
Time bar (total: 10.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 853.0ms | 8 252× | 0 | valid |
| 2.0ms | 3× | 3 | valid |
| 0.0ms | 1× | 2 | valid |
ival-cos: 289.0ms (47.1% of total)ival-sin: 172.0ms (28% of total)ival-mult: 60.0ms (9.8% of total)ival-add: 44.0ms (7.2% of total)ival-sub: 40.0ms (6.5% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% of total)adjust: 0.0ms (0% of total)| 1× | egg-herbie |
| 400× | lower-fma.f64 |
| 400× | lower-fma.f32 |
| 358× | sub-neg |
| 352× | cancel-sign-sub-inv |
| 302× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 90 |
| 1 | 101 | 84 |
| 2 | 248 | 83 |
| 3 | 583 | 83 |
| 4 | 1151 | 83 |
| 5 | 1530 | 83 |
| 6 | 1814 | 83 |
| 7 | 2069 | 83 |
| 8 | 2092 | 83 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 22 | 9 |
| 2 | 42 | 9 |
| 3 | 66 | 9 |
| 4 | 97 | 9 |
| 5 | 151 | 9 |
| 6 | 264 | 9 |
| 7 | 398 | 9 |
| 8 | 480 | 9 |
| 9 | 528 | 9 |
| 10 | 558 | 9 |
| 0 | 558 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 x (cos.f64 y)) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 z (sin.f64 y)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 52.0ms | 512× | 0 | valid |
Compiled 76 to 36 computations (52.6% saved)
ival-sin: 12.0ms (34% of total)ival-cos: 11.0ms (31.2% of total)ival-mult: 8.0ms (22.7% of total)ival-add: 3.0ms (8.5% of total)ival-sub: 2.0ms (5.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% 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× | lower-fma.f64 |
| 400× | lower-fma.f32 |
| 160× | lower-*.f32 |
| 158× | lower-*.f64 |
| 120× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 22 | 24 |
| 2 | 42 | 24 |
| 3 | 66 | 24 |
| 4 | 97 | 24 |
| 5 | 151 | 24 |
| 6 | 264 | 24 |
| 7 | 398 | 24 |
| 8 | 480 | 24 |
| 9 | 528 | 24 |
| 10 | 558 | 24 |
| 0 | 558 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 x (cos.f64 y)) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| 33.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 15.0ms (59.2% of total)ival-sin: 5.0ms (19.7% of total)ival-mult: 2.0ms (7.9% of total)ival-sub: 1.0ms (3.9% of total)ival-add: 1.0ms (3.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))> |
#<alt (+.f64 x (cos.f64 y))> |
#<alt (cos.f64 y)> |
#<alt (*.f64 z (sin.f64 y))> |
#<alt (sin.f64 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))> |
#<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)> |
27 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 |
| 4 620× | lower-*.f32 |
| 4 618× | lower-*.f64 |
| 4 548× | lower-fma.f64 |
| 4 548× | lower-fma.f32 |
| 2 418× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 47 | 21 |
| 2 | 388 | 21 |
| 3 | 5630 | 21 |
| 0 | 8225 | 21 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
| Outputs |
|---|
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.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)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))) |
(+.f64 (fma.f64 (sin.f64 y) (neg.f64 z) x) (cos.f64 y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (+.f64 x (fma.f64 z (sin.f64 y) (cos.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 (fma.f64 z (neg.f64 (sin.f64 y)) (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y)))) |
(fma.f64 (+.f64 x (cos.f64 y)) (*.f64 (-.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (+.f64 x (cos.f64 y)) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (+.f64 x (cos.f64 y)) (/.f64 (+.f64 x (cos.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))) |
(fma.f64 (+.f64 x (cos.f64 y)) (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64) (+.f64 x (cos.f64 y))) |
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (*.f64 (+.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (/.f64 (+.f64 x (cos.f64 y)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))) |
(fma.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (+.f64 x (cos.f64 y)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(fma.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) (*.f64 (sin.f64 y) (neg.f64 z))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 x (cos.f64 y)))) |
(/.f64 (fma.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 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (fma.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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x 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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) |
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (*.f64 (-.f64 x (cos.f64 y)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (*.f64 (-.f64 x (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 x (cos.f64 y)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (fma.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 (fma.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)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x 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))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x 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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 x (cos.f64 y)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 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 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 x (cos.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (cos.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x (cos.f64 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))) |
(/.f64 (*.f64 (fma.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) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) (fma.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) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x 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)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.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)))) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 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 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) |
(*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (*.f64 (+.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))) |
(*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (/.f64 (+.f64 x (cos.f64 y)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) |
(*.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (cos.f64 y))))) |
(*.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (fma.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 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (+.f64 x (cos.f64 y))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (-.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.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 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (+.f64 x (cos.f64 y)) (*.f64 x x))) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
| 1× | egg-herbie |
| 12 396× | lower-fma.f64 |
| 12 396× | lower-fma.f32 |
| 3 376× | lower-*.f64 |
| 3 376× | lower-*.f32 |
| 2 858× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 118 | 674 |
| 1 | 334 | 669 |
| 2 | 869 | 661 |
| 3 | 2601 | 657 |
| 4 | 5310 | 657 |
| 5 | 7449 | 657 |
| 0 | 8079 | 629 |
| 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)) |
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) |
| 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 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1 (* y z)))) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
(- (+ 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)))) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.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)))) |
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (+.f64 x #s(literal 1 binary64))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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))) |
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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 (*.f64 y z) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 y (fma.f64 (*.f64 y (*.f64 y z)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) z)) |
(* 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 |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) 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) |
(sin y) |
(sin.f64 y) |
Compiled 7 422 to 622 computations (91.6% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 278 | 13 | 291 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 278 | 14 | 292 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 74.4% | (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x) |
| 58.5% | (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) | |
| 55.4% | (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) | |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
| 64.7% | (-.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 z (sin.f64 y))) | |
| 75.4% | (-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) | |
| ✓ | 99.9% | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ▶ | 89.2% | (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
| 54.2% | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) | |
| 67.2% | (-.f64 x (fma.f64 y z #s(literal -1 binary64))) | |
| 75.6% | (+.f64 (cos.f64 y) x) | |
| ▶ | 65.3% | (+.f64 x #s(literal 1 binary64)) |
| ▶ | 57.2% | (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
| 26.0% | (neg.f64 (*.f64 z (sin.f64 y))) |
Compiled 440 to 278 computations (36.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | cost-diff | 320 | (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x) |
| ✓ | cost-diff | 6592 | (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 z (sin.f64 y)) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 128 | (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 0 | (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
| 18 478× | lower-fma.f32 |
| 18 466× | lower-fma.f64 |
| 4 860× | lower-*.f32 |
| 4 850× | lower-*.f64 |
| 2 140× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 249 |
| 0 | 63 | 245 |
| 1 | 132 | 244 |
| 2 | 325 | 244 |
| 3 | 886 | 244 |
| 4 | 2427 | 242 |
| 5 | 5066 | 240 |
| 6 | 7433 | 240 |
| 0 | 8412 | 231 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
x |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
#s(literal 1 binary64) |
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x) |
y |
(fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) |
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(*.f64 z #s(literal 1/6 binary64)) |
z |
#s(literal 1/6 binary64) |
#s(literal -1/2 binary64) |
(neg.f64 z) |
x |
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
y |
(*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 z z) |
z |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) |
#s(literal 1 binary64) |
(fma.f64 z (sin.f64 y) (cos.f64 y)) |
(sin.f64 y) |
(cos.f64 y) |
x |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
x |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
x |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
(-.f64 x (fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) z) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x) |
(fma.f64 (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) z) (neg.f64 y) x) |
y |
(fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) |
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(*.f64 z #s(literal 1/6 binary64)) |
z |
#s(literal 1/6 binary64) |
#s(literal -1/2 binary64) |
(neg.f64 z) |
x |
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
(-.f64 x (fma.f64 z (sin.f64 y) #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
x |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 z z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (fma.f64 z (sin.f64 y) (cos.f64 y))) x) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 z z) (*.f64 (cos.f64 (+.f64 y y)) (fma.f64 z z #s(literal 1 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
y |
(*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 z (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(*.f64 z z) |
z |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) |
#s(literal 1 binary64) |
(fma.f64 z (sin.f64 y) (cos.f64 y)) |
(sin.f64 y) |
(cos.f64 y) |
x |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.2% | (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 87.9% | (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x) |
| ✓ | accuracy | 83.2% | (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
| ✓ | accuracy | 80.4% | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | accuracy | 100.0% | (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 100.0% | (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x) |
| ✓ | accuracy | 99.9% | (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 z #s(literal 1/6 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
| 95.0ms | 128× | 0 | valid |
| 74.0ms | 89× | 1 | valid |
| 40.0ms | 38× | 2 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 267 to 39 computations (85.4% saved)
ival-div: 49.0ms (27.4% of total)ival-cos: 33.0ms (18.4% of total)adjust: 24.0ms (13.4% of total)ival-add: 21.0ms (11.7% of total)ival-sin: 20.0ms (11.2% of total)ival-mult: 18.0ms (10.1% of total)ival-sub: 7.0ms (3.9% of total)const: 4.0ms (2.2% of total)ival-neg: 1.0ms (0.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))> |
#<alt (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))> |
#<alt (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))> |
#<alt (+.f64 x #s(literal 1 binary64))> |
#<alt (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))> |
#<alt (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)> |
#<alt (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z))> |
#<alt (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))> |
#<alt (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))> |
#<alt (*.f64 z (sin.f64 y))> |
#<alt (sin.f64 y)> |
#<alt (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))> |
#<alt (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)> |
#<alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))> |
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))> |
#<alt (*.f64 z #s(literal 1/6 binary64))> |
#<alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y 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 (/ 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 (+ 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 (+ 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 (- (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 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 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 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 (* 1/6 (* (pow y 3) z))> |
#<alt (* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y))))> |
#<alt (* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))> |
#<alt (* (pow y 3) (- (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3)))) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2)))))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2) y)) (* -1/6 z))))> |
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))> |
#<alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))> |
#<alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (+ (* -1 z) (* -1/2 y))))> |
