin y))) |
(* -1 (/ (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y)))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y)))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* y (+ (* -1 z) (* -1/2 y)))) |
(+ 1 (* y (+ (* -1 z) (* -1/2 y)))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (/ 1 (pow y 2))) 1/2)) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (- z (/ 1 y)) y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (- z (/ 1 y)) y)) 1/2)) |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (+ (* -1 (* y z)) (* -1/2 (pow y 2)))) |
(+ 1 (+ (* -1 (* y z)) (* -1/2 (pow y 2)))) |
(+ 1 (+ (* -1 (* y z)) (* -1/2 (pow y 2)))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))) |
(* -1 (* y z)) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (* -1/2 (pow y 2))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (* -1/2 (pow y 2))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (* -1/2 (pow y 2))) z))))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (* -1/2 y))) |
(* y (+ (* -1 z) (* -1/2 y))) |
(* y (+ (* -1 z) (* -1/2 y))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* -1/2 (pow y 2)) |
(+ (* -1 (* y z)) (* -1/2 (pow y 2))) |
(+ (* -1 (* y z)) (* -1/2 (pow y 2))) |
(+ (* -1 (* y z)) (* -1/2 (pow y 2))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (* -1/2 (/ (pow y 2) z)))) |
(* z (+ (* -1 y) (* -1/2 (/ (pow y 2) z)))) |
(* z (+ (* -1 y) (* -1/2 (/ (pow y 2) z)))) |
(* -1 (* y z)) |
(* -1 (* z (+ y (* 1/2 (/ (pow y 2) z))))) |
(* -1 (* z (+ y (* 1/2 (/ (pow y 2) z))))) |
(* -1 (* z (+ y (* 1/2 (/ (pow y 2) z))))) |
(* -1 z) |
(- (* -1/2 y) z) |
(- (* -1/2 y) z) |
(- (* -1/2 y) z) |
(* -1/2 y) |
(* y (- (* -1 (/ z y)) 1/2)) |
(* y (- (* -1 (/ z y)) 1/2)) |
(* y (- (* -1 (/ z y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(* -1/2 y) |
(+ (* -1 z) (* -1/2 y)) |
(+ (* -1 z) (* -1/2 y)) |
(+ (* -1 z) (* -1/2 y)) |
(* -1 z) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1 (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(- x (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(- x (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(- x (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
x |
(* x (+ 1 (* -1 (/ (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) x)))) |
(* x (+ 1 (* -1 (/ (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) x)))) |
(* x (+ 1 (* -1 (/ (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) x)))) |
x |
(* -1 (* x (- (/ (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) x) 1))) |
(* -1 (* x (- (/ (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) x) 1))) |
(* -1 (* x (- (/ (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) x) 1))) |
x |
(+ x (* -1 (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))) |
(+ x (* -1 (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))) |
(+ x (* -1 (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))) |
(* -1 (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(* z (- (/ x z) (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(* z (- (/ x z) (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(* z (- (/ x z) (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(* -1 (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))) |
(* 1/5040 (* (pow y 7) z)) |
(* (pow y 7) (- (* -1/120 (/ z (pow y 2))) (* -1/5040 z))) |
(* (pow y 7) (- (* 1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))) |
(* (pow y 7) (- (* -1 (/ z (pow y 6))) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))) |
(* 1/5040 (* (pow y 7) z)) |
(* -1 (* (pow y 7) (- (* 1/120 (/ z (pow y 2))) (* 1/5040 z)))) |
(* -1 (* (pow y 7) (- (* -1/6 (/ z (pow y 4))) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z))))) |
(* -1 (* (pow y 7) (- (/ z (pow y 6)) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))) |
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
(* 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))))))) |
(* -1/5040 (* (pow y 7) z)) |
(* (pow y 7) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))) |
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))) |
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6)))))) |
(* -1/5040 (* (pow y 7) z)) |
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))) |
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))) |
(* -1 (* (pow y 7) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))) |
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)))) |
(* -1/5040 (pow y 7)) |
(* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 7) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* -1/5040 (pow y 7)) |
(* -1 (* (pow y 7) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))) |
(* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2)))))) |
(* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* -1/5040 (pow y 6)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* -1/5040 (pow y 6)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* x (+ 1 (/ 1 x))) |
(+ (* -1 (* y z)) (* x (+ 1 (/ 1 x)))) |
(+ (* x (+ 1 (/ 1 x))) (* y (+ (* -1 z) (* -1/2 y)))) |
(+ (* x (+ 1 (/ 1 x))) (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (+ 1 (/ (cos y) x))) |
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) |
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) |
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z))))) |
(+ 1 (/ 1 x)) |
(+ 1 (+ (* -1 (/ (* y z) x)) (/ 1 x))) |
(+ 1 (+ (* y (- (* -1/2 (/ y x)) (/ z x))) (/ 1 x))) |
(+ 1 (+ (* y (- (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))) (/ z x))) (/ 1 x))) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(+ 1 (/ (cos y) x)) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(* -1 (/ (* z (sin y)) x)) |
(* z (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(* z (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(* z (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(* -1 (/ (* z (sin y)) x)) |
(* -1 (* z (- (* -1 (/ (+ 1 (/ (cos y) x)) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (- (* -1 (/ (+ 1 (/ (cos y) x)) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (- (* -1 (/ (+ 1 (/ (cos y) x)) z)) (* -1 (/ (sin y) x))))) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (- (+ x (cos y)) (* z (sin y))) x) |
(/ (- (+ x (cos y)) (* z (sin y))) x) |
(/ (- (+ x (cos y)) (* z (sin y))) x) |
1 |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
1 |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(/ 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)) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (cos y) x) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(* -1 (/ (* z (sin y)) x)) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(* -1 (/ (* z (sin y)) x)) |
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (- (cos y) (* z (sin y))) x) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(cos y) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(* -1 (* z (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y))))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (sin y))) |
(- x (* z (sin y))) |
(- x (* z (sin y))) |
(- x (* z (sin y))) |
x |
(* x (+ 1 (* -1 (/ (* z (sin y)) x)))) |
(* x (+ 1 (* -1 (/ (* z (sin y)) x)))) |
(* x (+ 1 (* -1 (/ (* z (sin y)) x)))) |
x |
(* -1 (* x (- (/ (* z (sin y)) x) 1))) |
(* -1 (* x (- (/ (* z (sin y)) x) 1))) |
(* -1 (* x (- (/ (* z (sin y)) x) 1))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))) |
(- x (* z (sin y))) |
(- x (* z (sin y))) |
(- x (* z (sin y))) |
(- x (* z (sin y))) |
(- x (* z (sin y))) |
(- x (* z (sin y))) |
(- x (* z (sin y))) |
(- x (* z (sin y))) |
x |
(+ x (* -1 (* z (sin y)))) |
(+ x (* -1 (* z (sin y)))) |
(+ x (* -1 (* z (sin y)))) |
(* -1 (* z (sin y))) |
(* z (- (/ x z) (sin y))) |
(* z (- (/ x z) (sin y))) |
(* z (- (/ x z) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y))))) |
(* -1/5040 (pow y 2)) |
(* -1/5040 (pow y 2)) |
(* -1/5040 (pow y 2)) |
(* -1/5040 (pow y 2)) |
(* -1/5040 (pow y 2)) |
(* -1/5040 (pow y 2)) |
(* -1/5040 (pow y 2)) |
(* -1/5040 (pow y 2)) |
(* -1/5040 (pow y 2)) |
(* -1/5040 (pow y 2)) |
(* -1/5040 (pow y 2)) |
(* -1/5040 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) |
(* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* -1/5040 (pow y 6)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* -1/5040 (pow y 6)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) |
(* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) |
(* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) |
(* -1/5040 (pow y 4)) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* -1/5040 (pow y 4)) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
| Outputs |
|---|
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64))))) z))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
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(-.f64 x (*.f64 z (sin.f64 y))) |
(- x (* z (sin y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(- x (* z (sin y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(- x (* z (sin y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(- x (* z (sin y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(- x (* z (sin y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(- x (* z (sin y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(- x (* z (sin y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
x |
(+ x (* -1 (* z (sin y)))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(+ x (* -1 (* z (sin y)))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(+ x (* -1 (* z (sin y)))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(* z (- (/ x z) (sin y))) |
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y))) |
(* z (- (/ x z) (sin y))) |
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y))) |
(* z (- (/ x z) (sin y))) |
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y))) |
(* -1 (* z (sin y))) |
(*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y))) |
(* -1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) |
(* -1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) |
(* -1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) |
(* -1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) |
(* -1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) |
(* -1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) |
(* -1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) |
(* -1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) |
(* -1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) |
(* -1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) |
(* -1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) |
(* -1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))) |
(* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))) |
(* -1/5040 (pow y 6)) |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) |
(* -1/5040 (pow y 6)) |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) |
(* 1/120 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) |
(* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) |
(* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) |
(* -1/5040 (pow y 4)) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(* -1/5040 (pow y 4)) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* y z) |
(*.f64 y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 y (+.f64 z (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(*.f64 y (+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 (*.f64 y (*.f64 y z)) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
Compiled 36136 to 3351 computations (90.7% saved)
37 alts after pruning (33 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1285 | 20 | 1305 |
| Fresh | 6 | 13 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1294 | 37 | 1331 |
| Status | Accuracy | Program |
|---|---|---|
| 55.3% | (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (sin.f64 y)) (/.f64 z (sin.f64 y)) x) | |
| 69.6% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) x))) | |
| 12.9% | (/.f64 (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) | |
| ▶ | 58.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
| 40.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| ▶ | 25.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) |
| ▶ | 51.6% | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
| 60.2% | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) | |
| 33.4% | (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))) (*.f64 y z))) | |
| 36.2% | (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y z))) | |
| 56.1% | (-.f64 x (*.f64 z (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (sin.f64 y)))) | |
| 33.4% | (-.f64 x (*.f64 z (*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))) | |
| 36.2% | (-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))) | |
| ✓ | 63.9% | (-.f64 x (*.f64 z (sin.f64 y))) |
| 42.3% | (-.f64 x (*.f64 z y)) | |
| 34.3% | (-.f64 x (*.f64 y (+.f64 z (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))) | |
| 27.7% | (-.f64 #s(literal 1 binary64) (*.f64 y z)) | |
| 52.2% | (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))) | |