#<alt (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y))))> |
#<alt (* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))> |
#<alt (* (pow y 3) (- (+ (* 1/6 z) (/ x (pow y 3))) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2)))))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ (+ z (* -1 (/ x y))) y)) 1/2) y)) (* -1/6 z))))> |
#<alt (+ x (* -1/2 (pow y 2)))> |
#<alt (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))> |
#<alt (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))> |
#<alt (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))> |
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))> |
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))> |
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (pow y 2))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (pow y 2))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (pow y 2))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))> |
#<alt (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))> |
#<alt (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))> |
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#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (neg (* -2 y))) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))> |
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#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (neg (* -2 y))) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))> |
#<alt (+ x (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))> |
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#<alt (+ x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* z (+ (* -1/2 (/ (sin y) (pow (cos y) 2))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2))) (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* (cos (* 2 y)) (pow (sin y) 2)) (pow (cos y) 3))) (* 1/2 (/ (pow (sin y) 2) (pow (cos y) 3))))) (* 1/2 (/ 1 (cos y)))))))))))> |
#<alt (+ x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* z (+ (* -1/2 (/ (sin y) (pow (cos y) 2))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2))) (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* (cos (* 2 y)) (pow (sin y) 2)) (pow (cos y) 3))) (+ (* 1/2 (/ (pow (sin y) 2) (pow (cos y) 3))) (* z (+ (* -1/2 (/ (* (cos (* 2 y)) (pow (sin y) 3)) (pow (cos y) 4))) (+ (* -1/2 (/ (pow (sin y) 3) (pow (cos y) 4))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))))))) (* 1/2 (/ 1 (cos y)))))))))))> |
#<alt (* z (- (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))> |
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#<alt (* z (- (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* (pow z 2) (sin y)))) (/ x z)))))))) (* 1/2 (/ 1 (sin y)))))> |
#<alt (* z (- (+ (* -1/2 (/ (cos y) (* (pow z 3) (pow (sin y) 2)))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* (pow z 3) (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow (cos y) 3) (cos (* 2 y))) (* (pow z 3) (pow (sin y) 4)))) (+ (* -1/2 (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (pow (cos y) 3) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ 1 (* (pow z 2) (sin y)))) (/ x z)))))))))))) (* 1/2 (/ 1 (sin y)))))> |
#<alt (* -1 (* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))> |
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#<alt (* -1 (* z (+ (* -1 (/ (+ x (+ (* -1 (/ (- (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3))) (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3))))) (* 1/2 (/ 1 (sin y)))) z)) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (cos y) (pow (sin y) 2))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (+ (* -1/2 (/ (* (pow (cos y) 3) (cos (* 2 y))) (pow (sin y) 4))) (* 1/2 (/ (pow (cos y) 3) (pow (sin y) 4)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3))) (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3)))))) (* 1/2 (/ 1 (sin y)))) z)) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))> |
#<alt (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))> |
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))> |
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))> |
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))> |
#<alt x> |
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#<alt (* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))> |
#<alt (* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))> |
#<alt (pow y 2)> |
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#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt 1> |
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#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))> |
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))> |
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))> |
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))> |
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))> |
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))> |
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))> |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | y | @ | inf | (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) |
| 3.0ms | y | @ | inf | (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) |
| 2.0ms | y | @ | -inf | (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) |
| 2.0ms | x | @ | 0 | (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) |
| 2.0ms | y | @ | 0 | (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) |
| 1× | batch-egg-rewrite |
| 5 460× | lower-*.f32 |
| 5 450× | lower-*.f64 |
| 4 146× | lower-fma.f32 |
| 4 134× | lower-fma.f64 |
| 3 526× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 181 |
| 0 | 63 | 156 |
| 1 | 305 | 134 |
| 2 | 2744 | 134 |
| 0 | 9029 | 134 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x) |
(fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) |
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
(*.f64 z #s(literal 1/6 binary64)) |
(*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
| Outputs |
|---|
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+.f64 x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(+.f64 (+.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)) x) |
(exp.f64 (log.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) #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 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) (/.f64 (*.f64 x x) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(-.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 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(fma.f64 x #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) x) |
(fma.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) x) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) x) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 z (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x) |
(neg.f64 (neg.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))) |
(/.f64 (neg.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 x (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.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 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) |
(/.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 (neg.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 z (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (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 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) (*.f64 (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (*.f64 x x))) (*.f64 (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))) (*.f64 (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(/.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)) |
(pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) |
(*.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.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 #s(literal 1 binary64) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
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(*.f64 (sin.f64 y) (sin.f64 y)) |
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal -1/4 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 y) (cos.f64 y)) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) |
(*.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 z #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) z) |
(+.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z z)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (*.f64 z z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 z z) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (*.f64 z z))) |
(fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (*.f64 (*.f64 z z) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) |
(/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64))) (*.f64 z z)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) |
(*.f64 z (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(*.f64 z (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y)))) |
(*.f64 (sin.f64 y) (*.f64 z (*.f64 z (sin.f64 y)))) |
(*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) |
(*.f64 (neg.f64 (*.f64 z (sin.f64 y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
(*.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) z) |
(*.f64 (*.f64 (*.f64 z (sin.f64 y)) z) (sin.f64 y)) |
(*.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) z) |
| 1× | egg-herbie |
| 10 116× | lower-fma.f64 |
| 10 116× | lower-fma.f32 |
| 6 368× | lower-*.f64 |
| 6 368× | lower-*.f32 |
| 5 234× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 780 | 7134 |
| 1 | 2495 | 6903 |
| 0 | 8327 | 6470 |
| 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))))) |
(/ 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 (+ 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 (+ 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)) |
(- (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))))) |
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))) |
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(- (cos y) (* z (sin y))) |
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(cos y) |
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1 |
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x |
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x |
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x |
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(* z (sin y)) |
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(* 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)))) |
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(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
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(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
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y |
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(* 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) |
1 |
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(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (+ (* 1/2 (/ (cos (* 2 y)) (pow z 2))) (* 1/2 (/ 1 (pow z 2))))) 1/2)) |
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(* z (- (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))) |
(* z (- (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ x z)))) (* 1/2 (/ 1 (sin y))))) |
(* z (- (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* (pow z 2) (sin y)))) (/ x z)))))))) (* 1/2 (/ 1 (sin y))))) |
(* z (- (+ (* -1/2 (/ (cos y) (* (pow z 3) (pow (sin y) 2)))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* (pow z 3) (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow (cos y) 3) (cos (* 2 y))) (* (pow z 3) (pow (sin y) 4)))) (+ (* -1/2 (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (pow (cos y) 3) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ 1 (* (pow z 2) (sin y)))) (/ x z)))))))))))) (* 1/2 (/ 1 (sin y))))) |
(* -1 (* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))) |
(* -1 (* z (+ (* -1 (/ (+ x (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(* -1 (* z (+ (* -1 (/ (+ x (+ (* -1 (/ (- (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3))) (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3))))) (* 1/2 (/ 1 (sin y)))) z)) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(* -1 (* z (+ (* -1 (/ (+ x (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (cos y) (pow (sin y) 2))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (+ (* -1/2 (/ (* (pow (cos y) 3) (cos (* 2 y))) (pow (sin y) 4))) (* 1/2 (/ (pow (cos y) 3) (pow (sin y) 4)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3))) (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3)))))) (* 1/2 (/ 1 (sin y)))) z)) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) |
(- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) |
(- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) |
(- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) |
x |
(* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y))))))) |
(* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y))))))) |
(* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y))))))) |
x |
(* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
| 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) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (neg.f64 x)) x (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (neg.f64 x)) x (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (neg.f64 x)) x (neg.f64 x))) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1 (* y z)))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))) |
(- (+ 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)))) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(neg.f64 (*.f64 (neg.f64 z) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(neg.f64 (*.f64 (neg.f64 z) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(neg.f64 (*.f64 (neg.f64 z) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(/ 1 (- (cos y) (* z (sin y)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 2))) (/ 1 (- (cos y) (* z (sin y))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 x (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))) |
(+ (* x (- (/ x (pow (- (cos y) (* z (sin y))) 3)) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y))))) |
(fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 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))))) |
(fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- (+ 1 (/ (* z (sin y)) x)) (/ (cos y) x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 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) |
(/.f64 (+.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 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) |
(/.f64 (-.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (fma.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 x x)) (/.f64 (cos.f64 y) x))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (* -1 (/ (- (* z (sin y)) (cos y)) x)) 1) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) (neg.f64 x))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) x)) (* z (sin y))) (cos y)) x)) 1) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) (neg.f64 x)) (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) (neg.f64 x))) (neg.f64 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)) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (*.f64 z (sin.f64 y)) (/.f64 (fma.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) (*.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) (neg.f64 x)))) x)) (cos.f64 y)) (neg.f64 x))) x)) |
(/ 1 (+ 1 x)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2))) |
(fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(fma.f64 y (fma.f64 y (fma.f64 z (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(fma.f64 y (fma.f64 y (fma.f64 (-.f64 (fma.f64 z (/.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (fma.f64 z (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 z (+.f64 x #s(literal 1 binary64))))) (neg.f64 y) (fma.f64 z (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
(/ 1 (+ x (cos y))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)) |
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2))) |
(fma.f64 z (/.f64 (sin.f64 y) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
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x |
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(* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y))))))) |
(*.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (*.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) |
(* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y))))))) |
(*.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (*.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) |
x |
(* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (cos.f64 y))))) (neg.f64 x)) x (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (cos.f64 y))))) (neg.f64 x)) x (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (cos.f64 y))))) (neg.f64 x)) x (neg.f64 x))) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow y 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(* 1/6 z) |
(*.f64 z #s(literal 1/6 binary64)) |
(* 1/6 z) |
(*.f64 z #s(literal 1/6 binary64)) |
(* 1/6 z) |
(*.f64 z #s(literal 1/6 binary64)) |
(* 1/6 z) |
(*.f64 z #s(literal 1/6 binary64)) |
(* 1/6 z) |
(*.f64 z #s(literal 1/6 binary64)) |
(* 1/6 z) |
(*.f64 z #s(literal 1/6 binary64)) |
(* 1/6 z) |
(*.f64 z #s(literal 1/6 binary64)) |
(* 1/6 z) |
(*.f64 z #s(literal 1/6 binary64)) |
(* 1/6 z) |
(*.f64 z #s(literal 1/6 binary64)) |
(* 1/6 z) |
(*.f64 z #s(literal 1/6 binary64)) |
(* 1/6 z) |
(*.f64 z #s(literal 1/6 binary64)) |
(* 1/6 z) |
(*.f64 z #s(literal 1/6 binary64)) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow y 2) (pow z 2)) |
(*.f64 z (*.f64 z (*.f64 y y))) |
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 z z))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2))) |
(*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) (fma.f64 y (*.f64 y #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))) (*.f64 z z))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2))) |
(*.f64 (*.f64 y y) (fma.f64 z z (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) (fma.f64 (*.f64 y y) #s(literal -1/315 binary64) #s(literal 2/45 binary64))) (*.f64 z (*.f64 z #s(literal -1/3 binary64))))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
Compiled 47 601 to 3 294 computations (93.1% saved)
25 alts after pruning (22 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 310 | 16 | 1 326 |
| Fresh | 2 | 6 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 315 | 25 | 1 340 |
| Status | Accuracy | Program |
|---|---|---|
| 58.5% | (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) | |
| ▶ | 75.5% | (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x) |
| 49.7% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 z (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x))) | |
| 62.7% | (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) | |
| 59.8% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 22.4% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (+.f64 (/.f64 x (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (neg.f64 z))) | |
| 42.3% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) | |
| 67.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))) | |
| 70.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y)))))) | |
| 47.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| 26.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) | |
| 75.4% | (-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) | |
| ✓ | 99.9% | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | 89.2% | (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
| 54.2% | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) | |
| 67.2% | (-.f64 x (fma.f64 y z #s(literal -1 binary64))) | |
| ▶ | 75.6% | (+.f64 (cos.f64 y) x) |
| 51.6% | (+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| ✓ | 65.3% | (+.f64 x #s(literal 1 binary64)) |
| 59.6% | (*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) | |
| 19.1% | (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))) | |
| ▶ | 9.3% | (*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
| 2.6% | (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y)))) | |
| ▶ | 26.0% | (neg.f64 (*.f64 z (sin.f64 y))) |
| ▶ | 20.6% | #s(literal 1 binary64) |
Compiled 703 to 455 computations (35.3% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 y)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x) |
| ✓ | cost-diff | 7104 | (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 z (sin.f64 y)) |
| ✓ | cost-diff | 0 | (neg.f64 (*.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (+.f64 (cos.f64 y) x) |
| 1 432× | lower-fma.f32 |
| 1 428× | lower-fma.f64 |
| 1 004× | lower-*.f32 |
| 994× | lower-*.f64 |
| 432× | distribute-lft-neg-in |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 105 |
| 0 | 40 | 105 |
| 1 | 75 | 105 |
| 2 | 144 | 103 |
| 3 | 220 | 101 |
| 4 | 294 | 101 |
| 5 | 397 | 100 |
| 6 | 577 | 97 |
| 7 | 965 | 97 |
| 8 | 1330 | 97 |
| 9 | 1511 | 97 |
| 10 | 1563 | 97 |
| 11 | 1589 | 97 |
| 12 | 1596 | 97 |
| 13 | 1598 | 97 |
| 14 | 1598 | 97 |
| 15 | 1612 | 97 |
| 0 | 1612 | 97 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
#s(literal 1 binary64) |
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
z |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
y |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(*.f64 y #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x) |
#s(literal 1/2 binary64) |
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 y)) |
#s(literal 1 binary64) |
(cos.f64 y) |
y |
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(*.f64 y #s(literal -2 binary64)) |
#s(literal -2 binary64) |
x |
| Outputs |
|---|
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
#s(literal 1 binary64) |
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
z |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
y |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(*.f64 y #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) x) |
#s(literal 1/2 binary64) |
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) |
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (cos.f64 y)) |
(/.f64 #s(literal 1 binary64) (cos.f64 y)) |
#s(literal 1 binary64) |
(cos.f64 y) |
y |
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(*.f64 y #s(literal -2 binary64)) |
#s(literal -2 binary64) |
x |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (cos.f64 y)) |
| ✓ | accuracy | 99.7% | (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) |
| ✓ | accuracy | 99.2% | (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) |
| ✓ | accuracy | 100.0% | (neg.f64 (*.f64 z (sin.f64 y))) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 99.9% | (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 y #s(literal 1/6 binary64)) |
| ✓ | accuracy | 97.0% | (*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 (cos.f64 y) x) |
| 95.0ms | 256× | 0 | valid |
Compiled 111 to 27 computations (75.7% saved)
ival-mult: 25.0ms (44.2% of total)ival-cos: 12.0ms (21.2% of total)ival-add: 5.0ms (8.8% of total)ival-sin: 5.0ms (8.8% of total)const: 4.0ms (7.1% of total)ival-div: 3.0ms (5.3% of total)exact: 1.0ms (1.8% of total)ival-neg: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (cos.f64 y) x)> |
#<alt (cos.f64 y)> |
#<alt (*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))> |
#<alt (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))> |
#<alt (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))> |
#<alt (*.f64 y #s(literal 1/6 binary64))> |
#<alt (neg.f64 (*.f64 z (sin.f64 y)))> |
#<alt (*.f64 z (sin.f64 y))> |
#<alt (sin.f64 y)> |
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)))> |
#<alt (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x)> |
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 y))> |
#<alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))> |
| Outputs |
|---|
#<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 (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> |
#<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 (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* -1 (* y z))> |
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))> |
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))> |
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))> |
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))> |
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))> |
#<alt (* -1 y)> |
#<alt (* y (- (* 1/6 (pow y 2)) 1))> |
#<alt (* y (- (* 1/6 (pow y 2)) 1))> |
#<alt (* y (- (* 1/6 (pow y 2)) 1))> |
#<alt (* 1/6 (pow y 3))> |
#<alt (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* 1/6 (pow y 3))> |
#<alt (* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)))> |
#<alt (* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)))> |
#<alt (* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)))> |
#<alt -1> |
#<alt (- (* 1/6 (pow y 2)) 1)> |
#<alt (- (* 1/6 (pow y 2)) 1)> |
#<alt (- (* 1/6 (pow y 2)) 1)> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 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 (* y (- (* 1/6 (* (pow y 2) z)) z))> |
#<alt (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))> |
#<alt (* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) 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 (* 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 2> |
#<alt (+ 2 (* -1 (pow y 2)))> |
#<alt (+ 2 (* (pow y 2) (- (* 1/12 (pow y 2)) 1)))> |
#<alt (+ 2 (* (pow y 2) (- (* (pow y 2) (+ 1/12 (* -1/360 (pow y 2)))) 1)))> |
#<alt (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))> |
#<alt (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))> |
#<alt (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))> |
#<alt (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))> |
#<alt (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))> |
#<alt (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))> |
#<alt (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))> |
#<alt (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))> |
#<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 (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))> |
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))> |
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))> |
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))> |
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))> |
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))> |
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))> |
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))> |
#<alt (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))> |
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))> |
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))> |
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x))))> |
#<alt (* x (+ 1 (* 1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x))))> |
#<alt (* x (+ 1 (* 1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)) 1)))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (+ 1/2 (* 5/24 (pow y 2)))))> |
#<alt (+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2)))))))> |
#<alt (/ 1 (cos y))> |
#<alt (/ 1 (cos y))> |
#<alt (/ 1 (cos y))> |
#<alt (/ 1 (cos y))> |
#<alt (/ 1 (cos y))> |
#<alt (/ 1 (cos y))> |
#<alt (/ 1 (cos y))> |
#<alt (/ 1 (cos y))> |
#<alt 1> |
#<alt (+ 1 (* -3/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2)))> |
#<alt (/ (cos (* -2 y)) (cos y))> |
#<alt (/ (cos (* -2 y)) (cos y))> |
#<alt (/ (cos (* -2 y)) (cos y))> |
#<alt (/ (cos (* -2 y)) (cos y))> |
#<alt (/ (cos (* -2 y)) (cos y))> |
#<alt (/ (cos (* -2 y)) (cos y))> |
#<alt (/ (cos (* -2 y)) (cos y))> |
#<alt (/ (cos (* -2 y)) (cos y))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | y | @ | inf | (* z (* y (+ (* y (* y 1/6)) -1))) |
| 1.0ms | z | @ | 0 | (* z (* y (+ (* y (* y 1/6)) -1))) |
| 1.0ms | x | @ | 0 | (+ (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* y -2)) (cos y)))) x) |
| 1.0ms | y | @ | -inf | (+ (/ 1 (cos y)) (/ (cos (* y -2)) (cos y))) |
| 1.0ms | y | @ | inf | (+ (/ 1 (cos y)) (/ (cos (* y -2)) (cos y))) |
| 1× | batch-egg-rewrite |
| 5 336× | lower-fma.f32 |
| 5 332× | lower-fma.f64 |
| 3 756× | lower-/.f32 |
| 3 752× | lower-/.f64 |
| 3 550× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 82 |
| 0 | 40 | 82 |
| 1 | 138 | 80 |
| 2 | 1082 | 74 |
| 0 | 8831 | 74 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(*.f64 y #s(literal 1/6 binary64)) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x) |
(/.f64 #s(literal 1 binary64) (cos.f64 y)) |
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) |
| Outputs |
|---|
(+.f64 (cos.f64 y) x) |
(+.f64 x (cos.f64 y)) |
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (cos.f64 y) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)))) |
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 x (cos.f64 y)))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 y)) x) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) x) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)))) |
(fma.f64 (neg.f64 (cos.f64 y)) #s(literal -1 binary64) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
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(/.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 2 binary64)))) (+.f64 x (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x)) (*.f64 (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x) (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x)))) |
(/.f64 (neg.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 2 binary64))))) (neg.f64 (+.f64 x (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal -1/2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #s(literal 1/4 binary64) (-.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 3 binary64))) (fma.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (+.f64 x (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #s(literal 1/4 binary64)) (*.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x)) (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x))) |
(/.f64 (-.f64 (*.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (+.f64 x (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #s(literal 1/4 binary64))) (-.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x)) (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64) x)) |