| 76.0% | (+.f64 (cos.f64 y) x) | |
| ✓ | 58.3% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | 26.8% | (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
| 18.8% | (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) | |
| 49.1% | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (/.f64 y x))))) | |
| 21.0% | (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 y (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #s(literal 1 binary64)))))) | |
| 10.6% | (*.f64 (*.f64 y z) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) | |
| 6.6% | (*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) | |
| 51.5% | (*.f64 z (-.f64 (/.f64 x z) (sin.f64 y))) | |
| 87.4% | (*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) | |
| 10.5% | (*.f64 y (-.f64 #s(literal 0 binary64) z)) | |
| 2.8% | (*.f64 y (*.f64 y #s(literal -1/2 binary64))) | |
| ▶ | 88.6% | (*.f64 x (-.f64 (/.f64 (cos.f64 y) x) (-.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 1 binary64)))) |
| 19.4% | (*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))) | |
| 43.7% | (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 (*.f64 y (+.f64 (/.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) x) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 z x))))) | |
| 56.6% | (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x))) | |
| 58.2% | (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) | |
| ✓ | 40.7% | x |
| ▶ | 20.2% | #s(literal 1 binary64) |
Compiled 1139 to 715 computations (37.2% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 z (sin.f64 y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 256 | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | cost-diff | 384 | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 (cos.f64 y) x) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (cos.f64 y) x) (-.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 384 | (*.f64 x (-.f64 (/.f64 (cos.f64 y) x) (-.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 1 binary64)))) |
| 3666× | accelerator-lowering-fma.f32 |
| 3666× | accelerator-lowering-fma.f64 |
| 2566× | *-lowering-*.f32 |
| 2566× | *-lowering-*.f64 |
| 1876× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 162 |
| 1 | 50 | 161 |
| 2 | 117 | 157 |
| 3 | 266 | 153 |
| 4 | 577 | 146 |
| 5 | 1220 | 145 |
| 6 | 2514 | 145 |
| 7 | 5233 | 145 |
| 8 | 6965 | 145 |
| 9 | 7805 | 145 |
| 0 | 8006 | 140 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (- (/ (cos y) x) (- (* (sin y) (/ z x)) 1))) |
x |
(- (/ (cos y) x) (- (* (sin y) (/ z x)) 1)) |
(/ (cos y) x) |
(cos y) |
y |
(- (* (sin y) (/ z x)) 1) |
(* (sin y) (/ z x)) |
(sin y) |
(/ z x) |
z |
1 |
1 |
(/ 1 (/ 1 (+ 1 x))) |
1 |
(/ 1 (+ 1 x)) |
(+ 1 x) |
x |
(/ 1 (+ (/ 1 (+ 1 x)) (* (/ z (+ 1 x)) (/ y (+ 1 x))))) |
1 |
(+ (/ 1 (+ 1 x)) (* (/ z (+ 1 x)) (/ y (+ 1 x)))) |
(/ 1 (+ 1 x)) |
(+ 1 x) |
x |
(* (/ z (+ 1 x)) (/ y (+ 1 x))) |
(/ z (+ 1 x)) |
z |
(/ y (+ 1 x)) |
y |
(/ 1 (/ -1 (* z (sin y)))) |
1 |
(/ -1 (* z (sin y))) |
-1 |
(* z (sin y)) |
z |
(sin y) |
y |
| Outputs |
|---|
(* x (- (/ (cos y) x) (- (* (sin y) (/ z x)) 1))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))) |
x |
(- (/ (cos y) x) (- (* (sin y) (/ z x)) 1)) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) (/.f64 #s(literal 1 binary64) x))) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(cos y) |
(cos.f64 y) |
y |
(- (* (sin y) (/ z x)) 1) |
(+.f64 (/.f64 z (/.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(* (sin y) (/ z x)) |
(/.f64 z (/.f64 x (sin.f64 y))) |
(sin y) |
(sin.f64 y) |
(/ z x) |
(/.f64 z x) |
z |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
(/ 1 (/ 1 (+ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(/ 1 (+ 1 x)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(/ 1 (+ (/ 1 (+ 1 x)) (* (/ z (+ 1 x)) (/ y (+ 1 x))))) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (+.f64 x #s(literal 1 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ (/ 1 (+ 1 x)) (* (/ z (+ 1 x)) (/ y (+ 1 x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) |
(/ 1 (+ 1 x)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* (/ z (+ 1 x)) (/ y (+ 1 x))) |
(*.f64 (/.f64 z (+.f64 x #s(literal 1 binary64))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) |
(/ z (+ 1 x)) |
(/.f64 z (+.f64 x #s(literal 1 binary64))) |
z |
(/ y (+ 1 x)) |
(/.f64 y (+.f64 x #s(literal 1 binary64))) |
y |
(/ 1 (/ -1 (* z (sin y)))) |
(/.f64 z (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
1 |
#s(literal 1 binary64) |
(/ -1 (* z (sin y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) |
-1 |
#s(literal -1 binary64) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin y) |
(sin.f64 y) |
y |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) |
| ✓ | accuracy | 98.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) |
| ✓ | accuracy | 100.0% | (/.f64 z (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.5% | (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 (cos.f64 y) x) (-.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (/.f64 (cos.f64 y) x) |
| ✓ | accuracy | 94.8% | (*.f64 (sin.f64 y) (/.f64 z x)) |
| ✓ | accuracy | 93.6% | (*.f64 x (-.f64 (/.f64 (cos.f64 y) x) (-.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 1 binary64)))) |
| 88.0ms | 256× | 0 | valid |
Compiled 172 to 25 computations (85.5% saved)
ival-div: 16.0ms (35% of total)ival-mult: 10.0ms (21.9% of total)ival-cos: 8.0ms (17.5% of total)ival-sin: 6.0ms (13.1% of total)ival-sub: 3.0ms (6.6% of total)ival-add: 2.0ms (4.4% of total)const: 1.0ms (2.2% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (- (/ (cos y) x) (- (* (sin y) (/ z x)) 1)))> |
#<alt (- (/ (cos y) x) (- (* (sin y) (/ z x)) 1))> |
#<alt (/ (cos y) x)> |
#<alt (cos y)> |
#<alt (/ 1 (/ 1 (+ 1 x)))> |
#<alt (/ 1 (+ 1 x))> |
#<alt (+ 1 x)> |
#<alt (/ 1 (+ (/ 1 (+ 1 x)) (* (/ z (+ 1 x)) (/ y (+ 1 x)))))> |
#<alt (+ (/ 1 (+ 1 x)) (* (/ z (+ 1 x)) (/ y (+ 1 x))))> |
#<alt (/ 1 (/ -1 (* z (sin y))))> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (sin y)> |
#<alt (* (sin y) (/ z x))> |
#<alt (* (/ z (+ 1 x)) (/ y (+ 1 x)))> |
#<alt (/ z (+ 1 x))> |
| Outputs |
|---|
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) (+ 1 (* -1 (/ (* z (sin y)) x))))))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) (+ 1 (* -1 (/ (* z (sin y)) x))))))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) (+ 1 (* -1 (/ (* z (sin y)) x))))))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (+ (* -1 (* y z)) (* x (+ 1 (/ 1 x))))> |
#<alt (+ (* x (+ 1 (/ 1 x))) (* y (+ (* -1 z) (* -1/2 y))))> |
#<alt (+ (* x (+ 1 (/ 1 x))) (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x))))> |
#<alt (+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x))))> |
#<alt (+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z)))> |
#<alt (* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z)))> |
#<alt (* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z)))))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z)))))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z)))))> |
#<alt (+ 1 (/ 1 x))> |
#<alt (+ 1 (+ (* -1 (/ (* y z) x)) (/ 1 x)))> |
#<alt (+ 1 (+ (* y (- (* -1/2 (/ y x)) (/ z x))) (/ 1 x)))> |
#<alt (+ 1 (+ (* y (- (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))) (/ z x))) (/ 1 x)))> |
#<alt (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))> |
#<alt (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))> |
#<alt (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))> |
#<alt (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))> |
#<alt (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))> |
#<alt (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))> |
#<alt (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))> |
#<alt (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (+ x (cos y)) (* z (sin y))) x)> |
#<alt (/ (- (+ x (cos y)) (* z (sin y))) x)> |
#<alt (/ (- (+ x (cos y)) (* z (sin y))) x)> |
#<alt 1> |
#<alt (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))> |
#<alt (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))> |
#<alt (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (- (* -1 (cos y)) (* -1 (* z (sin y)))) x)))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (cos y)) (* -1 (* z (sin y)))) x)))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (cos y)) (* -1 (* z (sin y)))) x)))> |
#<alt (+ 1 (/ (cos y) x))> |
#<alt (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))> |
#<alt (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))> |
#<alt (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))> |
#<alt (* -1 (/ (* z (sin y)) x))> |
#<alt (* z (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))> |
#<alt (* z (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))> |
#<alt (* z (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))> |
#<alt (* -1 (/ (* z (sin y)) x))> |
#<alt (* -1 (* z (- (* -1 (/ (+ 1 (/ (cos y) x)) z)) (* -1 (/ (sin y) x)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ 1 (/ (cos y) x)) z)) (* -1 (/ (sin y) x)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ 1 (/ (cos y) x)) z)) (* -1 (/ (sin y) x)))))> |
#<alt (/ 1 x)> |
#<alt (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))> |
#<alt (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))> |
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- x 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))> |
#<alt (/ 1 x)> |
#<alt (/ (- 1 (/ 1 x)) x)> |
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)> |
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (/ 1 x) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (/ 1 (+ 1 (* y z)))> |
#<alt (+ (/ 1 (+ 1 (* y z))) (/ (* x (+ 1 (* 2 (* y z)))) (pow (+ 1 (* y z)) 2)))> |
#<alt (+ (* x (- (* x (- (+ (* -4 (/ (* y z) (pow (+ 1 (* y z)) 2))) (/ (* y z) (pow (+ 1 (* y z)) 2))) (+ (* -1 (/ (pow (+ 1 (* 2 (* y z))) 2) (pow (+ 1 (* y z)) 3))) (/ 1 (pow (+ 1 (* y z)) 2))))) (* -1 (/ (+ 1 (* 2 (* y z))) (pow (+ 1 (* y z)) 2))))) (/ 1 (+ 1 (* y z))))> |
#<alt (+ (* x (- (* x (- (+ (* -4 (/ (* y z) (pow (+ 1 (* y z)) 2))) (+ (* -1 (* x (+ (* -1 (/ (* (+ 1 (* 2 (* y z))) (- (+ (* -4 (/ (* y z) (pow (+ 1 (* y z)) 2))) (/ (* y z) (pow (+ 1 (* y z)) 2))) (+ (* -1 (/ (pow (+ 1 (* 2 (* y z))) 2) (pow (+ 1 (* y z)) 3))) (/ 1 (pow (+ 1 (* y z)) 2))))) (+ 1 (* y z)))) (+ (* -1 (/ (+ 1 (+ (* -2 (* y z)) (* -2 (+ (* -4 (* y z)) (* y z))))) (pow (+ 1 (* y z)) 2))) (/ (* (+ 1 (* 2 (* y z))) (- 1 (+ (* -4 (* y z)) (* y z)))) (pow (+ 1 (* y z)) 3)))))) (/ (* y z) (pow (+ 1 (* y z)) 2)))) (+ (* -1 (/ (pow (+ 1 (* 2 (* y z))) 2) (pow (+ 1 (* y z)) 3))) (/ 1 (pow (+ 1 (* y z)) 2))))) (* -1 (/ (+ 1 (* 2 (* y z))) (pow (+ 1 (* y z)) 2))))) (/ 1 (+ 1 (* y z))))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))> |
#<alt (* x (- (+ 1 (+ (* 2 (/ (* y z) (pow x 2))) (/ 1 x))) (+ (/ 1 (pow x 2)) (+ (/ (* y z) x) (/ (* (- 1 (* y z)) (- (* y z) 1)) (pow x 2))))))> |
#<alt (* x (- (+ 1 (+ (* -1 (/ (+ (* -1 (+ 1 (+ (* -4 (* y z)) (* y z)))) (+ (* (- 1 (* 2 (* y z))) (- 1 (* y z))) (* (- (* 2 (* y z)) (+ 1 (* (- 1 (* y z)) (- (* y z) 1)))) (- (* y z) 1)))) (pow x 3))) (+ (* 2 (/ (* y z) (pow x 2))) (/ 1 x)))) (+ (/ 1 (pow x 2)) (+ (/ (* y z) x) (/ (* (- 1 (* y z)) (- (* y z) 1)) (pow x 2))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* y z)) (- (* y z) 1)) x)) (* -1 (/ (+ 1 (* -2 (* y z))) x)))) (* y z)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ 1 (+ (* -4 (* y z)) (* y z))) x)) (+ (/ (* (+ 1 (* -2 (* y z))) (- 1 (* y z))) x) (/ (* (+ (* -1 (* (- 1 (* y z)) (- (* y z) 1))) (* -1 (+ 1 (* -2 (* y z))))) (- (* y z) 1)) x))) (+ (* -1 (* (- 1 (* y z)) (- (* y z) 1))) (* -1 (+ 1 (* -2 (* y z)))))) x))) (* y z)) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* z (- (/ (* (pow y 2) z) (+ 1 x)) y))))> |
#<alt (+ 1 (+ x (* z (- (* z (- (* -1 (/ (* (pow y 3) z) (pow (+ 1 x) 2))) (* -1 (/ (pow y 2) (+ 1 x))))) y))))> |
#<alt (/ (pow (+ 1 x) 2) (* y z))> |
#<alt (/ (+ (* -1 (/ (pow (+ 1 x) 3) (* (pow y 2) z))) (/ (pow (+ 1 x) 2) y)) z)> |
#<alt (/ (- (+ (/ (pow (+ 1 x) 2) y) (/ (pow (+ 1 x) 4) (* (pow y 3) (pow z 2)))) (/ (pow (+ 1 x) 3) (* (pow y 2) z))) z)> |
#<alt (/ (- (+ (* -1 (/ (pow (+ 1 x) 5) (* (pow y 4) (pow z 3)))) (/ (pow (+ 1 x) 2) y)) (+ (* -1 (/ (pow (+ 1 x) 4) (* (pow y 3) (pow z 2)))) (/ (pow (+ 1 x) 3) (* (pow y 2) z)))) z)> |
#<alt (/ (pow (+ 1 x) 2) (* y z))> |
#<alt (* -1 (/ (+ (* -1 (/ (pow (+ 1 x) 2) y)) (/ (pow (+ 1 x) 3) (* (pow y 2) z))) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (pow (+ 1 x) 4) (* (pow y 3) z)) (/ (pow (+ 1 x) 3) (pow y 2))) z)) (* -1 (/ (pow (+ 1 x) 2) y))) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 x) 5) (* (pow y 4) z)) (/ (pow (+ 1 x) 4) (pow y 3))) z)) (/ (pow (+ 1 x) 3) (pow y 2))) z)) (* -1 (/ (pow (+ 1 x) 2) y))) z))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (/ (* y (pow z 2)) (+ 1 x)) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* -1 (/ (* y (pow z 3)) (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (+ 1 x))))) z))))> |