(*.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal -1/2 binary64))))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x)))) |
(*.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal -1/2 binary64))))) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 y)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 y)) |
(pow.f64 (cos.f64 y) #s(literal -1 binary64)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (neg.f64 (cos.f64 y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (neg.f64 (cos.f64 y)))) |
(neg.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (neg.f64 (cos.f64 y)))) |
(neg.f64 (*.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (neg.f64 (cos.f64 y))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)))) |
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) |
(/.f64 (neg.f64 (cos.f64 (*.f64 y #s(literal -2 binary64)))) (neg.f64 (cos.f64 y))) |
(/.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 (cos.f64 y))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))) (cos.f64 y)) |
(pow.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (neg.f64 (cos.f64 y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64))))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (cos.f64 (*.f64 y #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) |
(*.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (cos.f64 (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) |
(*.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 y))) |
(*.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) |
(*.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 y))) |
(*.f64 (pow.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 15 916× | lower-fma.f64 |
| 15 916× | lower-fma.f32 |
| 3 688× | lower-*.f64 |
| 3 688× | lower-*.f32 |
| 3 402× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 189 | 1630 |
| 1 | 507 | 1584 |
| 2 | 1382 | 1551 |
| 3 | 2666 | 1495 |
| 4 | 5492 | 1494 |
| 5 | 7975 | 1494 |
| 0 | 8058 | 1417 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 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)) |
(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 |
(+ 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) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* 1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* 1/6 (* (pow y 3) z)) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* 1/6 (pow y 3)) |
(* (pow y 3) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 3) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 3) (- 1/6 (/ 1 (pow y 2)))) |
(* 1/6 (pow y 3)) |
(* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))) |
(* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))) |
(* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))) |
-1 |
(- (* 1/6 (pow y 2)) 1) |
(- (* 1/6 (pow y 2)) 1) |
(- (* 1/6 (pow y 2)) 1) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 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)) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z)) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) 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))) |
(* 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) |
2 |
(+ 2 (* -1 (pow y 2))) |
(+ 2 (* (pow y 2) (- (* 1/12 (pow y 2)) 1))) |
(+ 2 (* (pow y 2) (- (* (pow y 2) (+ 1/12 (* -1/360 (pow y 2)))) 1))) |
(+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) |
(+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) |
(+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) |
(+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) |
(+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) |
(+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) |
(+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) |
(+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) |
(+ 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 (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))) |
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))) |
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))) |
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))) |
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))) |
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))) |
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))) |
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))) |
(* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))) |
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))) |
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))) |
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))) |
x |
(* x (+ 1 (* 1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)))) |
(* x (+ 1 (* 1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)))) |
(* x (+ 1 (* 1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)))) |
x |
(* -1 (* x (- (* -1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)) 1))) |
(* -1 (* x (- (* -1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)) 1))) |
(* -1 (* x (- (* -1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)) 1))) |
1 |
(+ 1 (* 1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/2 (* 5/24 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2))))))) |
(/ 1 (cos y)) |
(/ 1 (cos y)) |
(/ 1 (cos y)) |
(/ 1 (cos y)) |
(/ 1 (cos y)) |
(/ 1 (cos y)) |
(/ 1 (cos y)) |
(/ 1 (cos y)) |
1 |
(+ 1 (* -3/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2))) |
(/ (cos (* -2 y)) (cos y)) |
(/ (cos (* -2 y)) (cos y)) |
(/ (cos (* -2 y)) (cos y)) |
(/ (cos (* -2 y)) (cos y)) |
(/ (cos (* -2 y)) (cos y)) |
(/ (cos (* -2 y)) (cos y)) |
(/ (cos (* -2 y)) (cos y)) |
(/ (cos (* -2 y)) (cos y)) |
| Outputs |
|---|
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) x)) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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)) |
(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 (cos.f64 y)) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 x (cos.f64 y)) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 x (cos.f64 y)) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 x (cos.f64 y)) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 x (cos.f64 y)) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 x (cos.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(* -1 (* y z)) |
(*.f64 y (neg.f64 z)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(* 1/6 (* (pow y 3) z)) |
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(* 1/6 (* (pow y 3) z)) |
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))) |
(*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))) |
(*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))) |
(*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
(* 1/6 (pow y 3)) |
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
(* (pow y 3) (- 1/6 (/ 1 (pow y 2)))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
(* (pow y 3) (- 1/6 (/ 1 (pow y 2)))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
(* (pow y 3) (- 1/6 (/ 1 (pow y 2)))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
(* 1/6 (pow y 3)) |
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
(* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
(* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
(* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* 1/6 (pow y 2)) 1) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(- (* 1/6 (pow y 2)) 1) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(- (* 1/6 (pow y 2)) 1) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(* 1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(* 1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* y z)) |
(*.f64 y (neg.f64 z)) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z)) |
(*.f64 y (-.f64 (*.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))))) z)) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z)) |
(neg.f64 (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.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)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* y z) |
(*.f64 y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)) |
(* 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 |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) 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) |
(sin y) |
(sin.f64 y) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 (pow y 2))) |
(-.f64 #s(literal 2 binary64) (*.f64 y y)) |
(+ 2 (* (pow y 2) (- (* 1/12 (pow y 2)) 1))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) |
(+ 2 (* (pow y 2) (- (* (pow y 2) (+ 1/12 (* -1/360 (pow y 2)))) 1))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/360 binary64) #s(literal 1/12 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) |
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) |
(+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) |
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) |
(+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) |
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) |
(+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) |
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) |
(+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) |
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) |
(+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) |
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) |
(+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) |
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) |
(+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) |
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) x)) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))) |
(fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x) |
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))) |
(fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x) |
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))) |
(fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x) |
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))) |
(fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x) |
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))) |
(fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x) |
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))) |
(fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x) |
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))) |
(fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x) |
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))) |
(fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x) |
(* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))) |
(*.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) |
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))) |
(fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x) |
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))) |
(fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x) |
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))) |
(fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x) |
x |
(* x (+ 1 (* 1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)))) |
(fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x) |
(* x (+ 1 (* 1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)))) |
(fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x) |
(* x (+ 1 (* 1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)))) |
(fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x) |
x |
(* -1 (* x (- (* -1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)) 1))) |
(fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x) |
(* -1 (* x (- (* -1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)) 1))) |
(fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x) |
(* -1 (* x (- (* -1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)) 1))) |
(fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/2 (* 5/24 (pow y 2))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 5/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2))))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 61/720 binary64) #s(literal 5/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/ 1 (cos y)) |
(/.f64 #s(literal 1 binary64) (cos.f64 y)) |
(/ 1 (cos y)) |
(/.f64 #s(literal 1 binary64) (cos.f64 y)) |
(/ 1 (cos y)) |
(/.f64 #s(literal 1 binary64) (cos.f64 y)) |
(/ 1 (cos y)) |
(/.f64 #s(literal 1 binary64) (cos.f64 y)) |
(/ 1 (cos y)) |
(/.f64 #s(literal 1 binary64) (cos.f64 y)) |
(/ 1 (cos y)) |
(/.f64 #s(literal 1 binary64) (cos.f64 y)) |
(/ 1 (cos y)) |
(/.f64 #s(literal 1 binary64) (cos.f64 y)) |
(/ 1 (cos y)) |
(/.f64 #s(literal 1 binary64) (cos.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -3/2 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -3/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) #s(literal -3/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -7/80 binary64) #s(literal -1/8 binary64)) #s(literal -3/2 binary64)) #s(literal 1 binary64)) |
(/ (cos (* -2 y)) (cos y)) |
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) |
(/ (cos (* -2 y)) (cos y)) |
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) |
(/ (cos (* -2 y)) (cos y)) |
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) |
(/ (cos (* -2 y)) (cos y)) |
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) |
(/ (cos (* -2 y)) (cos y)) |
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) |
(/ (cos (* -2 y)) (cos y)) |
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) |
(/ (cos (* -2 y)) (cos y)) |
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) |
(/ (cos (* -2 y)) (cos y)) |
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) |
Compiled 14 092 to 1 519 computations (89.2% saved)
31 alts after pruning (23 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 677 | 8 | 685 |
| Fresh | 2 | 15 | 17 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 679 | 31 | 710 |
| Status | Accuracy | Program |
|---|---|---|
| 58.5% | (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) | |
| 48.7% | (fma.f64 #s(literal 1/2 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) x) | |
| 51.6% | (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 y y)) x) | |
| ✓ | 75.5% | (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x) |
| 52.5% | (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (cos.f64 y) x)) | |
| 49.7% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 z (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x))) | |
| 62.7% | (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) | |
| 59.8% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 22.4% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (+.f64 (/.f64 x (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (neg.f64 z))) | |
| 42.3% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) | |
| ▶ | 67.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))) |
| ▶ | 70.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y)))))) |
| 47.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| 26.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) | |
| ✓ | 99.9% | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | 89.2% | (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
| ▶ | 54.2% | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