#<alt (/ (pow (+ 1 x) 2) (* y z))> |
#<alt (/ (+ (* -1 (/ (pow (+ 1 x) 3) (* y (pow z 2)))) (/ (pow (+ 1 x) 2) z)) y)> |
#<alt (/ (- (+ (/ (pow (+ 1 x) 2) z) (/ (pow (+ 1 x) 4) (* (pow y 2) (pow z 3)))) (/ (pow (+ 1 x) 3) (* y (pow z 2)))) y)> |
#<alt (/ (- (+ (* -1 (/ (pow (+ 1 x) 5) (* (pow y 3) (pow z 4)))) (/ (pow (+ 1 x) 2) z)) (+ (* -1 (/ (pow (+ 1 x) 4) (* (pow y 2) (pow z 3)))) (/ (pow (+ 1 x) 3) (* y (pow z 2))))) y)> |
#<alt (/ (pow (+ 1 x) 2) (* y z))> |
#<alt (* -1 (/ (+ (* -1 (/ (pow (+ 1 x) 2) z)) (/ (pow (+ 1 x) 3) (* y (pow z 2)))) y))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (pow (+ 1 x) 4) (* y (pow z 3))) (/ (pow (+ 1 x) 3) (pow z 2))) y)) (* -1 (/ (pow (+ 1 x) 2) z))) y))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 x) 5) (* y (pow z 4))) (/ (pow (+ 1 x) 4) (pow z 3))) y)) (/ (pow (+ 1 x) 3) (pow z 2))) y)) (* -1 (/ (pow (+ 1 x) 2) z))) y))> |
#<alt (+ 1 (* y z))> |
#<alt (+ 1 (+ (* -1 (* x (+ 1 (* 2 (* y z))))) (* y z)))> |
#<alt (+ 1 (+ (* x (- (* x (- 1 (+ (* -4 (* y z)) (* y z)))) (+ 1 (* 2 (* y z))))) (* y z)))> |
#<alt (+ 1 (+ (* x (- (* x (- (+ 1 (* -1 (* x (+ 1 (+ (* -2 (* y z)) (* -2 (+ (* -4 (* y z)) (* y z)))))))) (+ (* -4 (* y z)) (* y z)))) (+ 1 (* 2 (* y z))))) (* y z)))> |
#<alt (/ 1 x)> |
#<alt (/ (- (+ 1 (/ (* y z) x)) (/ 1 x)) x)> |
#<alt (/ (- (+ 1 (+ (/ 1 (pow x 2)) (/ (* y z) x))) (+ (* 2 (/ (* y z) (pow x 2))) (/ 1 x))) x)> |
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ 1 (+ (* -4 (* y z)) (* y z))) (pow x 3))) (+ (/ 1 (pow x 2)) (/ (* y z) x)))) (+ (* 2 (/ (* y z) (pow x 2))) (/ 1 x))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (* -1 (/ (- (* y z) 1) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* y z) x)) (+ (* y z) (/ 1 x))) 1) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* y z) x)) (+ (/ 1 x) (/ (* y z) x))) (+ 1 (* -2 (* y z)))) x)) (* y z)) 1) x)) 1) x))> |
#<alt (/ 1 (+ 1 x))> |
#<alt (+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))> |
#<alt (+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))> |
#<alt (+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (* z (+ (/ 1 (* z (+ 1 x))) (/ y (pow (+ 1 x) 2))))> |
#<alt (* z (+ (/ 1 (* z (+ 1 x))) (/ y (pow (+ 1 x) 2))))> |
#<alt (* z (+ (/ 1 (* z (+ 1 x))) (/ y (pow (+ 1 x) 2))))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (* -1 (* z (- (* -1 (/ y (pow (+ 1 x) 2))) (/ 1 (* z (+ 1 x))))))> |
#<alt (* -1 (* z (- (* -1 (/ y (pow (+ 1 x) 2))) (/ 1 (* z (+ 1 x))))))> |
#<alt (* -1 (* z (- (* -1 (/ y (pow (+ 1 x) 2))) (/ 1 (* z (+ 1 x))))))> |
#<alt (/ 1 (+ 1 x))> |
#<alt (+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))> |
#<alt (+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))> |
#<alt (+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (* y (+ (/ 1 (* y (+ 1 x))) (/ z (pow (+ 1 x) 2))))> |
#<alt (* y (+ (/ 1 (* y (+ 1 x))) (/ z (pow (+ 1 x) 2))))> |
#<alt (* y (+ (/ 1 (* y (+ 1 x))) (/ z (pow (+ 1 x) 2))))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (* -1 (* y (- (* -1 (/ z (pow (+ 1 x) 2))) (/ 1 (* y (+ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ z (pow (+ 1 x) 2))) (/ 1 (* y (+ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ z (pow (+ 1 x) 2))) (/ 1 (* y (+ 1 x))))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* y z))> |
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))> |
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))> |
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (/ -1 (* y z))> |
#<alt (/ (- (* -1/6 (/ (pow y 2) z)) (/ 1 z)) y)> |
#<alt (/ (- (* (pow y 2) (- (* -7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)> |
#<alt (/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (/ (* y z) x)> |
#<alt (* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))> |
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x)))> |
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x)))> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (* y z)> |
#<alt (+ (* -2 (* x (* y z))) (* y z))> |
#<alt (+ (* x (- (* -1 (* x (+ (* -4 (* y z)) (* y z)))) (* 2 (* y z)))) (* y z))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -2 (* y z)) (* -2 (+ (* -4 (* y z)) (* y z)))))) (+ (* -4 (* y z)) (* y z)))) (* 2 (* y z)))) (* y z))> |
#<alt (/ (* y z) (pow x 2))> |
#<alt (/ (+ (* -2 (/ (* y z) x)) (* y z)) (pow x 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -4 (* y z)) (* y z)) (pow x 2))) (* y z)) (* 2 (/ (* y z) x))) (pow x 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (* y z)) (* -2 (+ (* -4 (* y z)) (* y z)))) (pow x 3))) (* y z)) (+ (* -4 (/ (* y z) (pow x 2))) (+ (* 2 (/ (* y z) x)) (/ (* y z) (pow x 2))))) (pow x 2))> |
#<alt (/ (* y z) (pow x 2))> |
#<alt (/ (+ (* -2 (/ (* y z) x)) (* y z)) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (- (+ (* -4 (/ (* y z) x)) (/ (* y z) x)) (* -2 (* y z))) x)) (* y z)) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* y z) x)) (* 2 (/ (+ (* -4 (* y z)) (* y z)) x))) (+ (* -4 (* y z)) (* y z))) x)) (* -2 (* y z))) x)) (* y z)) (pow x 2))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (/ (* y z) (pow (+ 1 x) 2))> |
#<alt (/ z (+ 1 x))> |
#<alt (/ z (+ 1 x))> |
#<alt (/ z (+ 1 x))> |
#<alt (/ z (+ 1 x))> |
#<alt (/ z (+ 1 x))> |
#<alt (/ z (+ 1 x))> |
#<alt (/ z (+ 1 x))> |
#<alt (/ z (+ 1 x))> |
#<alt (/ z (+ 1 x))> |
#<alt (/ z (+ 1 x))> |
#<alt (/ z (+ 1 x))> |
#<alt (/ z (+ 1 x))> |
#<alt z> |
#<alt (+ z (* -1 (* x z)))> |
#<alt (+ z (* x (- (* x z) z)))> |
#<alt (+ z (* x (- (* x (- (* -1 (* x z)) (* -1 z))) z)))> |
#<alt (/ z x)> |
#<alt (/ (+ z (* -1 (/ z x))) x)> |
#<alt (/ (- (+ z (/ z (pow x 2))) (/ z x)) x)> |
#<alt (/ (- (+ z (* -1 (/ z (pow x 3)))) (+ (* -1 (/ z (pow x 2))) (/ z x))) x)> |
#<alt (/ z x)> |
#<alt (* -1 (/ (+ (* -1 z) (/ z x)) x))> |
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ z x) z) x))) x))> |
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ z x) z) x)) z) x))) x))> |
99 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | (/ 1 (+ (/ 1 (+ 1 x)) (* (/ z (+ 1 x)) (/ y (+ 1 x))))) |
| 2.0ms | x | @ | 0 | (/ 1 (+ (/ 1 (+ 1 x)) (* (/ z (+ 1 x)) (/ y (+ 1 x))))) |
| 1.0ms | z | @ | 0 | (+ (/ 1 (+ 1 x)) (* (/ z (+ 1 x)) (/ y (+ 1 x)))) |
| 1.0ms | z | @ | -inf | (* (/ z (+ 1 x)) (/ y (+ 1 x))) |
| 1.0ms | x | @ | -inf | (* x (- (/ (cos y) x) (- (* (sin y) (/ z x)) 1))) |
| 1× | batch-egg-rewrite |
| 5280× | *-lowering-*.f32 |
| 5280× | *-lowering-*.f64 |
| 4714× | /-lowering-/.f32 |
| 4714× | /-lowering-/.f64 |
| 2380× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 121 |
| 1 | 152 | 110 |
| 2 | 1560 | 110 |
| 0 | 8668 | 104 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (- (/ (cos y) x) (- (* (sin y) (/ z x)) 1))) |
(- (/ (cos y) x) (- (* (sin y) (/ z x)) 1)) |
(/ (cos y) x) |
(cos y) |
(/ 1 (/ 1 (+ 1 x))) |
(/ 1 (+ 1 x)) |
(+ 1 x) |
(/ 1 (+ (/ 1 (+ 1 x)) (* (/ z (+ 1 x)) (/ y (+ 1 x))))) |
(+ (/ 1 (+ 1 x)) (* (/ z (+ 1 x)) (/ y (+ 1 x)))) |
(/ 1 (/ -1 (* z (sin y)))) |
(/ -1 (* z (sin y))) |
(* z (sin y)) |
(sin y) |
(* (sin y) (/ z x)) |
(* (/ z (+ 1 x)) (/ y (+ 1 x))) |
(/ z (+ 1 x)) |
| Outputs |
|---|
(+.f64 (*.f64 x (/.f64 (cos.f64 y) x)) (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64))))) |
(+.f64 (*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) x)) x) |
(+.f64 (*.f64 (/.f64 (cos.f64 y) x) x) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64))) x)) |
(+.f64 (*.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) x) x) x) |
(fma.f64 x (/.f64 (cos.f64 y) x) (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64))))) |
(fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) x) x) |
(fma.f64 (/.f64 (cos.f64 y) x) x (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) x) x x) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x)) (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64)) (+.f64 (/.f64 (cos.f64 y) x) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64)))))) |
(/.f64 (*.f64 x (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x)) (pow.f64 (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (cos.f64 y) x) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64)) #s(literal 3 binary64))) x) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x)) (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64)) (+.f64 (/.f64 (cos.f64 y) x) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x)) (pow.f64 (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64)) #s(literal 2 binary64))) x) (+.f64 (/.f64 (cos.f64 y) x) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x)) (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64)) (+.f64 (/.f64 (cos.f64 y) x) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x)) (pow.f64 (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64)) #s(literal 2 binary64))))) (neg.f64 (+.f64 (/.f64 (cos.f64 y) x) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64)) #s(literal 3 binary64))) x)) (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x)) (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64)) (+.f64 (/.f64 (cos.f64 y) x) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x)) (pow.f64 (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64)) #s(literal 2 binary64))) x)) (neg.f64 (+.f64 (/.f64 (cos.f64 y) x) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) x)) x) |
(+.f64 (/.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) x)) |
(+.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64))) (/.f64 (cos.f64 y) x)) |
(+.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) x) #s(literal 1 binary64)) |
(-.f64 (/.f64 (cos.f64 y) x) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64))) |
(-.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) x) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 y) x) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x)) (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64)) (+.f64 (/.f64 (cos.f64 y) x) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x)) (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64)) (+.f64 (/.f64 (cos.f64 y) x) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64))))))) |
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x)) (+.f64 (/.f64 (cos.f64 y) x) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64)))) (/.f64 (pow.f64 (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 y) x) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 (cos.f64 y) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (/.f64 z x) (/.f64 z x))) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal 1 binary64)))) (*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (/.f64 z x) (/.f64 z x))) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal 1 binary64))))) (/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (/.f64 z x) (/.f64 z x))) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 (cos.f64 y) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal 1 binary64))) (*.f64 x (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal 1 binary64)))) (/.f64 (*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (/.f64 z x) (/.f64 z x))) #s(literal -1 binary64))) (*.f64 x (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (/.f64 z x) (/.f64 z x))) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal 1 binary64)))) (*.f64 (/.f64 x (cos.f64 y)) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (/.f64 z x) (/.f64 z x))) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal 1 binary64))))) (/.f64 (*.f64 (/.f64 x (cos.f64 y)) (+.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (cos.f64 y)) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (/.f64 z x) (/.f64 z x))) (+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal 1 binary64)))))) |
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(*.f64 (/.f64 (/.f64 z (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 z (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (/.f64 z (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (/.f64 y (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 z (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 y (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 (/.f64 (/.f64 z (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))))) |
(*.f64 (/.f64 (/.f64 z (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 z (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 (/.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))))) |
(*.f64 (/.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (*.f64 y z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 y z) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 (/.f64 (*.f64 y z) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))))) |
(*.f64 (/.f64 (*.f64 y z) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (*.f64 y z) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 z (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))) |
(neg.f64 (/.f64 z (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 z (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 z #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (/.f64 z #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 z #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (/.f64 z #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (*.f64 z #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 z (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 z (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 z (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 z (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))))) |
(*.f64 (/.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 z (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
| 1× | egg-herbie |
| 8424× | accelerator-lowering-fma.f32 |
| 8424× | accelerator-lowering-fma.f64 |
| 5014× | *-lowering-*.f32 |
| 5014× | *-lowering-*.f64 |
| 3586× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 668 | 4523 |
| 1 | 2096 | 4270 |
| 2 | 6373 | 4234 |
| 0 | 8270 | 4027 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) (+ 1 (* -1 (/ (* z (sin y)) x)))))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) (+ 1 (* -1 (/ (* z (sin y)) x)))))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) (+ 1 (* -1 (/ (* z (sin y)) x)))))) |
(* x (+ 1 (/ 1 x))) |
(+ (* -1 (* y z)) (* x (+ 1 (/ 1 x)))) |
(+ (* x (+ 1 (/ 1 x))) (* y (+ (* -1 z) (* -1/2 y)))) |
(+ (* x (+ 1 (/ 1 x))) (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (+ 1 (/ (cos y) x))) |
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) |
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) |
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z))))) |
(+ 1 (/ 1 x)) |
(+ 1 (+ (* -1 (/ (* y z) x)) (/ 1 x))) |
(+ 1 (+ (* y (- (* -1/2 (/ y x)) (/ z x))) (/ 1 x))) |
(+ 1 (+ (* y (- (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))) (/ z x))) (/ 1 x))) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (- (+ x (cos y)) (* z (sin y))) x) |
(/ (- (+ x (cos y)) (* z (sin y))) x) |
(/ (- (+ x (cos y)) (* z (sin y))) x) |
1 |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
1 |
(+ 1 (* -1 (/ (- (* -1 (cos y)) (* -1 (* z (sin y)))) x))) |
(+ 1 (* -1 (/ (- (* -1 (cos y)) (* -1 (* z (sin y)))) x))) |
(+ 1 (* -1 (/ (- (* -1 (cos y)) (* -1 (* z (sin y)))) x))) |
(+ 1 (/ (cos y) x)) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(* -1 (/ (* z (sin y)) x)) |
(* z (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(* z (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(* z (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(* -1 (/ (* z (sin y)) x)) |
(* -1 (* z (- (* -1 (/ (+ 1 (/ (cos y) x)) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (- (* -1 (/ (+ 1 (/ (cos y) x)) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (- (* -1 (/ (+ 1 (/ (cos y) x)) z)) (* -1 (/ (sin y) x))))) |
(/ 1 x) |
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
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))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(/ 1 x) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/ 1 x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ 1 (+ 1 (* y z))) |
(+ (/ 1 (+ 1 (* y z))) (/ (* x (+ 1 (* 2 (* y z)))) (pow (+ 1 (* y z)) 2))) |
(+ (* x (- (* x (- (+ (* -4 (/ (* y z) (pow (+ 1 (* y z)) 2))) (/ (* y z) (pow (+ 1 (* y z)) 2))) (+ (* -1 (/ (pow (+ 1 (* 2 (* y z))) 2) (pow (+ 1 (* y z)) 3))) (/ 1 (pow (+ 1 (* y z)) 2))))) (* -1 (/ (+ 1 (* 2 (* y z))) (pow (+ 1 (* y z)) 2))))) (/ 1 (+ 1 (* y z)))) |
(+ (* x (- (* x (- (+ (* -4 (/ (* y z) (pow (+ 1 (* y z)) 2))) (+ (* -1 (* x (+ (* -1 (/ (* (+ 1 (* 2 (* y z))) (- (+ (* -4 (/ (* y z) (pow (+ 1 (* y z)) 2))) (/ (* y z) (pow (+ 1 (* y z)) 2))) (+ (* -1 (/ (pow (+ 1 (* 2 (* y z))) 2) (pow (+ 1 (* y z)) 3))) (/ 1 (pow (+ 1 (* y z)) 2))))) (+ 1 (* y z)))) (+ (* -1 (/ (+ 1 (+ (* -2 (* y z)) (* -2 (+ (* -4 (* y z)) (* y z))))) (pow (+ 1 (* y z)) 2))) (/ (* (+ 1 (* 2 (* y z))) (- 1 (+ (* -4 (* y z)) (* y z)))) (pow (+ 1 (* y z)) 3)))))) (/ (* y z) (pow (+ 1 (* y z)) 2)))) (+ (* -1 (/ (pow (+ 1 (* 2 (* y z))) 2) (pow (+ 1 (* y z)) 3))) (/ 1 (pow (+ 1 (* y z)) 2))))) (* -1 (/ (+ 1 (* 2 (* y z))) (pow (+ 1 (* y z)) 2))))) (/ 1 (+ 1 (* y z)))) |
x |
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x))) |
(* x (- (+ 1 (+ (* 2 (/ (* y z) (pow x 2))) (/ 1 x))) (+ (/ 1 (pow x 2)) (+ (/ (* y z) x) (/ (* (- 1 (* y z)) (- (* y z) 1)) (pow x 2)))))) |
(* x (- (+ 1 (+ (* -1 (/ (+ (* -1 (+ 1 (+ (* -4 (* y z)) (* y z)))) (+ (* (- 1 (* 2 (* y z))) (- 1 (* y z))) (* (- (* 2 (* y z)) (+ 1 (* (- 1 (* y z)) (- (* y z) 1)))) (- (* y z) 1)))) (pow x 3))) (+ (* 2 (/ (* y z) (pow x 2))) (/ 1 x)))) (+ (/ 1 (pow x 2)) (+ (/ (* y z) x) (/ (* (- 1 (* y z)) (- (* y z) 1)) (pow x 2)))))) |
x |
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* y z)) (- (* y z) 1)) x)) (* -1 (/ (+ 1 (* -2 (* y z))) x)))) (* y z)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ 1 (+ (* -4 (* y z)) (* y z))) x)) (+ (/ (* (+ 1 (* -2 (* y z))) (- 1 (* y z))) x) (/ (* (+ (* -1 (* (- 1 (* y z)) (- (* y z) 1))) (* -1 (+ 1 (* -2 (* y z))))) (- (* y z) 1)) x))) (+ (* -1 (* (- 1 (* y z)) (- (* y z) 1))) (* -1 (+ 1 (* -2 (* y z)))))) x))) (* y z)) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* z (- (/ (* (pow y 2) z) (+ 1 x)) y)))) |
(+ 1 (+ x (* z (- (* z (- (* -1 (/ (* (pow y 3) z) (pow (+ 1 x) 2))) (* -1 (/ (pow y 2) (+ 1 x))))) y)))) |
(/ (pow (+ 1 x) 2) (* y z)) |
(/ (+ (* -1 (/ (pow (+ 1 x) 3) (* (pow y 2) z))) (/ (pow (+ 1 x) 2) y)) z) |
(/ (- (+ (/ (pow (+ 1 x) 2) y) (/ (pow (+ 1 x) 4) (* (pow y 3) (pow z 2)))) (/ (pow (+ 1 x) 3) (* (pow y 2) z))) z) |
(/ (- (+ (* -1 (/ (pow (+ 1 x) 5) (* (pow y 4) (pow z 3)))) (/ (pow (+ 1 x) 2) y)) (+ (* -1 (/ (pow (+ 1 x) 4) (* (pow y 3) (pow z 2)))) (/ (pow (+ 1 x) 3) (* (pow y 2) z)))) z) |
(/ (pow (+ 1 x) 2) (* y z)) |
(* -1 (/ (+ (* -1 (/ (pow (+ 1 x) 2) y)) (/ (pow (+ 1 x) 3) (* (pow y 2) z))) z)) |
(* -1 (/ (+ (* -1 (/ (- (/ (pow (+ 1 x) 4) (* (pow y 3) z)) (/ (pow (+ 1 x) 3) (pow y 2))) z)) (* -1 (/ (pow (+ 1 x) 2) y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 x) 5) (* (pow y 4) z)) (/ (pow (+ 1 x) 4) (pow y 3))) z)) (/ (pow (+ 1 x) 3) (pow y 2))) z)) (* -1 (/ (pow (+ 1 x) 2) y))) z)) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (/ (* y (pow z 2)) (+ 1 x)) z)))) |
(+ 1 (+ x (* y (- (* y (- (* -1 (/ (* y (pow z 3)) (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (+ 1 x))))) z)))) |
(/ (pow (+ 1 x) 2) (* y z)) |
(/ (+ (* -1 (/ (pow (+ 1 x) 3) (* y (pow z 2)))) (/ (pow (+ 1 x) 2) z)) y) |
(/ (- (+ (/ (pow (+ 1 x) 2) z) (/ (pow (+ 1 x) 4) (* (pow y 2) (pow z 3)))) (/ (pow (+ 1 x) 3) (* y (pow z 2)))) y) |
(/ (- (+ (* -1 (/ (pow (+ 1 x) 5) (* (pow y 3) (pow z 4)))) (/ (pow (+ 1 x) 2) z)) (+ (* -1 (/ (pow (+ 1 x) 4) (* (pow y 2) (pow z 3)))) (/ (pow (+ 1 x) 3) (* y (pow z 2))))) y) |
(/ (pow (+ 1 x) 2) (* y z)) |
(* -1 (/ (+ (* -1 (/ (pow (+ 1 x) 2) z)) (/ (pow (+ 1 x) 3) (* y (pow z 2)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (/ (pow (+ 1 x) 4) (* y (pow z 3))) (/ (pow (+ 1 x) 3) (pow z 2))) y)) (* -1 (/ (pow (+ 1 x) 2) z))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 x) 5) (* y (pow z 4))) (/ (pow (+ 1 x) 4) (pow z 3))) y)) (/ (pow (+ 1 x) 3) (pow z 2))) y)) (* -1 (/ (pow (+ 1 x) 2) z))) y)) |
(+ 1 (* y z)) |
(+ 1 (+ (* -1 (* x (+ 1 (* 2 (* y z))))) (* y z))) |
(+ 1 (+ (* x (- (* x (- 1 (+ (* -4 (* y z)) (* y z)))) (+ 1 (* 2 (* y z))))) (* y z))) |
(+ 1 (+ (* x (- (* x (- (+ 1 (* -1 (* x (+ 1 (+ (* -2 (* y z)) (* -2 (+ (* -4 (* y z)) (* y z)))))))) (+ (* -4 (* y z)) (* y z)))) (+ 1 (* 2 (* y z))))) (* y z))) |
(/ 1 x) |
(/ (- (+ 1 (/ (* y z) x)) (/ 1 x)) x) |
(/ (- (+ 1 (+ (/ 1 (pow x 2)) (/ (* y z) x))) (+ (* 2 (/ (* y z) (pow x 2))) (/ 1 x))) x) |
(/ (- (+ 1 (+ (* -1 (/ (+ 1 (+ (* -4 (* y z)) (* y z))) (pow x 3))) (+ (/ 1 (pow x 2)) (/ (* y z) x)))) (+ (* 2 (/ (* y z) (pow x 2))) (/ 1 x))) x) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ (- (* y z) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* y z) x)) (+ (* y z) (/ 1 x))) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* y z) x)) (+ (/ 1 x) (/ (* y z) x))) (+ 1 (* -2 (* y z)))) x)) (* y z)) 1) x)) 1) x)) |
(/ 1 (+ 1 x)) |
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2))) |
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2))) |
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(* z (+ (/ 1 (* z (+ 1 x))) (/ y (pow (+ 1 x) 2)))) |
(* z (+ (/ 1 (* z (+ 1 x))) (/ y (pow (+ 1 x) 2)))) |
(* z (+ (/ 1 (* z (+ 1 x))) (/ y (pow (+ 1 x) 2)))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(* -1 (* z (- (* -1 (/ y (pow (+ 1 x) 2))) (/ 1 (* z (+ 1 x)))))) |
(* -1 (* z (- (* -1 (/ y (pow (+ 1 x) 2))) (/ 1 (* z (+ 1 x)))))) |
(* -1 (* z (- (* -1 (/ y (pow (+ 1 x) 2))) (/ 1 (* z (+ 1 x)))))) |
(/ 1 (+ 1 x)) |
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2))) |
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2))) |
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(* y (+ (/ 1 (* y (+ 1 x))) (/ z (pow (+ 1 x) 2)))) |
(* y (+ (/ 1 (* y (+ 1 x))) (/ z (pow (+ 1 x) 2)))) |
(* y (+ (/ 1 (* y (+ 1 x))) (/ z (pow (+ 1 x) 2)))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(* -1 (* y (- (* -1 (/ z (pow (+ 1 x) 2))) (/ 1 (* y (+ 1 x)))))) |
(* -1 (* y (- (* -1 (/ z (pow (+ 1 x) 2))) (/ 1 (* y (+ 1 x)))))) |
(* -1 (* y (- (* -1 (/ z (pow (+ 1 x) 2))) (/ 1 (* y (+ 1 x)))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* y z)) |
(/ (- (* -1/6 (/ (pow y 2) z)) (/ 1 z)) y) |
(/ (- (* (pow y 2) (- (* -7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ (* y z) x) |
(* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x))) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/ (* y z) (pow (+ 1 x) 2)) |
(* y z) |
(+ (* -2 (* x (* y z))) (* y z)) |
(+ (* x (- (* -1 (* x (+ (* -4 (* y z)) (* y z)))) (* 2 (* y z)))) (* y z)) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -2 (* y z)) (* -2 (+ (* -4 (* y z)) (* y z)))))) (+ (* -4 (* y z)) (* y z)))) (* 2 (* y z)))) (* y z)) |
(/ (* y z) (pow x 2)) |
(/ (+ (* -2 (/ (* y z) x)) (* y z)) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -4 (* y z)) (* y z)) (pow x 2))) (* y z)) (* 2 (/ (* y z) x))) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -2 (* y z)) (* -2 (+ (* -4 (* y z)) (* y z)))) (pow x 3))) (* y z)) (+ (* -4 (/ (* y z) (pow x 2))) (+ (* 2 (/ (* y z) x)) (/ (* y z) (pow x 2))))) (pow x 2)) |
(/ (* y z) (pow x 2)) |
(/ (+ (* -2 (/ (* y z) x)) (* y z)) (pow x 2)) |
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* y z) x)) (/ (* y z) x)) (* -2 (* y z))) x)) (* y z)) (pow x 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* y z) x)) (* 2 (/ (+ (* -4 (* y z)) (* y z)) x))) (+ (* -4 (* y z)) (* y z))) x)) (* -2 (* y z))) x)) (* y z)) (pow x 2)) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/ z (+ 1 x)) |
(/ z (+ 1 x)) |
(/ z (+ 1 x)) |
(/ z (+ 1 x)) |
(/ z (+ 1 x)) |
(/ z (+ 1 x)) |
(/ z (+ 1 x)) |
(/ z (+ 1 x)) |
(/ z (+ 1 x)) |
(/ z (+ 1 x)) |
(/ z (+ 1 x)) |
(/ z (+ 1 x)) |
z |
(+ z (* -1 (* x z))) |
(+ z (* x (- (* x z) z))) |
(+ z (* x (- (* x (- (* -1 (* x z)) (* -1 z))) z))) |
(/ z x) |
(/ (+ z (* -1 (/ z x))) x) |
(/ (- (+ z (/ z (pow x 2))) (/ z x)) x) |
(/ (- (+ z (* -1 (/ z (pow x 3)))) (+ (* -1 (/ z (pow x 2))) (/ z x))) x) |
(/ z x) |
(* -1 (/ (+ (* -1 z) (/ z x)) x)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ z x) z) x))) x)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ z x) z) x)) z) x))) x)) |
| Outputs |
|---|
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) (+ 1 (* -1 (/ (* z (sin y)) x)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) (+ 1 (* -1 (/ (* z (sin y)) x)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) (+ 1 (* -1 (/ (* z (sin y)) x)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(+ (* -1 (* y z)) (* x (+ 1 (/ 1 x)))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(+ (* x (+ 1 (/ 1 x))) (* y (+ (* -1 z) (* -1/2 y)))) |
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))) |
(+ (* x (+ 1 (/ 1 x))) (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))) |
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64)))) z)))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(* x (+ 1 (/ (cos y) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x))) |
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x))) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x))) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x))) (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z))) |
(*.f64 z (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)) (/.f64 x z)) (sin.f64 y))) |
(* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z))) |
(*.f64 z (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)) (/.f64 x z)) (sin.f64 y))) |
(* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z))) |
(*.f64 z (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)) (/.f64 x z)) (sin.f64 y))) |
(* -1 (* z (sin y))) |
(*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z))))) |
(*.f64 z (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)) (/.f64 x z)) (sin.f64 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z))))) |
(*.f64 z (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)) (/.f64 x z)) (sin.f64 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z))))) |