| 67.2% | (-.f64 x (fma.f64 y z #s(literal -1 binary64))) | |
| 47.5% | (+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) | |
| 48.7% | (+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) | |
| ✓ | 75.6% | (+.f64 (cos.f64 y) x) |
| ✓ | 65.3% | (+.f64 x #s(literal 1 binary64)) |
| 59.6% | (*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) | |
| 19.1% | (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))) | |
| ✓ | 9.3% | (*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
| ▶ | 2.6% | (*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) |
| ▶ | 10.0% | (*.f64 z (neg.f64 y)) |
| 2.6% | (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y)))) | |
| ✓ | 26.0% | (neg.f64 (*.f64 z (sin.f64 y))) |
| 30.2% | (cos.f64 y) | |
| ✓ | 20.6% | #s(literal 1 binary64) |
Compiled 801 to 516 computations (35.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 z (sin.f64 y)) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
| ✓ | cost-diff | 128 | (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 z (neg.f64 y)) |
| ✓ | cost-diff | 0 | (neg.f64 (*.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))) |
| ✓ | cost-diff | 128 | (+.f64 x (neg.f64 (*.f64 z (sin.f64 y)))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y)))))) |
| 1 192× | lower-fma.f64 |
| 1 192× | lower-fma.f32 |
| 904× | lower-*.f32 |
| 890× | lower-*.f64 |
| 346× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 133 |
| 0 | 43 | 122 |
| 1 | 80 | 118 |
| 2 | 161 | 118 |
| 3 | 295 | 118 |
| 4 | 410 | 118 |
| 5 | 616 | 118 |
| 6 | 880 | 118 |
| 7 | 1087 | 118 |
| 8 | 1200 | 118 |
| 9 | 1568 | 118 |
| 10 | 2101 | 118 |
| 11 | 2270 | 118 |
| 12 | 2274 | 118 |
| 13 | 2274 | 118 |
| 14 | 2274 | 118 |
| 15 | 2278 | 118 |
| 0 | 2278 | 115 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y)))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))) |
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y)))) |
x |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(*.f64 z (neg.f64 y)) |
z |
(neg.f64 y) |
y |
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) |
z |
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
y |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
(*.f64 y y) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(*.f64 y z) |
y |
z |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y)))))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y)))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
x |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
z |
(neg.f64 y) |
y |
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) |
z |
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
y |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
(*.f64 y y) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))) |
(-.f64 x (fma.f64 z y #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
(/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 z y #s(literal -1 binary64)) x)) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(-.f64 x (fma.f64 z y #s(literal -1 binary64))) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(fma.f64 y (neg.f64 z) #s(literal 1 binary64)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 100.0% | (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 99.9% | (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 92.0% | (*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 z (neg.f64 y)) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y)))))) |
| 60.0ms | 256× | 0 | valid |
Compiled 135 to 26 computations (80.7% saved)
ival-mult: 11.0ms (27.1% of total)ival-div: 6.0ms (14.8% of total)ival-sin: 6.0ms (14.8% of total)ival-cos: 5.0ms (12.3% of total)ival-sub: 4.0ms (9.9% of total)const: 4.0ms (9.9% of total)ival-add: 2.0ms (4.9% of total)ival-neg: 2.0ms (4.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))))> |
#<alt (+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y)))))> |
#<alt (neg.f64 (*.f64 z (sin.f64 y)))> |
#<alt (*.f64 z (neg.f64 y))> |
#<alt (neg.f64 y)> |
#<alt (*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))> |
#<alt (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))> |
#<alt (*.f64 (*.f64 y y) #s(literal 1/6 binary64))> |
#<alt (*.f64 y y)> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))> |
#<alt (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))> |
#<alt (-.f64 #s(literal 1 binary64) (*.f64 y z))> |
#<alt (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))> |
#<alt (cos.f64 y)> |
#<alt (*.f64 z (sin.f64 y))> |
#<alt (sin.f64 y)> |
#<alt (*.f64 y z)> |
| Outputs |
|---|
#<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 (* -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 (/ -1 (* z (sin y)))> |
#<alt (- (* -1 (/ x (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))> |
#<alt (- (* x (- (* -1 (/ x (* (pow z 3) (pow (sin y) 3)))) (/ 1 (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))> |
#<alt (- (* x (- (* x (- (* -1 (/ x (* (pow z 4) (pow (sin y) 4)))) (/ 1 (* (pow z 3) (pow (sin y) 3))))) (/ 1 (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (/ (* z (sin y)) x)) x)> |
#<alt (/ (- (+ 1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (* -1 (/ (* z (sin y)) x))) x)> |
#<alt (/ (- (+ 1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (+ (* -1 (/ (* z (sin y)) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (* -1 (/ (* z (sin y)) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) x) (* -1 (* z (sin y)))) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) x)) (* (pow z 2) (pow (sin y) 2))) x)) (* -1 (* z (sin y)))) x)) 1) x))> |
#<alt (/ 1 x)> |
#<alt (+ (/ 1 x) (/ (* z (sin y)) (pow x 2)))> |
#<alt (+ (* z (- (/ (* z (pow (sin y) 2)) (pow x 3)) (* -1 (/ (sin y) (pow x 2))))) (/ 1 x))> |
#<alt (+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow x 4)) (* -1 (/ (pow (sin y) 2) (pow x 3))))) (* -1 (/ (sin y) (pow x 2))))) (/ 1 x))> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (/ (- (* -1 (/ x (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)> |
#<alt (/ (- (* -1 (/ (pow x 2) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ x (* z (pow (sin y) 2))))) z)> |
#<alt (/ (- (* -1 (/ (pow x 3) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (pow x 2) (* (pow z 2) (pow (sin y) 3)))))) z)> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (* -1 (/ (+ (/ 1 (sin y)) (/ x (* z (pow (sin y) 2)))) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* z (pow (sin y) 3)))) (/ x (pow (sin y) 2))) z)) (/ 1 (sin y))) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* z (pow (sin y) 4))) (* -1 (/ (pow x 2) (pow (sin y) 3)))) z)) (/ x (pow (sin y) 2))) z)) (/ 1 (sin y))) z))> |
#<alt (/ 1 x)> |
#<alt (+ (/ 1 x) (/ (* y z) (pow x 2)))> |
#<alt (+ (* y (- (/ (* y (pow z 2)) (pow x 3)) (* -1 (/ z (pow x 2))))) (/ 1 x))> |
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (pow z 3) (pow x 4))) (* 1/6 (/ z (pow x 2)))))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))> |
#<alt (/ 1 (- x (* z (sin y))))> |
#<alt (/ 1 (- x (* z (sin y))))> |
#<alt (/ 1 (- x (* z (sin y))))> |
#<alt (/ 1 (- x (* z (sin y))))> |
#<alt (/ 1 (- x (* z (sin y))))> |
#<alt (/ 1 (- x (* z (sin y))))> |
#<alt (/ 1 (- x (* z (sin y))))> |
#<alt (/ 1 (- x (* 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 (* y (- (* 1/6 (* (pow y 2) z)) z))> |
#<alt (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))> |
#<alt (* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) 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 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* 1/6 (pow y 3))> |
#<alt (* 1/6 (pow y 3))> |
#<alt (* 1/6 (pow y 3))> |
#<alt (* 1/6 (pow y 3))> |
#<alt (* 1/6 (pow y 3))> |
#<alt (* 1/6 (pow y 3))> |
#<alt (* 1/6 (pow y 3))> |
#<alt (* 1/6 (pow y 3))> |
#<alt (* 1/6 (pow y 3))> |
#<alt (* 1/6 (pow y 3))> |
#<alt (* 1/6 (pow y 3))> |
#<alt (* 1/6 (pow y 3))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (- 1 (* y z))> |
#<alt (- (+ 1 x) (* y z))> |
#<alt (- (+ 1 x) (* y z))> |
#<alt (- (+ 1 x) (* y z))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))> |
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))> |
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (* -1 (* y z))> |
#<alt (* y (- (+ (/ 1 y) (/ x y)) z))> |
#<alt (* y (- (+ (/ 1 y) (/ x y)) z))> |
#<alt (* y (- (+ (/ 1 y) (/ x y)) z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))> |
#<alt (* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))> |
#<alt (* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (* -1 (* y z))> |
#<alt (* z (- (+ (/ 1 z) (/ x z)) y))> |
#<alt (* z (- (+ (/ 1 z) (/ x z)) y))> |
#<alt (* z (- (+ (/ 1 z) (/ x z)) y))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))> |
#<alt (- 1 (* y z))> |
#<alt (- (+ 1 x) (* y z))> |
#<alt (- (+ 1 x) (* y z))> |
#<alt (- (+ 1 x) (* y z))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))> |
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))> |
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (* -1 (* y z))> |
#<alt (* y (- (+ (/ 1 y) (/ x y)) z))> |
#<alt (* y (- (+ (/ 1 y) (/ x y)) z))> |
#<alt (* y (- (+ (/ 1 y) (/ x y)) z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))> |
#<alt (* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))> |
#<alt (* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (* -1 (* y z))> |
#<alt (* z (- (+ (/ 1 z) (/ x z)) y))> |
#<alt (* z (- (+ (/ 1 z) (/ x z)) y))> |
#<alt (* z (- (+ (/ 1 z) (/ x z)) y))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))> |
#<alt (/ 1 (- 1 (* y z)))> |
#<alt (+ (* -1 (/ x (pow (- 1 (* y z)) 2))) (/ 1 (- 1 (* y z))))> |
#<alt (+ (* x (- (/ x (pow (- 1 (* y z)) 3)) (/ 1 (pow (- 1 (* y z)) 2)))) (/ 1 (- 1 (* y z))))> |
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (- 1 (* y z)) 4))) (/ 1 (pow (- 1 (* y z)) 3)))) (/ 1 (pow (- 1 (* y z)) 2)))) (/ 1 (- 1 (* y z))))> |
#<alt (/ 1 x)> |
#<alt (/ (- (+ 1 (/ (* y z) x)) (/ 1 x)) x)> |
#<alt (/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* y z)) (- (* y z) 1)) (pow x 2))) (/ (* y z) x))) (/ 1 x)) x)> |
#<alt (/ (- (+ 1 (+ (/ (* y z) x) (/ (* (pow (- 1 (* y z)) 2) (- (* y z) 1)) (pow x 3)))) (+ (/ 1 x) (/ (* (- 1 (* y z)) (- (* y z) 1)) (pow x 2)))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (* -1 (/ (- (* y z) 1) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- 1 (* y z)) (- (* y z) 1)) x)) (* y z)) 1) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 1 (* y z)) 2) (- (* y z) 1)) x)) (* -1 (* (- 1 (* y z)) (- (* y z) 1)))) x)) (* y z)) 1) x)) 1) x))> |
#<alt (/ 1 (+ 1 x))> |
#<alt (+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))> |
#<alt (+ (* y (- (/ (* y (pow z 2)) (pow (+ 1 x) 3)) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))> |
#<alt (+ (* y (- (* y (- (/ (* y (pow z 3)) (pow (+ 1 x) 4)) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))> |
#<alt (/ -1 (* y z))> |
#<alt (/ (- (* -1 (/ (+ (/ 1 (pow z 2)) (/ x (pow z 2))) y)) (/ 1 z)) y)> |
#<alt (/ (- (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) (* (pow y 2) z))) (+ (/ 1 z) (+ (/ 1 (* y (pow z 2))) (/ x (* y (pow z 2)))))) y)> |
#<alt (/ (- (* -1 (/ (* (pow (+ 1 x) 2) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) (* (pow y 3) (pow z 2)))) (+ (/ 1 z) (+ (/ 1 (* y (pow z 2))) (+ (/ x (* y (pow z 2))) (/ (* (+ 1 x) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) (* (pow y 2) z)))))) y)> |
#<alt (/ -1 (* y z))> |
#<alt (* -1 (/ (+ (/ 1 z) (+ (/ 1 (* y (pow z 2))) (/ x (* y (pow z 2))))) y))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) (* y z))) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) y)) (/ 1 z)) y))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 x) 2) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) (* y (pow z 2))) (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) z))) y)) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) y)) (/ 1 z)) y))> |
#<alt (/ 1 (+ 1 x))> |
#<alt (+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))> |
#<alt (+ (* z (- (/ (* (pow y 2) z) (pow (+ 1 x) 3)) (* -1 (/ y (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))> |
#<alt (+ (* z (- (* z (- (/ (* (pow y 3) z) (pow (+ 1 x) 4)) (* -1 (/ (pow y 2) (pow (+ 1 x) 3))))) (* -1 (/ y (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))> |
#<alt (/ -1 (* y z))> |
#<alt (/ (- (* -1 (/ (+ (/ 1 (pow y 2)) (/ x (pow y 2))) z)) (/ 1 y)) z)> |
#<alt (/ (- (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (* y (pow z 2)))) (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))))) z)> |
#<alt (/ (- (* -1 (/ (* (pow (+ 1 x) 2) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (* (pow y 2) (pow z 3)))) (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (+ (/ x (* (pow y 2) z)) (/ (* (+ 1 x) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (* y (pow z 2))))))) z)> |
#<alt (/ -1 (* y z))> |
#<alt (* -1 (/ (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z)))) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (* y z))) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) z)) (/ 1 y)) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 x) 2) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (* (pow y 2) z)) (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) y))) z)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) z)) (/ 1 y)) z))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* y z)))> |
#<alt (+ 1 (* -1 (* y z)))> |
#<alt (+ 1 (* -1 (* y z)))> |
#<alt (* -1 (* y z))> |
#<alt (* y (- (/ 1 y) z))> |
#<alt (* y (- (/ 1 y) z))> |
#<alt (* y (- (/ 1 y) z))> |
#<alt (* -1 (* y z))> |
#<alt (* y (+ (* -1 z) (/ 1 y)))> |
#<alt (* y (+ (* -1 z) (/ 1 y)))> |
#<alt (* y (+ (* -1 z) (/ 1 y)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* y z)))> |
#<alt (+ 1 (* -1 (* y z)))> |
#<alt (+ 1 (* -1 (* y z)))> |
#<alt (* -1 (* y z))> |
#<alt (* z (- (/ 1 z) y))> |
#<alt (* z (- (/ 1 z) y))> |
#<alt (* z (- (/ 1 z) y))> |
#<alt (* -1 (* y z))> |
#<alt (* z (+ (* -1 y) (/ 1 z)))> |
#<alt (* z (+ (* -1 y) (/ 1 z)))> |
#<alt (* z (+ (* -1 y) (/ 1 z)))> |
#<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 (* 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)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | (/ 1 (+ x (- 1 (* y z)))) |
| 1.0ms | z | @ | 0 | (* z (* y (* (* y y) 1/6))) |
| 1.0ms | y | @ | inf | (/ 1 (+ x (- 1 (* y z)))) |
| 1.0ms | z | @ | inf | (/ 1 (+ x (- 1 (* y z)))) |
| 0.0ms | z | @ | inf | (* z (* y (* (* y y) 1/6))) |
| 1× | batch-egg-rewrite |
| 7 136× | lower-fma.f64 |
| 7 136× | lower-fma.f32 |
| 4 872× | lower-*.f32 |
| 4 858× | lower-*.f64 |
| 3 014× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 112 |
| 0 | 43 | 102 |
| 1 | 154 | 98 |
| 2 | 960 | 96 |
| 0 | 9422 | 91 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y)))))) |
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 y)) |
(neg.f64 y) |
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) |
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
(*.f64 y y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
(*.f64 y z) |
| Outputs |
|---|
(+.f64 x (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 z (sin.f64 y)) x) |
(+.f64 (*.f64 z (sin.f64 y)) (neg.f64 (neg.f64 x))) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (fma.f64 z (sin.f64 y) x)) |
(+.f64 (/.f64 (*.f64 x x) (fma.f64 z (sin.f64 y) x)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 z (sin.f64 y) x))) |
(+.f64 (neg.f64 (neg.f64 x)) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 z (sin.f64 y))) |
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) x)) #s(literal 1 binary64))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 z (sin.f64 y) x)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 z (sin.f64 y) x))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 z (sin.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 z (sin.f64 y)) x))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (fma.f64 z (sin.f64 y) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 z (sin.f64 y) x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) x) (*.f64 x x)))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 z (sin.f64 y))) |
(fma.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)) (neg.f64 (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) x) |
(fma.f64 z (sin.f64 y) (neg.f64 (neg.f64 x))) |
(fma.f64 z (sin.f64 y) (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(fma.f64 z (sin.f64 y) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 z (neg.f64 (sin.f64 y)) (neg.f64 (neg.f64 x))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(fma.f64 z (neg.f64 (neg.f64 (sin.f64 y))) x) |
(fma.f64 z (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 x))) |
(fma.f64 z (neg.f64 (neg.f64 (sin.f64 y))) (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(fma.f64 z (neg.f64 (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(fma.f64 (sin.f64 y) z x) |
(fma.f64 (sin.f64 y) z (neg.f64 (neg.f64 x))) |
(fma.f64 (sin.f64 y) z (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) (neg.f64 (neg.f64 x))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) x) |
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64) x) |
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64) (neg.f64 (neg.f64 x))) |
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (neg.f64 (neg.f64 x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 z (sin.f64 y))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) x)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 z (sin.f64 y) x))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) x) |
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) (neg.f64 (neg.f64 x))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) #s(literal 0 binary64))) x) |
(fma.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) #s(literal 0 binary64))) (neg.f64 (neg.f64 x))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)))))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)))))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)))))) (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 z (sin.f64 y) (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 z (sin.f64 y) (cos.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 z (sin.f64 y) (cos.f64 y))))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)))))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (+.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 z (sin.f64 y) (cos.f64 y))))) (fma.f64 z (sin.f64 y) (cos.f64 y))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) |
(*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y))))))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(*.f64 (+.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) |
(*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))))) |
(*.f64 (/.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) |
(+.f64 (cos.f64 y) #s(literal 0 binary64)) |
(cos.f64 y) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(literal 0 binary64)) (-.f64 (cos.f64 y) #s(literal 0 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) |
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) #s(literal 0 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) #s(literal 0 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) |
(/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) |
(/.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (*.f64 z (sin.f64 y))) |
(/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) #s(literal 0 binary64))) |
(/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) #s(literal 0 binary64)))) |
(/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) #s(literal 0 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y)))) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) |
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) #s(literal 0 binary64)))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 (neg.f64 z) (neg.f64 (sin.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z)) |
(*.f64 (*.f64 z #s(literal -1 binary64)) (sin.f64 y)) |
(*.f64 (neg.f64 (neg.f64 (sin.f64 y))) z) |
(*.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64)) (sin.f64 y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) z) |
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) z) |
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (neg.f64 z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (sin.f64 y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) z) |
(sin.f64 y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z y))) |
(/.f64 (*.f64 z y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 z y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 z y)) |
(*.f64 z y) |
(*.f64 y z) |
(*.f64 (*.f64 z y) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 6 042× | lower-*.f64 |
| 6 042× | lower-*.f32 |
| 5 844× | lower-fma.f64 |
| 5 844× | lower-fma.f32 |
| 2 102× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 515 | 3992 |
| 1 | 1587 | 3834 |
| 2 | 4967 | 3785 |
| 0 | 8367 | 3661 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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 (* 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))) |
(+ 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))) |
(* -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 (* 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))) |
(+ 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))) |
(/ -1 (* z (sin y))) |
(- (* -1 (/ x (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(- (* x (- (* -1 (/ x (* (pow z 3) (pow (sin y) 3)))) (/ 1 (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(- (* x (- (* x (- (* -1 (/ x (* (pow z 4) (pow (sin y) 4)))) (/ 1 (* (pow z 3) (pow (sin y) 3))))) (/ 1 (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(/ 1 x) |
(/ (+ 1 (/ (* z (sin y)) x)) x) |
(/ (- (+ 1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (* -1 (/ (* z (sin y)) x))) x) |
(/ (- (+ 1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (+ (* -1 (/ (* z (sin y)) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))))) x) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ (* z (sin y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) x) (* -1 (* z (sin y)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) x)) (* (pow z 2) (pow (sin y) 2))) x)) (* -1 (* z (sin y)))) x)) 1) x)) |
(/ 1 x) |
(+ (/ 1 x) (/ (* z (sin y)) (pow x 2))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow x 3)) (* -1 (/ (sin y) (pow x 2))))) (/ 1 x)) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow x 4)) (* -1 (/ (pow (sin y) 2) (pow x 3))))) (* -1 (/ (sin y) (pow x 2))))) (/ 1 x)) |
(/ -1 (* z (sin y))) |
(/ (- (* -1 (/ x (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (* -1 (/ (pow x 2) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ x (* z (pow (sin y) 2))))) z) |
(/ (- (* -1 (/ (pow x 3) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (pow x 2) (* (pow z 2) (pow (sin y) 3)))))) z) |
(/ -1 (* z (sin y))) |
(* -1 (/ (+ (/ 1 (sin y)) (/ x (* z (pow (sin y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* z (pow (sin y) 3)))) (/ x (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* z (pow (sin y) 4))) (* -1 (/ (pow x 2) (pow (sin y) 3)))) z)) (/ x (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(/ 1 x) |
(+ (/ 1 x) (/ (* y z) (pow x 2))) |
(+ (* y (- (/ (* y (pow z 2)) (pow x 3)) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (pow z 3) (pow x 4))) (* 1/6 (/ z (pow x 2)))))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(/ 1 (- x (* z (sin y)))) |
(/ 1 (- x (* z (sin y)))) |
(/ 1 (- x (* z (sin y)))) |
(/ 1 (- x (* z (sin y)))) |
(/ 1 (- x (* z (sin y)))) |
(/ 1 (- x (* z (sin y)))) |
(/ 1 (- x (* z (sin y)))) |
(/ 1 (- x (* 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)) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z)) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) 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 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* 1/6 (* (pow y 3) z)) |
(* 1/6 (* (pow y 3) z)) |
(* 1/6 (* (pow y 3) z)) |
(* 1/6 (* (pow y 3) z)) |
(* 1/6 (* (pow y 3) z)) |
(* 1/6 (* (pow y 3) z)) |
(* 1/6 (* (pow y 3) z)) |
(* 1/6 (* (pow y 3) z)) |
(* 1/6 (* (pow y 3) z)) |
(* 1/6 (* (pow y 3) z)) |
(* 1/6 (* (pow y 3) z)) |
(* 1/6 (* (pow y 3) z)) |
(* 1/6 (* (pow y 3) z)) |
(* 1/6 (* (pow y 3) z)) |
(* 1/6 (* (pow y 3) z)) |
(* 1/6 (* (pow y 3) z)) |
(* 1/6 (* (pow y 3) z)) |
(* 1/6 (* (pow y 3) z)) |
(* 1/6 (* (pow y 3) z)) |
(* 1/6 (* (pow y 3) z)) |
(* 1/6 (* (pow y 3) z)) |
(* 1/6 (* (pow y 3) z)) |
(* 1/6 (* (pow y 3) z)) |
(* 1/6 (* (pow y 3) z)) |
(* 1/6 (pow y 3)) |
(* 1/6 (pow y 3)) |
(* 1/6 (pow y 3)) |
(* 1/6 (pow y 3)) |
(* 1/6 (pow y 3)) |
(* 1/6 (pow y 3)) |
(* 1/6 (pow y 3)) |
(* 1/6 (pow y 3)) |
(* 1/6 (pow y 3)) |
(* 1/6 (pow y 3)) |
(* 1/6 (pow y 3)) |
(* 1/6 (pow y 3)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(- 1 (* y z)) |
(- (+ 1 x) (* y z)) |
(- (+ 1 x) (* y z)) |
(- (+ 1 x) (* y z)) |
x |
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x))) |
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x))) |
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x))) |
x |
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* -1 (* y z)))) |
(* -1 (* y z)) |
(* y (- (+ (/ 1 y) (/ x y)) z)) |
(* y (- (+ (/ 1 y) (/ x y)) z)) |
(* y (- (+ (/ 1 y) (/ x y)) z)) |
(* -1 (* y z)) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* -1 (* y z)))) |
(* -1 (* y z)) |
(* z (- (+ (/ 1 z) (/ x z)) y)) |
(* z (- (+ (/ 1 z) (/ x z)) y)) |
(* z (- (+ (/ 1 z) (/ x z)) y)) |
(* -1 (* y z)) |
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y)))) |
(- 1 (* y z)) |
(- (+ 1 x) (* y z)) |
(- (+ 1 x) (* y z)) |
(- (+ 1 x) (* y z)) |
x |
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x))) |
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x))) |
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x))) |
x |
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* -1 (* y z)))) |
(* -1 (* y z)) |
(* y (- (+ (/ 1 y) (/ x y)) z)) |
(* y (- (+ (/ 1 y) (/ x y)) z)) |
(* y (- (+ (/ 1 y) (/ x y)) z)) |
(* -1 (* y z)) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* -1 (* y z)))) |
(* -1 (* y z)) |
(* z (- (+ (/ 1 z) (/ x z)) y)) |
(* z (- (+ (/ 1 z) (/ x z)) y)) |
(* z (- (+ (/ 1 z) (/ x z)) y)) |
(* -1 (* y z)) |
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y)))) |
(/ 1 (- 1 (* y z))) |
(+ (* -1 (/ x (pow (- 1 (* y z)) 2))) (/ 1 (- 1 (* y z)))) |
(+ (* x (- (/ x (pow (- 1 (* y z)) 3)) (/ 1 (pow (- 1 (* y z)) 2)))) (/ 1 (- 1 (* y z)))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (- 1 (* y z)) 4))) (/ 1 (pow (- 1 (* y z)) 3)))) (/ 1 (pow (- 1 (* y z)) 2)))) (/ 1 (- 1 (* y z)))) |
(/ 1 x) |
(/ (- (+ 1 (/ (* y z) x)) (/ 1 x)) x) |
(/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* y z)) (- (* y z) 1)) (pow x 2))) (/ (* y z) x))) (/ 1 x)) x) |
(/ (- (+ 1 (+ (/ (* y z) x) (/ (* (pow (- 1 (* y z)) 2) (- (* y z) 1)) (pow x 3)))) (+ (/ 1 x) (/ (* (- 1 (* y z)) (- (* y z) 1)) (pow x 2)))) x) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ (- (* y z) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- 1 (* y z)) (- (* y z) 1)) x)) (* y z)) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 1 (* y z)) 2) (- (* y z) 1)) x)) (* -1 (* (- 1 (* y z)) (- (* y z) 1)))) x)) (* y z)) 1) x)) 1) x)) |
(/ 1 (+ 1 x)) |
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2))) |
(+ (* y (- (/ (* y (pow z 2)) (pow (+ 1 x) 3)) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(+ (* y (- (* y (- (/ (* y (pow z 3)) (pow (+ 1 x) 4)) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(/ -1 (* y z)) |
(/ (- (* -1 (/ (+ (/ 1 (pow z 2)) (/ x (pow z 2))) y)) (/ 1 z)) y) |
(/ (- (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) (* (pow y 2) z))) (+ (/ 1 z) (+ (/ 1 (* y (pow z 2))) (/ x (* y (pow z 2)))))) y) |
(/ (- (* -1 (/ (* (pow (+ 1 x) 2) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) (* (pow y 3) (pow z 2)))) (+ (/ 1 z) (+ (/ 1 (* y (pow z 2))) (+ (/ x (* y (pow z 2))) (/ (* (+ 1 x) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) (* (pow y 2) z)))))) y) |
(/ -1 (* y z)) |
(* -1 (/ (+ (/ 1 z) (+ (/ 1 (* y (pow z 2))) (/ x (* y (pow z 2))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) (* y z))) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) y)) (/ 1 z)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 x) 2) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) (* y (pow z 2))) (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) z))) y)) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) y)) (/ 1 z)) y)) |
(/ 1 (+ 1 x)) |
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2))) |
(+ (* z (- (/ (* (pow y 2) z) (pow (+ 1 x) 3)) (* -1 (/ y (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(+ (* z (- (* z (- (/ (* (pow y 3) z) (pow (+ 1 x) 4)) (* -1 (/ (pow y 2) (pow (+ 1 x) 3))))) (* -1 (/ y (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(/ -1 (* y z)) |
(/ (- (* -1 (/ (+ (/ 1 (pow y 2)) (/ x (pow y 2))) z)) (/ 1 y)) z) |
(/ (- (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (* y (pow z 2)))) (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))))) z) |
(/ (- (* -1 (/ (* (pow (+ 1 x) 2) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (* (pow y 2) (pow z 3)))) (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (+ (/ x (* (pow y 2) z)) (/ (* (+ 1 x) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (* y (pow z 2))))))) z) |
(/ -1 (* y z)) |
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (* y z))) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) z)) (/ 1 y)) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 x) 2) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (* (pow y 2) z)) (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) y))) z)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) z)) (/ 1 y)) z)) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(* -1 (* y z)) |
(* y (- (/ 1 y) z)) |
(* y (- (/ 1 y) z)) |
(* y (- (/ 1 y) z)) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (/ 1 y))) |
(* y (+ (* -1 z) (/ 1 y))) |
(* y (+ (* -1 z) (/ 1 y))) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(* -1 (* y z)) |
(* z (- (/ 1 z) y)) |
(* z (- (/ 1 z) y)) |
(* z (- (/ 1 z) y)) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (/ 1 z))) |
(* z (+ (* -1 y) (/ 1 z))) |
(* z (+ (* -1 y) (/ 1 z))) |
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))))) |
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)) |