(*.f64 z (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)) (/.f64 x z)) (sin.f64 y))) |
(+ 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 (/ (* y z) x)) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)) |
(+ 1 (+ (* y (- (* -1/2 (/ y x)) (/ z x))) (/ 1 x))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) (/.f64 z x)))) |
(+ 1 (+ (* y (- (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))) (/ z x))) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y (+.f64 (/.f64 (*.f64 (*.f64 y z) #s(literal 1/6 binary64)) x) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 z x))))) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
(/ (- (cos y) (* z (sin y))) x) |
(/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(/ (- (+ x (cos y)) (* z (sin y))) x) |
(/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) x) |
(/ (- (+ x (cos y)) (* z (sin y))) x) |
(/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) x) |
(/ (- (+ x (cos y)) (* z (sin y))) x) |
(/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) x) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 (cos y)) (* -1 (* z (sin y)))) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
(+ 1 (* -1 (/ (- (* -1 (cos y)) (* -1 (* z (sin y)))) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
(+ 1 (* -1 (/ (- (* -1 (cos y)) (* -1 (* z (sin y)))) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
(+ 1 (/ (cos y) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
(* -1 (/ (* z (sin y)) x)) |
(/.f64 (*.f64 z (sin.f64 y)) (-.f64 #s(literal 0 binary64) x)) |
(* z (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (/.f64 (cos.f64 y) x) z) (/.f64 (sin.f64 y) x)))) |
(* z (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (/.f64 (cos.f64 y) x) z) (/.f64 (sin.f64 y) x)))) |
(* z (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (/.f64 (cos.f64 y) x) z) (/.f64 (sin.f64 y) x)))) |
(* -1 (/ (* z (sin y)) x)) |
(/.f64 (*.f64 z (sin.f64 y)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* z (- (* -1 (/ (+ 1 (/ (cos y) x)) z)) (* -1 (/ (sin y) x))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)) z) (/.f64 (sin.f64 y) x))) |
(* -1 (* z (- (* -1 (/ (+ 1 (/ (cos y) x)) z)) (* -1 (/ (sin y) x))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)) z) (/.f64 (sin.f64 y) x))) |
(* -1 (* z (- (* -1 (/ (+ 1 (/ (cos y) x)) z)) (* -1 (/ (sin y) x))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)) z) (/.f64 (sin.f64 y) x))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)) |
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(*.f64 z (sin.f64 y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(/ (* y z) x) |
(/.f64 (*.f64 y z) x) |
(* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))) |
(*.f64 y (+.f64 (/.f64 z x) (/.f64 (*.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64)) x))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x))) |
(*.f64 y (+.f64 (/.f64 z x) (*.f64 (*.f64 y y) (+.f64 (/.f64 (*.f64 z #s(literal -1/6 binary64)) x) (/.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) x))))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x))) |
(*.f64 y (+.f64 (/.f64 z x) (*.f64 (*.f64 y y) (+.f64 (/.f64 (*.f64 z #s(literal -1/6 binary64)) x) (*.f64 (*.f64 y y) (+.f64 (/.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) x) (/.f64 (*.f64 z #s(literal 1/120 binary64)) x))))))) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/.f64 (*.f64 y z) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/.f64 (*.f64 y z) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/.f64 (*.f64 y z) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/.f64 (*.f64 y z) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/.f64 (*.f64 y z) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/.f64 (*.f64 y z) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/.f64 (*.f64 y z) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/.f64 (*.f64 y z) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/.f64 (*.f64 y z) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/.f64 (*.f64 y z) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/.f64 (*.f64 y z) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/.f64 (*.f64 y z) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(* y z) |
(*.f64 y z) |
(+ (* -2 (* x (* y z))) (* y z)) |
(*.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 y z)) |
(+ (* x (- (* -1 (* x (+ (* -4 (* y z)) (* y z)))) (* 2 (* y z)))) (* y z)) |
(+.f64 (*.f64 y z) (*.f64 x (+.f64 (*.f64 y (*.f64 z #s(literal -2 binary64))) (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 y z)))))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -2 (* y z)) (* -2 (+ (* -4 (* y z)) (* y z)))))) (+ (* -4 (* y z)) (* y z)))) (* 2 (* y z)))) (* y z)) |
(+.f64 (*.f64 y z) (*.f64 x (+.f64 (*.f64 y (*.f64 z #s(literal -2 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 y z)) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 y (*.f64 z #s(literal -2 binary64))))))))) |
(/ (* y z) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y z) x) x) |
(/ (+ (* -2 (/ (* y z) x)) (* y z)) (pow x 2)) |
(/.f64 (+.f64 (*.f64 y z) (*.f64 y (*.f64 (/.f64 z x) #s(literal -2 binary64)))) (*.f64 x x)) |
(/ (- (+ (* -1 (/ (+ (* -4 (* y z)) (* y z)) (pow x 2))) (* y z)) (* 2 (/ (* y z) x))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 y (*.f64 (/.f64 z x) #s(literal -2 binary64))) (+.f64 (*.f64 y z) (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 y z) x) x)))) (*.f64 x x)) |
(/ (- (+ (* -1 (/ (+ (* -2 (* y z)) (* -2 (+ (* -4 (* y z)) (* y z)))) (pow x 3))) (* y z)) (+ (* -4 (/ (* y z) (pow x 2))) (+ (* 2 (/ (* y z) x)) (/ (* y z) (pow x 2))))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 y z) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y (*.f64 z #s(literal -2 binary64))) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (*.f64 y z) x) x)) (+.f64 (/.f64 (/.f64 (*.f64 y z) x) x) (*.f64 (/.f64 (*.f64 y z) x) #s(literal 2 binary64)))))) (*.f64 x x)) |
(/ (* y z) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y z) x) x) |
(/ (+ (* -2 (/ (* y z) x)) (* y z)) (pow x 2)) |
(/.f64 (+.f64 (*.f64 y z) (*.f64 y (*.f64 (/.f64 z x) #s(literal -2 binary64)))) (*.f64 x x)) |
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* y z) x)) (/ (* y z) x)) (* -2 (* y z))) x)) (* y z)) (pow x 2)) |
(/.f64 (+.f64 (*.f64 y z) (/.f64 (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 y z) x)) (*.f64 y (*.f64 z #s(literal -2 binary64)))) x)) (*.f64 x x)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* y z) x)) (* 2 (/ (+ (* -4 (* y z)) (* y z)) x))) (+ (* -4 (* y z)) (* y z))) x)) (* -2 (* y z))) x)) (* y z)) (pow x 2)) |
(/.f64 (+.f64 (*.f64 y z) (/.f64 (+.f64 (/.f64 (+.f64 (+.f64 (*.f64 (/.f64 (*.f64 y z) x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -6 binary64) (*.f64 y z)) x)) (*.f64 #s(literal 3 binary64) (*.f64 y z))) x) (*.f64 y (*.f64 z #s(literal -2 binary64)))) x)) (*.f64 x x)) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/.f64 (*.f64 y z) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/.f64 (*.f64 y z) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/.f64 (*.f64 y z) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/.f64 (*.f64 y z) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/.f64 (*.f64 y z) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/.f64 (*.f64 y z) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/.f64 (*.f64 y z) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/.f64 (*.f64 y z) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/.f64 (*.f64 y z) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/.f64 (*.f64 y z) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/.f64 (*.f64 y z) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/ (* y z) (pow (+ 1 x) 2)) |
(/.f64 (*.f64 y z) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/ z (+ 1 x)) |
(/.f64 z (+.f64 x #s(literal 1 binary64))) |
(/ z (+ 1 x)) |
(/.f64 z (+.f64 x #s(literal 1 binary64))) |
(/ z (+ 1 x)) |
(/.f64 z (+.f64 x #s(literal 1 binary64))) |
(/ z (+ 1 x)) |
(/.f64 z (+.f64 x #s(literal 1 binary64))) |
(/ z (+ 1 x)) |
(/.f64 z (+.f64 x #s(literal 1 binary64))) |
(/ z (+ 1 x)) |
(/.f64 z (+.f64 x #s(literal 1 binary64))) |
(/ z (+ 1 x)) |
(/.f64 z (+.f64 x #s(literal 1 binary64))) |
(/ z (+ 1 x)) |
(/.f64 z (+.f64 x #s(literal 1 binary64))) |
(/ z (+ 1 x)) |
(/.f64 z (+.f64 x #s(literal 1 binary64))) |
(/ z (+ 1 x)) |
(/.f64 z (+.f64 x #s(literal 1 binary64))) |
(/ z (+ 1 x)) |
(/.f64 z (+.f64 x #s(literal 1 binary64))) |
(/ z (+ 1 x)) |
(/.f64 z (+.f64 x #s(literal 1 binary64))) |
z |
(+ z (* -1 (* x z))) |
(*.f64 z (-.f64 #s(literal 1 binary64) x)) |
(+ z (* x (- (* x z) z))) |
(+.f64 z (*.f64 x (*.f64 z (+.f64 x #s(literal -1 binary64))))) |
(+ z (* x (- (* x (- (* -1 (* x z)) (* -1 z))) z))) |
(+.f64 z (*.f64 x (-.f64 (*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) x))) z))) |
(/ z x) |
(/.f64 z x) |
(/ (+ z (* -1 (/ z x))) x) |
(/.f64 (-.f64 z (/.f64 z x)) x) |
(/ (- (+ z (/ z (pow x 2))) (/ z x)) x) |
(/.f64 (+.f64 z (/.f64 (-.f64 (/.f64 z x) z) x)) x) |
(/ (- (+ z (* -1 (/ z (pow x 3)))) (+ (* -1 (/ z (pow x 2))) (/ z x))) x) |
(/.f64 (+.f64 (-.f64 z (/.f64 (/.f64 z (*.f64 x x)) x)) (/.f64 (-.f64 (/.f64 z x) z) x)) x) |
(/ z x) |
(/.f64 z x) |
(* -1 (/ (+ (* -1 z) (/ z x)) x)) |
(/.f64 (-.f64 z (/.f64 z x)) x) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ z x) z) x))) x)) |
(/.f64 (+.f64 z (/.f64 (-.f64 (/.f64 z x) z) x)) x) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ z x) z) x)) z) x))) x)) |
(/.f64 (+.f64 z (/.f64 (-.f64 (/.f64 (-.f64 z (/.f64 z x)) x) z) x)) x) |
Compiled 33145 to 3692 computations (88.9% saved)
48 alts after pruning (43 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1366 | 22 | 1388 |
| Fresh | 7 | 21 | 28 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1377 | 48 | 1425 |
| Status | Accuracy | Program |
|---|---|---|
| 1.5% | (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) y) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 y (*.f64 y z)))) z) | |
| 69.6% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) x))) | |
| 3.2% | (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 y z)) | |
| 25.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)) | |
| 25.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))) | |
| 10.2% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal -1/6 binary64) z)) (/.f64 #s(literal -1 binary64) z)) y)) | |
| 34.3% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y z)) x)) x)) | |
| 40.6% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) | |
| 25.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) z)))) | |
| ✓ | 58.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
| 40.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| 10.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z y))) | |
| 51.6% | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) z)))) | |
| 39.9% | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 y z) (*.f64 y (*.f64 (/.f64 z x) #s(literal -2 binary64)))) (*.f64 x x)))) | |
| 43.4% | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (-.f64 z (/.f64 z x)) x) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) | |
| 46.2% | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y x)))) | |
| 34.4% | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) | |
| 19.8% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) | |
| 19.7% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y z))) | |
| 60.2% | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) | |
| 33.4% | (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))) (*.f64 y z))) | |
| 56.1% | (-.f64 x (*.f64 z (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (sin.f64 y)))) | |
| 33.4% | (-.f64 x (*.f64 z (*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))) | |
| 36.2% | (-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))) | |
| ✓ | 63.9% | (-.f64 x (*.f64 z (sin.f64 y))) |
| 42.3% | (-.f64 x (*.f64 z y)) | |
| 27.7% | (-.f64 #s(literal 1 binary64) (*.f64 y z)) | |
| 10.5% | (-.f64 #s(literal 0 binary64) (*.f64 y z)) | |
| 52.2% | (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))) | |
| 76.0% | (+.f64 (cos.f64 y) x) | |
| ✓ | 58.3% | (+.f64 x #s(literal 1 binary64)) |
| 18.8% | (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) | |
| 49.1% | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (/.f64 y x))))) | |
| 10.6% | (*.f64 (*.f64 y z) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) | |
| 6.6% | (*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) | |
| 25.7% | (*.f64 (neg.f64 (sin.f64 y)) z) | |
| 51.5% | (*.f64 z (-.f64 (/.f64 x z) (sin.f64 y))) | |
| 87.4% | (*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) | |
| 10.3% | (*.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (+.f64 (*.f64 (*.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) z)) | |
| 10.7% | (*.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) | |
| 2.8% | (*.f64 y (*.f64 y #s(literal -1/2 binary64))) | |
| 70.5% | (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 1 binary64)))) | |
| 34.5% | (*.f64 x (+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 y z) x) #s(literal 2 binary64)) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (/.f64 (*.f64 y z) x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 x x))))) | |
| 43.7% | (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 (*.f64 y (+.f64 (/.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) x) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 z x))))) | |
| 56.6% | (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x))) | |
| 58.2% | (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) | |
| ✓ | 40.7% | x |
| ✓ | 20.2% | #s(literal 1 binary64) |
Compiled 1925 to 808 computations (58% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (-.f64 #s(literal 0 binary64) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 y z)) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(-.f64 x (*.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x))) |
(*.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 y z)) |
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))) |
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y z)) x)) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (/.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal -1/6 binary64) z)) (/.f64 #s(literal -1 binary64) z)) y)) |
(*.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (+.f64 (*.f64 (*.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) z)) |
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y x)))) |
(-.f64 x (*.f64 y (+.f64 z (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) z)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (-.f64 z (/.f64 z x)) x) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 y z) (*.f64 y (*.f64 (/.f64 z x) #s(literal -2 binary64)))) (*.f64 x x)))) |
(*.f64 (*.f64 y z) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) |
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))) (*.f64 y z))) |
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 (*.f64 y (+.f64 (/.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) x) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 z x))))) |
(-.f64 x (*.f64 y (+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) y) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 y (*.f64 y z)))) z) |
(*.f64 x (+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 y z) x) #s(literal 2 binary64)) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (/.f64 (*.f64 y z) x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 y (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #s(literal 1 binary64)))))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) x))) (*.f64 y (+.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (*.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 z (-.f64 #s(literal 1 binary64) x))))))))) |
(+.f64 (cos.f64 y) x) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)) |
(*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 1 binary64)))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))))) |
(*.f64 x (-.f64 (/.f64 (cos.f64 y) x) (-.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 1 binary64)))) |
(-.f64 x (*.f64 z (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (sin.f64 y)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z (+.f64 x (cos.f64 y))) |
(/.f64 (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (sin.f64 y)) (/.f64 z (sin.f64 y)) x) |
(/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) x))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
| Outputs |
|---|
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z (+.f64 x (cos.f64 y))) |
4 calls:
| 48.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 45.0ms | z |
| 23.0ms | y |
| 23.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (-.f64 #s(literal 0 binary64) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 y z)) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(-.f64 x (*.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x))) |
(*.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 y z)) |
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))) |
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y z)) x)) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (/.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal -1/6 binary64) z)) (/.f64 #s(literal -1 binary64) z)) y)) |
(*.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (+.f64 (*.f64 (*.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) z)) |
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y x)))) |
(-.f64 x (*.f64 y (+.f64 z (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) z)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (-.f64 z (/.f64 z x)) x) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 y z) (*.f64 y (*.f64 (/.f64 z x) #s(literal -2 binary64)))) (*.f64 x x)))) |
(*.f64 (*.f64 y z) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) |
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))) (*.f64 y z))) |
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 (*.f64 y (+.f64 (/.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) x) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 z x))))) |
(-.f64 x (*.f64 y (+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) y) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 y (*.f64 y z)))) z) |
(*.f64 x (+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 y z) x) #s(literal 2 binary64)) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (/.f64 (*.f64 y z) x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 y (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #s(literal 1 binary64)))))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) x))) (*.f64 y (+.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (*.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 z (-.f64 #s(literal 1 binary64) x))))))))) |
(+.f64 (cos.f64 y) x) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)) |
(*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 1 binary64)))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))))) |
(*.f64 x (-.f64 (/.f64 (cos.f64 y) x) (-.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 1 binary64)))) |
(-.f64 x (*.f64 z (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (sin.f64 y)))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 22.0ms | z |
| 20.0ms | y |
| 19.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 19.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (-.f64 #s(literal 0 binary64) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 y z)) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(-.f64 x (*.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x))) |
(*.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 y z)) |
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))) |
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y z)) x)) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (/.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal -1/6 binary64) z)) (/.f64 #s(literal -1 binary64) z)) y)) |
(*.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (+.f64 (*.f64 (*.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) z)) |
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y x)))) |
(-.f64 x (*.f64 y (+.f64 z (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) z)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (-.f64 z (/.f64 z x)) x) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 y z) (*.f64 y (*.f64 (/.f64 z x) #s(literal -2 binary64)))) (*.f64 x x)))) |
(*.f64 (*.f64 y z) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) |
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))) (*.f64 y z))) |
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 (*.f64 y (+.f64 (/.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) x) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 z x))))) |
(-.f64 x (*.f64 y (+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) y) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 y (*.f64 y z)))) z) |
(*.f64 x (+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 y z) x) #s(literal 2 binary64)) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (/.f64 (*.f64 y z) x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 y (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #s(literal 1 binary64)))))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) x))) (*.f64 y (+.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (*.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 z (-.f64 #s(literal 1 binary64) x))))))))) |
(+.f64 (cos.f64 y) x) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)) |
(*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 1 binary64)))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 1 binary64)))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 1 binary64)))) |
3 calls:
| 18.0ms | z |
| 18.0ms | y |
| 18.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | x |
| 87.7% | 3 | y |
| 94.6% | 3 | z |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (-.f64 #s(literal 0 binary64) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 y z)) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(-.f64 x (*.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x))) |
(*.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 y z)) |
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))) |
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y z)) x)) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (/.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal -1/6 binary64) z)) (/.f64 #s(literal -1 binary64) z)) y)) |
(*.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (+.f64 (*.f64 (*.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) z)) |
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y x)))) |
(-.f64 x (*.f64 y (+.f64 z (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) z)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (-.f64 z (/.f64 z x)) x) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 y z) (*.f64 y (*.f64 (/.f64 z x) #s(literal -2 binary64)))) (*.f64 x x)))) |
(*.f64 (*.f64 y z) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) |
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))) (*.f64 y z))) |
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 (*.f64 y (+.f64 (/.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) x) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 z x))))) |
(-.f64 x (*.f64 y (+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) y) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 y (*.f64 y z)))) z) |
(*.f64 x (+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 y z) x) #s(literal 2 binary64)) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (/.f64 (*.f64 y z) x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 y (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #s(literal 1 binary64)))))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) x))) (*.f64 y (+.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (*.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 z (-.f64 #s(literal 1 binary64) x))))))))) |
(+.f64 (cos.f64 y) x) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)) |
(*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(-.f64 x (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) x) |
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y))) |
2 calls:
| 17.0ms | x |
| 17.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.6% | 3 | z |
| 84.8% | 3 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (-.f64 #s(literal 0 binary64) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 y z)) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(-.f64 x (*.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x))) |
(*.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 y z)) |
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))) |
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y z)) x)) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (/.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal -1/6 binary64) z)) (/.f64 #s(literal -1 binary64) z)) y)) |
(*.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (+.f64 (*.f64 (*.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) z)) |
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y x)))) |
(-.f64 x (*.f64 y (+.f64 z (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) z)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (-.f64 z (/.f64 z x)) x) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 y z) (*.f64 y (*.f64 (/.f64 z x) #s(literal -2 binary64)))) (*.f64 x x)))) |
(*.f64 (*.f64 y z) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) |
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))) (*.f64 y z))) |
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 (*.f64 y (+.f64 (/.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) x) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 z x))))) |