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) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(neg.f64 (*.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 (* -1 (/ (* z (sin y)) x)))) |
(-.f64 x (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))) |
(* x (+ 1 (* -1 (/ (* z (sin y)) x)))) |
(-.f64 x (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))) |
(* x (+ 1 (* -1 (/ (* z (sin y)) x)))) |
(-.f64 x (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))) |
x |
(* -1 (* x (- (/ (* z (sin y)) x) 1))) |
(neg.f64 (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal -1 binary64)))) |
(* -1 (* x (- (/ (* z (sin y)) x) 1))) |
(neg.f64 (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal -1 binary64)))) |
(* -1 (* x (- (/ (* z (sin y)) x) 1))) |
(neg.f64 (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal -1 binary64)))) |
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))) |
(neg.f64 (*.f64 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))) |
(* z (- (/ x z) (sin y))) |
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 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 (* z (- (* -1 (/ x z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y))) |
x |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 z y)) |
(+ x (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(fma.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) x) |
(+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))) |
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)) x) |
(- 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 (* z (sin y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.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 (* -1 (/ (* z (sin y)) x)))) |
(-.f64 x (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))) |
(* x (+ 1 (* -1 (/ (* z (sin y)) x)))) |
(-.f64 x (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))) |
(* x (+ 1 (* -1 (/ (* z (sin y)) x)))) |
(-.f64 x (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))) |
x |
(* -1 (* x (- (/ (* z (sin y)) x) 1))) |
(neg.f64 (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal -1 binary64)))) |
(* -1 (* x (- (/ (* z (sin y)) x) 1))) |
(neg.f64 (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal -1 binary64)))) |
(* -1 (* x (- (/ (* z (sin y)) x) 1))) |
(neg.f64 (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal -1 binary64)))) |
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))) |
(neg.f64 (*.f64 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))) |
(* z (- (/ x z) (sin y))) |
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 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 (* z (- (* -1 (/ x z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y))) |
x |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 z y)) |
(+ x (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(fma.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) x) |
(+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))) |
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(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y))) (*.f64 z y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y)))) z)) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 x) 2) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (* (pow y 2) z)) (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) y))) z)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) z)) (/ 1 y)) z)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y))) (*.f64 z (*.f64 y y))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y))) (/.f64 (+.f64 x #s(literal 1 binary64)) y))) z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y)))) z)) (neg.f64 z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y z))) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(* -1 (* y z)) |
(*.f64 z (neg.f64 y)) |
(* y (- (/ 1 y) z)) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(* y (- (/ 1 y) z)) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(* y (- (/ 1 y) z)) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(* -1 (* y z)) |
(*.f64 z (neg.f64 y)) |
(* y (+ (* -1 z) (/ 1 y))) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(* y (+ (* -1 z) (/ 1 y))) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(* y (+ (* -1 z) (/ 1 y))) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y z))) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(* -1 (* y z)) |
(*.f64 z (neg.f64 y)) |
(* z (- (/ 1 z) y)) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(* z (- (/ 1 z) y)) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(* z (- (/ 1 z) y)) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(* -1 (* y z)) |
(*.f64 z (neg.f64 y)) |
(* z (+ (* -1 y) (/ 1 z))) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(* z (+ (* -1 y) (/ 1 z))) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(* z (+ (* -1 y) (/ 1 z))) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y z))) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(+ 1 (* y (- (* -1/2 y) z))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) |
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64)) |
(- (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))) |
(neg.f64 (*.f64 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))) |
(* z (- (/ (cos y) z) (sin y))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 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 (* 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))) |
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 y (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64)))) z)) |
(* 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 |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) 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) |
(sin y) |
(sin.f64 y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
Compiled 27 808 to 2 899 computations (89.6% saved)
37 alts after pruning (29 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 486 | 18 | 1 504 |
| Fresh | 7 | 11 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 2 | 6 | 8 |
| Total | 1 498 | 37 | 1 535 |
| Status | Accuracy | Program |
|---|---|---|
| 71.0% | (fma.f64 (sin.f64 y) (neg.f64 z) x) | |
| 27.4% | (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) | |
| 26.7% | (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) #s(literal 1 binary64)) | |
| 48.7% | (fma.f64 #s(literal 1/2 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) x) | |
| 51.6% | (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 y y)) x) | |
| ✓ | 75.5% | (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x) |
| 52.5% | (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (cos.f64 y) x)) | |
| 49.7% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 z (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x))) | |
| 4.8% | (/.f64 (*.f64 (neg.f64 y) (*.f64 z (*.f64 z y))) (+.f64 #s(literal 0 binary64) (*.f64 z y))) | |
| 62.4% | (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) | |
| 13.1% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) #s(literal -1/2 binary64))) | |
| 59.8% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 21.2% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (fma.f64 x (/.f64 x (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 x (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z)) | |
| 6.5% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y y))) (/.f64 x (*.f64 z (*.f64 y y))))) z)) | |
| 42.3% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) | |
| 42.3% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) x)) x)) | |
| 27.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))) | |
| 53.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y)))) | |
| 47.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| 26.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) | |
| ✓ | 99.9% | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | 54.2% | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
| 62.5% | (-.f64 x (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))) | |
| 47.5% | (+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) | |
| 48.7% | (+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) | |
| ✓ | 75.6% | (+.f64 (cos.f64 y) x) |
| ✓ | 65.3% | (+.f64 x #s(literal 1 binary64)) |
| 30.1% | (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (neg.f64 (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 z (sin.f64 y) x))) | |
| 45.2% | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) x)) (-.f64 #s(literal 1 binary64) (fma.f64 z y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 z y x)))) | |
| 2.6% | (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) y) | |
| 53.2% | (*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y)) | |
| 2.6% | (*.f64 z (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))) | |
| 6.9% | (*.f64 z (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) | |
| ✓ | 10.0% | (*.f64 z (neg.f64 y)) |
| ✓ | 26.0% | (neg.f64 (*.f64 z (sin.f64 y))) |
| 30.2% | (cos.f64 y) | |
| ✓ | 20.6% | #s(literal 1 binary64) |
Compiled 1 286 to 573 computations (55.4% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 z (neg.f64 y)) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 y y)) x) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) #s(literal 1 binary64)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y)))) |
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) |
(*.f64 z (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) y) |
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(*.f64 z (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))) |
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 z (*.f64 z y))) (+.f64 #s(literal 0 binary64) (*.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) x)) (-.f64 #s(literal 1 binary64) (fma.f64 z y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 z y x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y y))) (/.f64 x (*.f64 z (*.f64 y y))))) z)) |
(cos.f64 y) |
(+.f64 (cos.f64 y) x) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
(-.f64 x (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y)))))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (cos.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (neg.f64 (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 z (sin.f64 y) x))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 z (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))) |
(-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x) |
(-.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 z (sin.f64 y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (fma.f64 x (/.f64 x (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 x (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (+.f64 (/.f64 x (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (neg.f64 z))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 18.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 17.0ms | z |
| 17.0ms | x |
| 16.0ms | y |
| 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) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 z (neg.f64 y)) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 y y)) x) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) #s(literal 1 binary64)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y)))) |
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) |
(*.f64 z (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) y) |
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(*.f64 z (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))) |
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 z (*.f64 z y))) (+.f64 #s(literal 0 binary64) (*.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) x)) (-.f64 #s(literal 1 binary64) (fma.f64 z y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 z y x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y y))) (/.f64 x (*.f64 z (*.f64 y y))))) z)) |
(cos.f64 y) |
(+.f64 (cos.f64 y) x) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
(-.f64 x (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y)))))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (cos.f64 y) x) |
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
4 calls:
| 14.0ms | y |
| 12.0ms | x |
| 12.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 11.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | x |
| 89.2% | 1 | y |
| 99.5% | 3 | z |
| 99.6% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 z (neg.f64 y)) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 y y)) x) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) #s(literal 1 binary64)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y)))) |
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) |
(*.f64 z (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) y) |
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(*.f64 z (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))) |
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 z (*.f64 z y))) (+.f64 #s(literal 0 binary64) (*.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) x)) (-.f64 #s(literal 1 binary64) (fma.f64 z y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 z y x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y y))) (/.f64 x (*.f64 z (*.f64 y y))))) z)) |
(cos.f64 y) |
(+.f64 (cos.f64 y) x) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (cos.f64 y) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
3 calls:
| 11.0ms | z |
| 10.0ms | x |
| 10.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.2% | 3 | x |
| 91.3% | 3 | z |
| 98.9% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 z (neg.f64 y)) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 y y)) x) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) #s(literal 1 binary64)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y)))) |
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) |
(*.f64 z (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) y) |
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(*.f64 z (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))) |
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 z (*.f64 z y))) (+.f64 #s(literal 0 binary64) (*.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) x)) (-.f64 #s(literal 1 binary64) (fma.f64 z y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 z y x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y y))) (/.f64 x (*.f64 z (*.f64 y y))))) z)) |
(cos.f64 y) |
(+.f64 (cos.f64 y) x) |
(neg.f64 (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(neg.f64 (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) x) |
(neg.f64 (*.f64 z (sin.f64 y))) |
3 calls:
| 11.0ms | y |
| 10.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.6% | 3 | z |
| 82.8% | 3 | y |
| 75.6% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 z (neg.f64 y)) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 y y)) x) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) #s(literal 1 binary64)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y)))) |
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) |
(*.f64 z (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) y) |
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(*.f64 z (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))) |
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 z (*.f64 z y))) (+.f64 #s(literal 0 binary64) (*.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) x)) (-.f64 #s(literal 1 binary64) (fma.f64 z y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 z y x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y y))) (/.f64 x (*.f64 z (*.f64 y y))))) z)) |
(cos.f64 y) |
(+.f64 (cos.f64 y) x) |
| Outputs |
|---|
(+.f64 (cos.f64 y) x) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(+.f64 (cos.f64 y) x) |
2 calls:
| 13.0ms | y |
| 11.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.8% | 3 | y |
| 80.3% | 2 | z |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 z (neg.f64 y)) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 y y)) x) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) #s(literal 1 binary64)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y)))) |
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) |
(*.f64 z (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) y) |
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(*.f64 z (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))) |
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 z (*.f64 z y))) (+.f64 #s(literal 0 binary64) (*.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) x)) (-.f64 #s(literal 1 binary64) (fma.f64 z y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 z y x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y y))) (/.f64 x (*.f64 z (*.f64 y y))))) z)) |
(cos.f64 y) |
| Outputs |
|---|
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(cos.f64 y) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
4 calls:
| 24.0ms | x |
| 12.0ms | z |
| 9.0ms | y |
| 9.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.6% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 75.0% | 3 | x |
| 70.1% | 2 | z |
| 72.5% | 3 | y |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 z (neg.f64 y)) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 y y)) x) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) #s(literal 1 binary64)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y)))) |
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) |
(*.f64 z (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) y) |
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(*.f64 z (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))) |
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 z (*.f64 z y))) (+.f64 #s(literal 0 binary64) (*.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) x)) (-.f64 #s(literal 1 binary64) (fma.f64 z y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 z y x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y y))) (/.f64 x (*.f64 z (*.f64 y y))))) z)) |
| Outputs |
|---|
(+.f64 x #s(literal 1 binary64)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
3 calls:
| 13.0ms | y |
| 12.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.5% | 3 | y |
| 71.5% | 3 | x |
| 67.2% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 z (neg.f64 y)) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 y y)) x) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.4% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 z (neg.f64 y)) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 x #s(literal 1 binary64)) |
(fma.f64 z (neg.f64 y) #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
3 calls:
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.9% | 3 | x |
| 67.8% | 2 | z |
| 65.3% | 1 | y |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 z (neg.f64 y)) |
| Outputs |
|---|
(+.f64 x #s(literal 1 binary64)) |
(*.f64 z (neg.f64 y)) |
3 calls:
| 4.0ms | z |
| 2.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.4% | 2 | z |
| 65.3% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 65.3% | 1 | x |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 x #s(literal 1 binary64)) |
1 calls:
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.3% | 1 | z |
Compiled 4 to 3 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 1 binary64) |
| Outputs |
|---|
#s(literal 1 binary64) |
4 calls:
| 1.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 20.6% | 1 | x |
| 20.6% | 1 | y |
| 20.6% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 20.6% | 1 | z |
Compiled 24 to 17 computations (29.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9812993543865846 | 0.9999999308511386 |
| 0.0ms | -1666679377562.662 | -14090434.65958473 |
Compiled 15 to 14 computations (6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 365624270486245.44 | 1.292820756686932e+19 |
| 0.0ms | -1666679377562.662 | -14090434.65958473 |
Compiled 15 to 14 computations (6.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 5.905194513742182e+152 | 6.724355495847453e+155 |
| 9.0ms | -3.860608597732769e+224 | -1.3493245665913189e+224 |
| 17.0ms | 208× | 0 | valid |
Compiled 236 to 183 computations (22.5% saved)
ival-cos: 4.0ms (34.5% of total)ival-sin: 4.0ms (34.5% of total)ival-sub: 1.0ms (8.6% of total)ival-add: 1.0ms (8.6% of total)ival-mult: 1.0ms (8.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 4.2287225423087196e-7 | 3378.860185238779 |
| 23.0ms | -7.12760808663347e+52 | -2.2204227299298035e+50 |
| 23.0ms | 288× | 0 | valid |
Compiled 411 to 302 computations (26.5% saved)
ival-cos: 6.0ms (36.7% of total)ival-sin: 6.0ms (36.7% of total)ival-mult: 2.0ms (12.2% of total)ival-sub: 1.0ms (6.1% of total)ival-add: 1.0ms (6.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9812993543865846 | 0.9999999308511386 |
| 0.0ms | -14090434.65958473 | -0.9999856723343084 |
Compiled 15 to 14 computations (6.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 4373837124745905.0 | 7774575052432688.0 |
| 23.0ms | -4.6253489972594514e+20 | -504788340732114800.0 |
| 24.0ms | 192× | 0 | valid |
Compiled 267 to 206 computations (22.8% saved)
ival-cos: 10.0ms (51.2% of total)ival-sin: 6.0ms (30.7% of total)ival-sub: 1.0ms (5.1% of total)ival-add: 1.0ms (5.1% of total)ival-mult: 1.0ms (5.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 2.6133441433623677e+67 | 6.826119479136539e+71 |
| 19.0ms | -4.6253489972594514e+20 | -504788340732114800.0 |
| 33.0ms | 240× | 0 | valid |
Compiled 287 to 222 computations (22.6% saved)
ival-cos: 11.0ms (40.4% of total)ival-sin: 7.0ms (25.7% of total)ival-mult: 6.0ms (22% of total)ival-sub: 1.0ms (3.7% of total)ival-add: 1.0ms (3.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 0.4730032706482545 | 365624270486244.44 |
| 18.0ms | -4.2369678323240466e-7 | -4.43257951021326e-18 |
| 29.0ms | 309× | 0 | valid |
| 1.0ms | 1× | 3 | valid |
| 1.0ms | 8× | 1 | valid |
| 0.0ms | 2× | 2 | valid |
Compiled 335 to 274 computations (18.2% saved)
ival-sin: 10.0ms (42.7% of total)ival-cos: 8.0ms (34.2% of total)ival-sub: 2.0ms (8.5% of total)ival-add: 2.0ms (8.5% of total)ival-mult: 2.0ms (8.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 1.8982841916142878e+205 | 4.162828984400095e+207 |
| 9.0ms | 112× | 0 | valid |
Compiled 120 to 98 computations (18.3% saved)
ival-cos: 2.0ms (31.9% of total)ival-sin: 2.0ms (31.9% of total)ival-add: 1.0ms (16% of total)ival-mult: 1.0ms (16% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 24× | +-commutative_binary64 |
| 20× | *-commutative_binary64 |
| 20× | sub-neg_binary64 |
| 12× | neg-sub0_binary64 |
| 12× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 255 |
| 1 | 99 | 255 |
| 2 | 123 | 255 |
| 3 | 133 | 255 |
| 4 | 136 | 255 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000000000000 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) x) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 4458563631096791/4503599627370496 binary64)) (+.f64 (cos.f64 y) x) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000000000000 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) x) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 500000000000000 binary64)) (+.f64 (cos.f64 y) x) (fma.f64 (sin.f64 y) (neg.f64 z) x))) |
(if (<=.f64 z #s(literal -134999999999999992807008869416731225926484980280336045169135113384444654792105546384294437018216071506723710152304052390772622075430636811986018302758689344254191960787178284553635717412856802630012138112024760864613714624512 binary64)) (neg.f64 (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 110000000000000011507058562473419478732976770901436004752438097511792917535279055179127954487954226462107988599498470682665928285010969485275828793945096192 binary64)) (+.f64 (cos.f64 y) x) (neg.f64 (*.f64 z (sin.f64 y))))) |
(if (<=.f64 y #s(literal -225000000000000006782388425387090500352678526189568 binary64)) (+.f64 (cos.f64 y) x) (if (<=.f64 y #s(literal 1098878309078401/36028797018963968 binary64)) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) (+.f64 (cos.f64 y) x))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -10000000 binary64)) (-.f64 x (fma.f64 y z #s(literal -1 binary64))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 4458563631096791/4503599627370496 binary64)) (cos.f64 y) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))) |
(if (<=.f64 y #s(literal -820000000000000000 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 4400000000000000 binary64)) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -275000000000000000000 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 26499999999999999767011209767868523776771414925510542357380678549504 binary64)) (-.f64 x (fma.f64 y z #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -1239148965104995/151115727451828646838272 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1080863910568919/2251799813685248 binary64)) (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(if (<=.f64 z #s(literal 180000000000000014129657424230589946762157682638068819147413830189719221250881123391161386857738278912676396244886996078564315809278249033928334188147405964907765567338670167523961299141694687699270958579712 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 z (neg.f64 y))) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000000000000 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) x) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 4458563631096791/4503599627370496 binary64)) (+.f64 (cos.f64 y) x) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000000000000 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) x) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 4458563631096791/4503599627370496 binary64)) (+.f64 x (cos.f64 y)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000000000000 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) x) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 500000000000000 binary64)) (+.f64 (cos.f64 y) x) (fma.f64 (sin.f64 y) (neg.f64 z) x))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000000000000 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) x) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 500000000000000 binary64)) (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) (neg.f64 z) x))) |
(if (<=.f64 z #s(literal -134999999999999992807008869416731225926484980280336045169135113384444654792105546384294437018216071506723710152304052390772622075430636811986018302758689344254191960787178284553635717412856802630012138112024760864613714624512 binary64)) (neg.f64 (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 110000000000000011507058562473419478732976770901436004752438097511792917535279055179127954487954226462107988599498470682665928285010969485275828793945096192 binary64)) (+.f64 (cos.f64 y) x) (neg.f64 (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -134999999999999992807008869416731225926484980280336045169135113384444654792105546384294437018216071506723710152304052390772622075430636811986018302758689344254191960787178284553635717412856802630012138112024760864613714624512 binary64)) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z #s(literal 110000000000000011507058562473419478732976770901436004752438097511792917535279055179127954487954226462107988599498470682665928285010969485275828793945096192 binary64)) (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))) |
(if (<=.f64 y #s(literal -225000000000000006782388425387090500352678526189568 binary64)) (+.f64 (cos.f64 y) x) (if (<=.f64 y #s(literal 1098878309078401/36028797018963968 binary64)) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) (+.f64 (cos.f64 y) x))) |
(if (<=.f64 y #s(literal -225000000000000006782388425387090500352678526189568 binary64)) (+.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 1098878309078401/36028797018963968 binary64)) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) (+.f64 x (cos.f64 y)))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -10000000 binary64)) (-.f64 x (fma.f64 y z #s(literal -1 binary64))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 4458563631096791/4503599627370496 binary64)) (cos.f64 y) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))) |
(if (<=.f64 y #s(literal -820000000000000000 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 4400000000000000 binary64)) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -275000000000000000000 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 26499999999999999767011209767868523776771414925510542357380678549504 binary64)) (-.f64 x (fma.f64 y z #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -1239148965104995/151115727451828646838272 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1080863910568919/2251799813685248 binary64)) (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(if (<=.f64 z #s(literal 180000000000000014129657424230589946762157682638068819147413830189719221250881123391161386857738278912676396244886996078564315809278249033928334188147405964907765567338670167523961299141694687699270958579712 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 z (neg.f64 y))) |
(if (<=.f64 z #s(literal 180000000000000014129657424230589946762157682638068819147413830189719221250881123391161386857738278912676396244886996078564315809278249033928334188147405964907765567338670167523961299141694687699270958579712 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 y (neg.f64 z))) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| 15 916× | lower-fma.f64 |
| 15 916× | lower-fma.f32 |
| 12 396× | lower-fma.f64 |
| 12 396× | lower-fma.f32 |
| 10 116× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 189 | 1630 |
| 1 | 507 | 1584 |
| 2 | 1382 | 1551 |
| 3 | 2666 | 1495 |
| 4 | 5492 | 1494 |
| 5 | 7975 | 1494 |
| 0 | 8058 | 1417 |
| 0 | 24 | 112 |
| 0 | 43 | 102 |
| 1 | 154 | 98 |
| 2 | 960 | 96 |
| 0 | 9422 | 91 |
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 47 | 21 |
| 2 | 388 | 21 |
| 3 | 5630 | 21 |
| 0 | 8225 | 21 |
| 0 | 780 | 7134 |
| 1 | 2495 | 6903 |
| 0 | 8327 | 6470 |
| 0 | 515 | 3992 |
| 1 | 1587 | 3834 |
| 2 | 4967 | 3785 |
| 0 | 8367 | 3661 |
| 0 | 118 | 674 |
| 1 | 334 | 669 |
| 2 | 869 | 661 |
| 3 | 2601 | 657 |
| 4 | 5310 | 657 |
| 5 | 7449 | 657 |
| 0 | 8079 | 629 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 569 to 290 computations (49% saved)
Compiled 540 to 158 computations (70.7% saved)
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