(-.f64 x (*.f64 y (+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) y) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 y (*.f64 y z)))) z) |
(*.f64 x (+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 y z) x) #s(literal 2 binary64)) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (/.f64 (*.f64 y z) x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 y (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #s(literal 1 binary64)))))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) x))) (*.f64 y (+.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (*.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 z (-.f64 #s(literal 1 binary64) x))))))))) |
(+.f64 (cos.f64 y) x) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(-.f64 x (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 x (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
1 calls:
| 18.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.6% | 3 | z |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (-.f64 #s(literal 0 binary64) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 y z)) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(-.f64 x (*.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x))) |
(*.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 y z)) |
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))) |
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y z)) x)) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (/.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal -1/6 binary64) z)) (/.f64 #s(literal -1 binary64) z)) y)) |
(*.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (+.f64 (*.f64 (*.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) z)) |
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y x)))) |
(-.f64 x (*.f64 y (+.f64 z (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) z)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (-.f64 z (/.f64 z x)) x) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 y z) (*.f64 y (*.f64 (/.f64 z x) #s(literal -2 binary64)))) (*.f64 x x)))) |
(*.f64 (*.f64 y z) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) |
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))) (*.f64 y z))) |
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 (*.f64 y (+.f64 (/.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) x) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 z x))))) |
(-.f64 x (*.f64 y (+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) y) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 y (*.f64 y z)))) z) |
(*.f64 x (+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 y z) x) #s(literal 2 binary64)) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (/.f64 (*.f64 y z) x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 y (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #s(literal 1 binary64)))))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) x))) (*.f64 y (+.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (*.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 z (-.f64 #s(literal 1 binary64) x))))))))) |
(+.f64 (cos.f64 y) x) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
| Outputs |
|---|
(*.f64 (neg.f64 (sin.f64 y)) z) |
(+.f64 (cos.f64 y) x) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
2 calls:
| 16.0ms | y |
| 16.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.3% | 3 | y |
| 86.6% | 3 | z |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (-.f64 #s(literal 0 binary64) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 y z)) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(-.f64 x (*.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x))) |
(*.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 y z)) |
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))) |
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y z)) x)) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (/.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal -1/6 binary64) z)) (/.f64 #s(literal -1 binary64) z)) y)) |
(*.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (+.f64 (*.f64 (*.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) z)) |
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y x)))) |
(-.f64 x (*.f64 y (+.f64 z (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) z)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (-.f64 z (/.f64 z x)) x) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 y z) (*.f64 y (*.f64 (/.f64 z x) #s(literal -2 binary64)))) (*.f64 x x)))) |
(*.f64 (*.f64 y z) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) |
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))) (*.f64 y z))) |
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 (*.f64 y (+.f64 (/.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) x) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 z x))))) |
(-.f64 x (*.f64 y (+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) y) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 y (*.f64 y z)))) z) |
(*.f64 x (+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 y z) x) #s(literal 2 binary64)) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (/.f64 (*.f64 y z) x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 y (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #s(literal 1 binary64)))))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) x))) (*.f64 y (+.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (*.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 z (-.f64 #s(literal 1 binary64) x))))))))) |
(+.f64 (cos.f64 y) x) |
| Outputs |
|---|
(+.f64 (cos.f64 y) x) |
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))) |
(+.f64 (cos.f64 y) x) |
3 calls:
| 16.0ms | x |
| 15.0ms | y |
| 14.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.3% | 3 | y |
| 76.0% | 1 | x |
| 82.6% | 3 | z |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (-.f64 #s(literal 0 binary64) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 y z)) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(-.f64 x (*.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x))) |
(*.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 y z)) |
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))) |
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y z)) x)) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (/.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal -1/6 binary64) z)) (/.f64 #s(literal -1 binary64) z)) y)) |
(*.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (+.f64 (*.f64 (*.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) z)) |
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y x)))) |
(-.f64 x (*.f64 y (+.f64 z (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) z)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (-.f64 z (/.f64 z x)) x) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 y z) (*.f64 y (*.f64 (/.f64 z x) #s(literal -2 binary64)))) (*.f64 x x)))) |
(*.f64 (*.f64 y z) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) |
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))) (*.f64 y z))) |
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 (*.f64 y (+.f64 (/.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) x) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 z x))))) |
(-.f64 x (*.f64 y (+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) y) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 y (*.f64 y z)))) z) |
(*.f64 x (+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 y z) x) #s(literal 2 binary64)) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (/.f64 (*.f64 y z) x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 y (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #s(literal 1 binary64)))))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) x))) (*.f64 y (+.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (*.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 z (-.f64 #s(literal 1 binary64) x))))))))) |
| Outputs |
|---|
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))) |
(+.f64 x #s(literal 1 binary64)) |
3 calls:
| 15.0ms | x |
| 15.0ms | y |
| 15.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.9% | 2 | x |
| 64.9% | 3 | z |
| 66.8% | 3 | y |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (-.f64 #s(literal 0 binary64) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 y z)) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(-.f64 x (*.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x))) |
(*.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 y z)) |
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))) |
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))) |
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y z)) x)) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (/.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal -1/6 binary64) z)) (/.f64 #s(literal -1 binary64) z)) y)) |
(*.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (+.f64 (*.f64 (*.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) z)) |
| Outputs |
|---|
(+.f64 x #s(literal 1 binary64)) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(+.f64 x #s(literal 1 binary64)) |
1 calls:
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.7% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (-.f64 #s(literal 0 binary64) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 y z)) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(-.f64 x (*.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x))) |
(*.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
| Outputs |
|---|
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))) |
(+.f64 x #s(literal 1 binary64)) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.5% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (-.f64 #s(literal 0 binary64) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 y z)) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(-.f64 x (*.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
| Outputs |
|---|
(+.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
x |
3 calls:
| 20.0ms | y |
| 4.0ms | x |
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.5% | 3 | z |
| 64.4% | 3 | x |
| 58.3% | 1 | y |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (-.f64 #s(literal 0 binary64) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 y z)) |
| Outputs |
|---|
(*.f64 y (-.f64 #s(literal 0 binary64) z)) |
(+.f64 x #s(literal 1 binary64)) |
2 calls:
| 4.0ms | x |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.5% | 2 | z |
| 58.3% | 1 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
| Outputs |
|---|
(+.f64 x #s(literal 1 binary64)) |
1 calls:
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.3% | 1 | z |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
| Outputs |
|---|
x |
#s(literal 1 binary64) |
x |
3 calls:
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.8% | 3 | y |
| 57.9% | 3 | x |
| 40.7% | 1 | z |
Compiled 12 to 9 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 1 binary64) |
| Outputs |
|---|
#s(literal 1 binary64) |
3 calls:
| 3.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 20.2% | 1 | z |
| 20.2% | 1 | y |
| 20.2% | 1 | x |
Compiled 12 to 9 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 9.539309112853873e-8 | 1.0344102236481208e-5 |
| 20.0ms | -574102.2753289632 | -0.0004042894209227079 |
| 26.0ms | 256× | 0 | valid |
Compiled 482 to 333 computations (30.9% saved)
ival-cos: 6.0ms (37.4% of total)ival-sin: 5.0ms (31.2% of total)ival-add: 2.0ms (12.5% of total)ival-mult: 2.0ms (12.5% of total)ival-sub: 1.0ms (6.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 9.417248886384881e+25 | 1.4543242255572957e+32 |
| 22.0ms | -2.458132633545866e+121 | -9.964468666723245e+107 |
| 30.0ms | 304× | 0 | valid |
Compiled 378 to 269 computations (28.8% saved)
ival-cos: 7.0ms (36% of total)ival-sin: 6.0ms (30.9% of total)ival-add: 2.0ms (10.3% of total)ival-mult: 2.0ms (10.3% of total)ival-sub: 1.0ms (5.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 9.417248886384881e+25 | 1.4543242255572957e+32 |
| 20.0ms | -2.458132633545866e+121 | -9.964468666723245e+107 |
| 29.0ms | 304× | 0 | valid |
Compiled 360 to 260 computations (27.8% saved)
ival-cos: 8.0ms (40.6% of total)ival-sin: 6.0ms (30.4% of total)ival-add: 2.0ms (10.1% of total)ival-mult: 2.0ms (10.1% of total)ival-sub: 1.0ms (5.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 2.2698988427108746e+243 | 1.6976060772354283e+249 |
| 10.0ms | -1.5257853894791801e+156 | -6.891527575982755e+155 |
| 21.0ms | 224× | 0 | valid |
Compiled 256 to 195 computations (23.8% saved)
ival-cos: 5.0ms (36.6% of total)ival-sin: 4.0ms (29.2% of total)ival-mult: 2.0ms (14.6% of total)ival-sub: 1.0ms (7.3% of total)ival-add: 1.0ms (7.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 0.7111559246009268 | 28891.16544312039 |
| 17.0ms | -5.926242697341364e+40 | -2.6216710215365458e+39 |
| 31.0ms | 240× | 0 | valid |
Compiled 453 to 328 computations (27.6% saved)
ival-cos: 11.0ms (47.6% of total)ival-sin: 8.0ms (34.6% of total)ival-mult: 2.0ms (8.7% of total)ival-sub: 1.0ms (4.3% of total)ival-add: 1.0ms (4.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 1.5462239067019154e+45 | 4.3966496892316464e+46 |
| 21.0ms | -5.926242697341364e+40 | -2.6216710215365458e+39 |
| 33.0ms | 224× | 0 | valid |
Compiled 410 to 307 computations (25.1% saved)
ival-cos: 11.0ms (48.2% of total)ival-sin: 7.0ms (30.7% of total)ival-mult: 2.0ms (8.8% of total)ival-sub: 1.0ms (4.4% of total)ival-add: 1.0ms (4.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 1.5462239067019154e+45 | 4.3966496892316464e+46 |
| 23.0ms | -2473.4732770172564 | -1.1871956563711913e-11 |
| 35.0ms | 272× | 0 | valid |
Compiled 392 to 302 computations (23% saved)
ival-cos: 13.0ms (49.8% of total)ival-sin: 8.0ms (30.7% of total)ival-add: 2.0ms (7.7% of total)ival-mult: 2.0ms (7.7% of total)ival-sub: 1.0ms (3.8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 2.8256734534987227e+31 | 4.7243880820244145e+44 |
| 28.0ms | -2473.4732770172564 | -1.1871956563711913e-11 |
| 44.0ms | 320× | 0 | valid |
Compiled 378 to 293 computations (22.5% saved)
ival-sin: 17.0ms (50.4% of total)ival-cos: 10.0ms (29.6% of total)ival-mult: 3.0ms (8.9% of total)ival-sub: 2.0ms (5.9% of total)ival-add: 2.0ms (5.9% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 5.048796625638776e+28 | 6.053032884247207e+50 |
| 10.0ms | -3.3762211045880433e-136 | -8.69463133877378e-137 |
| 27.0ms | 256× | 0 | valid |
Compiled 252 to 199 computations (21% saved)
ival-sin: 8.0ms (41.9% of total)ival-cos: 6.0ms (31.4% of total)ival-add: 2.0ms (10.5% of total)ival-mult: 2.0ms (10.5% of total)ival-sub: 1.0ms (5.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | -1.1968663497569341e+191 | -9.906041866522787e+184 |
| 13.0ms | 144× | 0 | valid |
Compiled 162 to 130 computations (19.8% saved)
ival-cos: 3.0ms (33.4% of total)ival-sin: 3.0ms (33.4% of total)ival-sub: 1.0ms (11.1% of total)ival-add: 1.0ms (11.1% of total)ival-mult: 1.0ms (11.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.0344102236481208e-5 | 0.0016649418708579661 |
| 15.0ms | -1.5062055049322481e-7 | -2.442424442737048e-8 |
| 20.0ms | 208× | 0 | valid |
Compiled 148 to 130 computations (12.2% saved)
ival-cos: 5.0ms (37.6% of total)ival-sin: 4.0ms (30.1% of total)ival-mult: 2.0ms (15% of total)ival-sub: 1.0ms (7.5% of total)ival-add: 1.0ms (7.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 72× | unsub-neg_binary64 |
| 58× | +-commutative_binary64 |
| 52× | *-commutative_binary64 |
| 52× | neg-mul-1_binary64 |
| 40× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 255 |
| 1 | 189 | 255 |
| 2 | 221 | 255 |
| 3 | 257 | 255 |
| 4 | 296 | 255 |
| 5 | 363 | 255 |
| 6 | 376 | 255 |
| 7 | 384 | 255 |
| 8 | 386 | 255 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z (+.f64 x (cos.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 x #s(literal -1890791267555229/4611686018427387904 binary64)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 4486248158726163/4722366482869645213696 binary64)) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 1 binary64)))))) |
(if (<=.f64 z #s(literal -2600000000000000244841741436295875372270963141093777692807692492122379755335908676977612024414165994280321024 binary64)) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 460000000000000020405926494208 binary64)) (+.f64 (cos.f64 y) x) (*.f64 z (-.f64 (/.f64 x z) (sin.f64 y))))) |
(if (<=.f64 z #s(literal -1040000000000000045788575580355506340436175633157430154205486119000983885849167967318883535824246719417155584 binary64)) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 105000000000000004143972352 binary64)) (+.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -1479999999999999929642848200304330685670485296227521836958940663957579915238066554944305927512328886810784903155536724213423759526553741555490249108508114944 binary64)) (*.f64 (neg.f64 (sin.f64 y)) z) (if (<=.f64 z #s(literal 2449999999999999917570994177415717488600924187502094170090202839452576864773619599073074051115135943720245555432430036752540063384220991391684726612688295561727368559264736302262842256778479792452289014341362536019652381499618929745257446768640 binary64)) (+.f64 (cos.f64 y) x) (*.f64 (neg.f64 (sin.f64 y)) z))) |
(if (<=.f64 y #s(literal -2649999999999999893119795492888449646592 binary64)) (+.f64 (cos.f64 y) x) (if (<=.f64 y #s(literal 3242591731706757/4503599627370496 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))) (+.f64 (cos.f64 y) x))) |
(if (<=.f64 y #s(literal -2649999999999999893119795492888449646592 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1600000000000000141141782484902762251229855744 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))) (+.f64 x #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -550 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 2450000000000000097281110658610848306879791104 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) (+.f64 x #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -2300 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 244999999999999994749036590507983504408576 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))) (+.f64 x #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -8641751204845815/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 x #s(literal 51000000000000004251078098944 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)) |
(if (<=.f64 z #s(literal -117999999999999994315751123632794684716635195864496053306340750781068821304032100127654238408334706020314685399450982108877875948801295535864960340135594303017450435446335297388927813981044736 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) z)) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(if (<=.f64 x #s(literal -2833419889721787/18889465931478580854784 binary64)) x (if (<=.f64 x #s(literal 3804640965202595/2305843009213693952 binary64)) #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z (+.f64 x (cos.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) |
(if (<=.f64 x #s(literal -1890791267555229/4611686018427387904 binary64)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 4486248158726163/4722366482869645213696 binary64)) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 1 binary64)))))) |
(if (or (<=.f64 x #s(literal -1890791267555229/4611686018427387904 binary64)) (not (<=.f64 x #s(literal 4486248158726163/4722366482869645213696 binary64)))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (/.f64 z x))))) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) |
(if (<=.f64 z #s(literal -2600000000000000244841741436295875372270963141093777692807692492122379755335908676977612024414165994280321024 binary64)) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 460000000000000020405926494208 binary64)) (+.f64 (cos.f64 y) x) (*.f64 z (-.f64 (/.f64 x z) (sin.f64 y))))) |
(if (<=.f64 z #s(literal -2600000000000000244841741436295875372270963141093777692807692492122379755335908676977612024414165994280321024 binary64)) (-.f64 x (*.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 460000000000000020405926494208 binary64)) (+.f64 x (cos.f64 y)) (*.f64 z (-.f64 (/.f64 x z) (sin.f64 y))))) |
(if (<=.f64 z #s(literal -1040000000000000045788575580355506340436175633157430154205486119000983885849167967318883535824246719417155584 binary64)) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 105000000000000004143972352 binary64)) (+.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y))))) |
(if (or (<=.f64 z #s(literal -1040000000000000045788575580355506340436175633157430154205486119000983885849167967318883535824246719417155584 binary64)) (not (<=.f64 z #s(literal 105000000000000004143972352 binary64)))) (-.f64 x (*.f64 (sin.f64 y) z)) (+.f64 x (cos.f64 y))) |
(if (<=.f64 z #s(literal -1479999999999999929642848200304330685670485296227521836958940663957579915238066554944305927512328886810784903155536724213423759526553741555490249108508114944 binary64)) (*.f64 (neg.f64 (sin.f64 y)) z) (if (<=.f64 z #s(literal 2449999999999999917570994177415717488600924187502094170090202839452576864773619599073074051115135943720245555432430036752540063384220991391684726612688295561727368559264736302262842256778479792452289014341362536019652381499618929745257446768640 binary64)) (+.f64 (cos.f64 y) x) (*.f64 (neg.f64 (sin.f64 y)) z))) |
(if (or (<=.f64 z #s(literal -1479999999999999929642848200304330685670485296227521836958940663957579915238066554944305927512328886810784903155536724213423759526553741555490249108508114944 binary64)) (not (<=.f64 z #s(literal 2449999999999999917570994177415717488600924187502094170090202839452576864773619599073074051115135943720245555432430036752540063384220991391684726612688295561727368559264736302262842256778479792452289014341362536019652381499618929745257446768640 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (+.f64 x (cos.f64 y))) |
(if (<=.f64 y #s(literal -2649999999999999893119795492888449646592 binary64)) (+.f64 (cos.f64 y) x) (if (<=.f64 y #s(literal 3242591731706757/4503599627370496 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))) (+.f64 (cos.f64 y) x))) |
(if (or (<=.f64 y #s(literal -2649999999999999893119795492888449646592 binary64)) (not (<=.f64 y #s(literal 3242591731706757/4503599627370496 binary64)))) (+.f64 x (cos.f64 y)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))))) |
(if (<=.f64 y #s(literal -2649999999999999893119795492888449646592 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1600000000000000141141782484902762251229855744 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))) (+.f64 x #s(literal 1 binary64)))) |
(if (or (<=.f64 y #s(literal -2649999999999999893119795492888449646592 binary64)) (not (<=.f64 y #s(literal 1600000000000000141141782484902762251229855744 binary64)))) (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))))) |
(if (<=.f64 y #s(literal -550 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 2450000000000000097281110658610848306879791104 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) (+.f64 x #s(literal 1 binary64)))) |
(if (or (<=.f64 y #s(literal -550 binary64)) (not (<=.f64 y #s(literal 2450000000000000097281110658610848306879791104 binary64)))) (+.f64 x #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))) |
(if (<=.f64 y #s(literal -2300 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 244999999999999994749036590507983504408576 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))) (+.f64 x #s(literal 1 binary64)))) |
(if (or (<=.f64 y #s(literal -2300 binary64)) (not (<=.f64 y #s(literal 244999999999999994749036590507983504408576 binary64)))) (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))) |
(if (<=.f64 x #s(literal -8641751204845815/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 x #s(literal 51000000000000004251078098944 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)) |
(if (<=.f64 z #s(literal -117999999999999994315751123632794684716635195864496053306340750781068821304032100127654238408334706020314685399450982108877875948801295535864960340135594303017450435446335297388927813981044736 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) z)) (+.f64 x #s(literal 1 binary64))) |
(if (<=.f64 z #s(literal -117999999999999994315751123632794684716635195864496053306340750781068821304032100127654238408334706020314685399450982108877875948801295535864960340135594303017450435446335297388927813981044736 binary64)) (*.f64 z (-.f64 #s(literal 0 binary64) y)) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(if (<=.f64 x #s(literal -2833419889721787/18889465931478580854784 binary64)) x (if (<=.f64 x #s(literal 3804640965202595/2305843009213693952 binary64)) #s(literal 1 binary64) x)) |
(if (or (<=.f64 x #s(literal -2833419889721787/18889465931478580854784 binary64)) (not (<=.f64 x #s(literal 3804640965202595/2305843009213693952 binary64)))) x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| 10746× | accelerator-lowering-fma.f32 |
| 10746× | accelerator-lowering-fma.f64 |
| 10366× | accelerator-lowering-fma.f32 |
| 10366× | accelerator-lowering-fma.f64 |
| 8552× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 612 |
| 1 | 287 | 607 |
| 2 | 771 | 605 |
| 3 | 2082 | 601 |
| 4 | 4360 | 601 |
| 5 | 6324 | 601 |
| 0 | 8449 | 579 |
| 0 | 530 | 6193 |
| 1 | 1633 | 6097 |
| 2 | 5035 | 5876 |
| 0 | 8434 | 5646 |
| 0 | 26 | 99 |
| 1 | 184 | 97 |
| 2 | 1741 | 97 |
| 0 | 8396 | 96 |
| 0 | 8 | 19 |
| 1 | 42 | 19 |
| 2 | 383 | 19 |
| 3 | 5636 | 19 |
| 0 | 8230 | 19 |
| 0 | 36 | 233 |
| 1 | 262 | 233 |
| 2 | 2256 | 225 |
| 0 | 9912 | 208 |
| 0 | 475 | 4424 |
| 1 | 1452 | 4304 |
| 2 | 4379 | 4261 |
| 0 | 8738 | 4096 |
| 0 | 24 | 121 |
| 1 | 152 | 110 |
| 2 | 1560 | 110 |
| 0 | 8668 | 104 |
| 0 | 668 | 4523 |
| 1 | 2096 | 4270 |
| 2 | 6373 | 4234 |
| 0 | 8270 | 4027 |
| 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 |
| 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 620 to 377 computations (39.2% saved)
Compiled 546 to 244 computations (55.3% saved)
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